Geometry; 12/20

We went over our homework assignment and answered any questions that the students had today before taking the final quiz of 2016!  The homework check quiz took the rest of the time in class.


Assignment:  none;

Merry Christmas and have a great break from school!

Honors Geometry; 12/20

We introduced the concept of what similar polygons are today by going through our final lesson of 2016!  We went through how to identify the congruent angles and the proportional sides in similar shapes and then worked through two different calculation problems together.  Finding the scale factor in every similarity problem is the key step to getting the correct answer.


Assignment:  section 7-3;  page 250-251;  CE  1-10 all;  WE  1-13 odd, 15-27 all


Merry Christmas and have a great break from school!

Geometry; 12/19

We continued our work with inequalities today by taking a look at how to work with inequalities in a single triangle.  We went through examples showing how to determine the longest/shortest sides of triangles and how they relate to the size of angles in the triangle.  We also went through the process of how to determine the range of values for the side lengths of a triangle.

Assignment:  section 6-4;  pg. 222-223;  WE 7-15;  Triangle Inequalities WS  (skip 31, 33)

Honors Geometry; 12/19

We continued our work with similarity today by going over how to work with proportions.  Solving proportions is an algebra skill that we will work with extensively in this chapter.  We went over 4 properties of proportions that will be helpful in this unit, as well as how to set up proportions based on diagrams of figures.  The students then got started on their homework assignment.


Assignment:  section 7-2;  page 247-248;  WE  1-28, 33-35

Geometry; 12/16

We had a short day today with the 2-hour delay and our winter assembly.  We spent the time explaining a little more about the scavenger hunt project together and also collecting last night's homework. The assignment today was some additional practice on some review topics.


Assignment:  section 6-2;  page 210;  CE 5-12

Honors Geometry; 12/16

The students got back their Chapter 6 Test from Wednesday and had a chance to look over their scores.  We then went through a brief lesson on working with fractions and setting up ratios from various figures.  These ratios will be used extensively in this chapter as we work on the concept of similarity.

Assignment:  Section 7-1;  page 243-244;  WE  #1-30 all

Geometry; 12/15

School was cancelled due to snow!  Have a fun and safe day!

Honors Geometry; 12/15

School was cancelled due to snow!  Have a fun and safe day!

Geometry; 12/14

We continued our work with inequalities today by working with conditional statements again.  We had previously worked with if..then and converse statements.  The two new types of statements are the inverse and the contrapositive.  Both of these statements involve the word "not", and each still needs to be evaluated as either true or false.  We also went over how to work with venn diagrams and inequalities in order to make various conclusions.

Assignment:  conditionals WS  #2-16 evens +  section 6-2;  page 211;  WE 5-8, 11-12

Honors Geometry; 12/14

We turned in our chapter 6 review assignments today, as well as the chapter 6 entry task sheets.  The students then took the chapter 6 test in class.


Assignment:  extra credit puzzle option

Geometry; 12/13

We started chapter 6 today on inequalities in geometry.  We reviewed some concepts of algebra inequalities before taking a look at how to recognize inequalities in geometric drawings.  We also introduced the concept of what an inequality proof looks like.

Assignment:  section 6-1;  page 205;  CE  #1-19 all,  page 206;  WE  #1-8 all

Honors Geometry; 12/13

We spent some additional time today reviewing for the chapter 6 test tomorrow.  We went over the 1st review sheet from Friday, and then worked on the 2nd review sheet in class.  The answers to this second review sheet will be posted on this blogsite later this afternoon for the students to check their work.

Assignment:  Chapter 6 Review Sheet


Inequality Proofs;

1.  done together in class
2.  skip
3.             statements                                   reasons
     angle 1 < angle 3                                  given
     BA parallel to CD                                given
     AC > AD                                              given
     angle 3 congruent to angle 2                if lines ll, then AIA congruent
     angle 1 < angle 2                                  substitution
     BC > AC                                              longer side will be opposite larger angle
     BC > AD                                              subst./ transitive

4.    statements                                            reasons
     AC bisects angle BAD                         given
    angle 1 congruent to angle 2                 def. of bisect
     angle 3 = angle 1 + angle B                 ext. angle = sum of remote int. angles
    angle 3 > angle 1                                   property of inequality
    angle 3 > angle 2                                  substitution
    AD > CD                                              longer side will be opposite larger angle

Hinge Theorem worksheet

1.  angle 1 > angle 2
2.  angle 1 > angle 2
3.  ZB > XB
4.  HJ > KP
5.  angle 2 > angle 1
6.  angle 4 > angle 3
7.  angle PRS > angle PRQ
8.  FH > GE
9.  KP > KG
10.  x < 14
11.  x < 6
12.  x > 4
13.  x > 7
14.  x < 7
15.  x < 8
16.  x < 80
17.  x < 54/7
18.  x < 6
19.  x > 7
20.  x < 7
21.  x > 2

Proof

                  Statement                                      Reasons
      AB congruent to AD                               given
 angle ACD = angle B + angle BAC            ext. angle = sum of remote int. angles
angle ACD > angle B                                   property of inequality
angle B congruent to angle D                      if isos. triangle, then base angles congruent
angle ACD > angle D                                  substitution
AC < AD                                                      shorter side is opposite the smaller angle

Geometry; 12/12

School was cancelled due to snow!  Have a fun and safe day!

Honors Geometry; 12/12

School was cancelled due to snow!  Have a fun and safe day!

Our test will be postponed until Wednesday, 12/14

Geometry; 12/9

We went over the schedule today for the remaining days before Christmas break and how the semester finals fit into our schedule as well.  We then introduced the geometry scavenger hunt project that the students will be working on over the next few weeks.  We went through the packet together of how to put the project together and showed different examples of past student work.  The due date for this project is Monday, Jan. 9.  There is an extra credit option for turning in the finished project on Tuesday, Dec. 20.

Assignment:  none

Honors Geometry; 12/9

We had a two hour delay today, so the classes were only 25 minutes long.  We went over the homework assignment from last night and answered any questions that students had.  I then passed out the chapter 6 review sheet to the students as their assignment.  We will go over this assignment on Monday and do our final review for the chapter 6 test on Tuesday.

Assignment:  Chapter 6 review sheet

Geometry; 12/8

We turned in our review sheets and entry tasks sheets for Chapter 5 to begin the period today.  We then spent the remainder of the period taking the chapter 5 test.


Assignment:  extra credit puzzle option after the test

Honors Geometry; 12/8

We continued our work with inequalities in triangles today by going over how to handle inequalities between 2 triangles.  Whereas we worked with 5 different ways to prove triangles congruent, there are only 2 ways in which to work with triangles that are not the same size and shape.  The SAS and SSS inequality theorems are the concepts that we went over today.  These are both versions of the Hinge Theorem and its Converse.  We went over what these types of proofs look like before getting started on the assignment.


Assignment:  section 6-5;  page 230;  CE 1-8;  page 231-232;  WE  #1-11

Geometry; 12/7

We wrapped up our study of quadrilaterals today by going over the homework on trapezoids and answering any questions that the students had.  We then worked two other problems together using isosceles trapezoids.  One involved a calculation and one involved a proof.  These two review problems both will be helpful on tomorrow's test.  The rest of the period was spent working on the chapter 5 review sheet.

Assignment:  Chapter 5 review sheet

Review Sheet Answers

Trapezoids

1.  16
2.  17
3.  4
4.  8
5.  2
6.  78
7.  63, 117
8.  72, 108
9.  13
10.  15
11.  65, 115, 115
12.  angle B, angle CFE, angle DEF
13.  10, 15
14.  6, 8
15.  12
16.  24, 12
17.  2x, x = 1.2

Practice 20

1.  true
2.  false
3.  false
4.  true
5.  false
6.  angle Q
7.  RQ
8.  7.5
9.  3.7
10.  trapezoid
11.  6
12.  x = 3;  DF = 18
13.  angle GFE = 92;  angle DEF = 88
14.  rectangle
15.  angle WXY congruent to angle WZY
16.  WX parallel to ZY or WZ congruent to XY
17.  WX parallel to ZY or WZ congruent to XY
18.  ZP congruent to PX
19.  proof
                statements                                             reasons
   angle XWZ congruent to angle XYZ               given
  WX parallel to ZY                                             given
  angle WXZ congruent to angle XZY                if parallel lines, AIA congruent
  ZX congruent to ZX                                          reflexive
  triangle XWZ congruent to tri. ZYX                AAS
  WX congruent to ZY                                        CPCTC
  WXYZ is parallelogram                                   if one pair of opp. sides is
                                                                           congruent and parallel then
                                                                           parallel.

Quadrilaterals

1.  92,  88
2.  10
3.  x = 2
4.  x = 3
5.  AE = 13.4
6.  90
7.  angle HEF congruent to angle HGF
8.  EF parallel to HG or EH congruent to FG
9.  EF parallel to HG or EH congruent to FG
10.  I is midpoint of HF
11.  angle A ;  DE = 13
12.  BC = 24
13.  trapezoid
14.  median / midsegment
15.  isosceles trapezoid
16.  18
17.  80, 80
18.  rectangle
19.  rhombus
20.  isosceles trapezoid

Honors Geometry; 12/7

We continued our work with inequalities today by taking a look at how inequalities in a single triangle are handled.  We went over the inequality theorems involving both sides and angles, using information to rank the various angles and sides within a triangle.  Most of the ideas today are concepts that can be done mentally.  The problems then become a lot of drawing recognition that is involved to answer them.


Assignment:  section 6-4;  page 221;  CE  #1-12;  page 222-223;  WE  #1-16, 19

Geometry; 12/6

We continued our work with quadrilaterals today by going over how to solve problems involving trapezoids.  This shape has only one pair of sides that are parallel, but can be viewed as part of a triangle.  It has two sets of base angles and a midsegment that is parallel to both bases.  We went through 3-4 examples of calculation problems that can be done with trapezoids before the students got started on their homework.


Assignment:  section 5-5;  page 192-193;  WE  #1-18 all

Honors Geometry; 12/6

We continued our work with inequalities in geometry today by showing another way to work with inequality proofs.  We also introduced two new terms in how conditional statements are used in geometry.  The inverse and the contrapositive of statements were demonstrated as they relate to if..then statements in geometry.  We also went through how a venn diagram can be used to answer questions about inequalities in geometry.

Today was also the introduction of a end of semester project that will be due on Jan. 9.  I went over the explanation of the project with the students and showed them a few examples in class of what a finished product looks like.  We will be showing more examples in the days to come.


Assignment:  section 6-2;  page 210-212;  WE  #1-18 all

Geometry; 12/5

We continued our work with special parallelograms today by going over how to work with calculations involving rhombi, rectangles, and squares.  We went through 4-5 examples of how to perform calculations on these shapes using their unique properties.  The students then got started on their assignment towards the end of the period.


Assignment:  Special Parallelograms WS packet

Honors Geometry; 12/5

The students got back their chapter 5 tests today and had a chance to ask any questions that they may have had.  We then got started with the next unit of study today:  inequalities in geometry.  We reviewed some algebra inequalities that are important to know for this chapter and then began the process of showing the students what properties of inequalities look like in geometry.  We went through their first inequality proofs together to get them started.


Assignment:  section 6-1;  page 205;  CE  #1-19;  page 206;  WE  #1-8

Geometry; 12/2

The lesson today focused on the special properties of rectangles, rhombi, and squares.  These are all parallelograms with unique properties that can be helpful in working with different types of problems.  We went over each shape quickly to point out some of its unique properties as parallelograms before getting the students started on their assignment.

Assignment:  section 5-4;  page 186-187;  CE  #1-10 all,  WE  #1-10 all

Honors Geometry; 12/2

We turned in the entry tasks and the ch. 5 review sheet at the beginning of the period.  The rest of the time was spent taking the chapter 5 test in class.


Assignment:  extra credit puzzle option after the test

Geometry; 12/1

We collected our entry task sheets and the chapter 5 quiz review sheets to start off the period.  The students then spent the rest of the period taking the chapter 5 quiz.

Assignment:  extra credit puzzle option

Honors Geometry; 12/1

We continued our work with trapezoids today by going over how to work with isosceles trapezoids.  These have congruent legs, base angles, and diagonals.  We went through these properties and showed how they would be applied in a couple of different proof problems.  The students then got to work on their chapter 5 review sheet in class.


Assignment:  Chapter 5 review sheet

Chapter 5 Test tomorrow

Review Sheet Answers

Practice 20

1.  true
2.  false
3.  false
4.  true
5.  false
6.  angle Q
7.  RQ
8.  7.5
9.  3.7
10.  trapezoid
11.  6
12.  x = 3;  DF = 18
13.  angle GFE = 92;  angle DEF = 88
14.  rectangle
15.  angle WXY congruent to angle WZY
16.  WX parallel to ZY or WZ congruent to XY
17.  WX parallel to ZY or WZ congruent to XY
18.  ZP congruent to PX
19.  proof
                statements                                             reasons
   angle XWZ congruent to angle XYZ               given
  WX parallel to ZY                                             given
  angle WXZ congruent to angle XZY                if parallel lines, AIA congruent
  ZX congruent to ZX                                          reflexive
  triangle XWZ congruent to tri. ZYX                AAS
  WX congruent to ZY                                        CPCTC
  WXYZ is parallelogram                                   if one pair of opp. sides is
                                                                           congruent and parallel then
                                                                           parallel.

Quadrilaterals

1.  92,  88
2.  10
3.  x = 2
4.  x = 3
5.  AE = 13.4
6.  90
7.  angle HEF congruent to angle HGF
8.  EF parallel to HG or EH congruent to FG
9.  EF parallel to HG or EH congruent to FG
10.  I is midpoint of HF
11.  angle A ;  DE = 13
12.  BC = 24
13.  trapezoid
14.  median / midsegment
15.  isosceles trapezoid
16.  18
17.  80, 80
18.  rectangle
19.  rhombus
20.  isosceles trapezoid

Test 20;  Chapter 5

1.  triangle YWX
2.  angle XYZ
3.  110
4.  a. 30      b.  64
5.  a. 12      b. 6
6.  4
7.  rectangle
8.  rhombus
9.  parallelogram
10.  rectangle
11.  rhombus
12.  square
13.  sometimes
14.  sometimes
15.  never
16.  sometimes
17.  median ; midsegment
18.  a.  115;  b.  65
19.  7

Geometry; 11/30

We answered several homework questions today on how to work with midpoints and systems of equations.  We then did our final two practice proofs using parallelograms.  There is one of these on the quiz tomorrow, so everyone got one last chance to hone their proof skills.  The rest of the period was used to work on the ch. 5 quiz review assignment.


Assignment:  Chapter 5 quiz review WS


Ch. 5 Quiz tomorrow

Review Sheet Answers:

Page 1

1.  parallel and congruent
2.  congruent and parallel
3.  congruent
4.  diagonals
5.  yes;  both diagonals bisect
6.  no;  only one set of opp. sides are parallel
7.  no;  only 1 set of opp. sides are parallel
8.  no;  only 1 set of opp. sides are congruent
9.  x = 3;  y = 2
10.  x = 37;  y = 22
11.  x = 9;  y = 10

pg. 173;  CE  #1-9

1.  yes;  both pair of opp. sides congruent
2.  yes;  one pair of opp. sides are congruent and parallel
3.  no;  only one diagonal bisects
4.  yes;  both diagonals bisect
5.  no;  only 1 pair of opp. angles are congruent
6.  yes;  both pair of SSI angles are supplementary
7.  yes;  both pair of opp. sides are parallel
8.  no;  only 1 pair of opp. sides are congruent
9.  yes;  both pair of opp. sides are parallel

Midsegment Problems

1,  x = 8; y = 10; z = 10
2.  x = 6.5
3.  x = 20
4.  x = 9
5.  x = 31
6.  x = 10
7.  x = 60; y = 140
8.  x = 8.75;  y = 15
9.  x = 50
10.  x = 6;  y = 6.5

Theorems Involving Parallel Lines

1.  true
2.  false
3.  true
4.  true
5.  x = 20; y = 10
6.  x =5; y = 3
7.  15
8.  27
9.  6
10.  2a
11.  84
12.  70
13.  72
14.  7
15.  16
16.  6
17.  2

Honors Geometry; 11/30

We went through our final topic of chapter 5 today dealing with trapezoids.  We demonstrated how to identify parts of the trapezoid and then use these parts in various types of calculations.  We went through how to find the midsegment and the lengths of the bases in 3-4 problems together before the students got started on their assignment.


Assignment:  section 5-5;  page 192-194;  WE  #1-25;  page 195;  #1-7

Geometry; 11/29

We continued to work with properties of parallel lines today by going over 3 new theorems together.  We worked on finding the distance between parallel lines, using parallel lines and two sets of transversals, and then went over what a midsegment is and how to use it in various calculations.  We went through 3-4 examples together before getting started on the assignment.

Assignment:  section 5-3;  page 180-181;  WE  #1-17 all;  page 182;  Self Test 1;  #1-6

Honors Geometry; 11/29

We continued our work with special parallelograms today by taking a look at how to work calculation problems using the properties of rectangles, rhombi, and squares.  We went over 4-5 together, as well as doing a proof together using these properties.  The students then got started on their assignment.


Assignment:  section 5-4;  page 187-188;  WE  #11-28 all, 30

Geometry; 11/28

We spent the first part of the period taking a practice quiz on the material that we learned last week.  This review session was just a refresher to help us get caught up with what we were working on today.  The lesson that we went over today focused on how we can look at a diagram to prove that it is a parallelogram.  We went through one more sample proof together to come up with a sixth property of parallelograms before then showing several recognition diagrams that the students will be working on in their assignment.  We did 5-6 recognition drawings together before the students got started on their homework.


Assignment:  Proving Parallelograms WS + Practice Quiz  (finish)

Honors Geometry; 11/28

We returned from Thanksgiving Break this morning to do a little review about parallelograms before getting started with the lesson.  This review exercise will be a helpful review tool for the end of the week in getting ready for the test.  The lesson today focused on the special properties of rectangles, rhombi, and squares.  We went over each shape quickly to point out some of its unique properties as parallelograms before getting the students started on their assignment.

Assignment:  section 5-4;  page 186-187;  CE  #1-10 all,  WE  #1-10 all

Chapter 5 Test coming up on Friday, Dec. 2

Geometry; 11/23

We went over our homework assignment together and answered any questions the students had.  We then spent the remainder of our shortened periods working on several different geometric problem solving puzzles using toothpicks!


Assignment:  none

Happy Thanksgiving!

Honors Geometry; 11/23

We returned the chapter 5 quiz today and went over any questions that the students might have had.  We then spent the remainder of our shortened periods working on several different geometric problem solving puzzles using toothpicks!


Assignment:  none

Happy Thanksgiving!

Geometry; 11/22

We continued our work with parallelograms today by taking a look at how to write parallelogram proofs.  We went through a few together, and found that they are really just triangle proofs that use the various properties of parallelograms.  We continued to work on the calculations of the properties of parallelograms as well with some various practice problems on the entry task and homework assignment.

Assignment:  parallelogram worksheet + page 169-170;  WE  16, 30, 32

Honors Geometry; 11/22

We answered a few questions together from our chapter 5 quiz review sheet to start class.  The students then turned in the review sheets and then took the ch. 5 quiz.


Assignment:  extra credit puzzle option

Geometry; 11/21

The students got back their chapter 4 test today and we went over any questions they had.  We then got started on our new unit which involves the study of quadrilaterals.  Today's lesson focused on the properties of parallelograms.  We went over 5 facts that can be used when working with parallelograms.  We went through a few sample calculation problems before the students got started on their assignment.


Assignment:  section 5-1;  page 169-170;  WE  #1-12 all, 17-24 all

Honors Geometry; 11/21

We continued working on parallelogram proofs today by going over a couple more together in class.  The method of finding congruent triangles first was used in each example, and the triangles were found to be congruent by using the various properties of parallelograms.

Our chapter 5 quiz (5.1 to 5.3) is tomorrow in class.


Assignment:  Chapter 5 Quiz review sheet


Chapter 5 Review Packet answer key

Lesson 5-1 practice worksheet

1.  both pairs of opposite angles congruent in parallelograms
2.  diagonals bisect in parallelograms
3.  both pairs of opposite sides congruent in parallelograms
4.  both pairs of opposite sides congruent in parallelograms

5.  WX = 15
6.  angle WXY = 110
7.  XP = 13
8.  WY = 36
9.  angle WXY = 105
10.  angle WZY = 120

11.  angle STP = 112
12.  angle PSR = 100
13.  angle PQR = 100
14.  angle PSQ = 25

15  QR = 19
16.  RS = 25
17.  x = 6
18.  angle P = 105
19.  x = 16
20.  x = 7

Two column proof

Statements                                                     Reasons
ABCD is parallelogram                                 given
P is midpoint of AB                                       given
Q is midpoint of DC                                      given
AP parallel to DQ                                          opp. sides of large parallelogram parallel
AP = 1/2 AB                                                  midpoint theorem
DQ = 1/2 DC                                                 midpoint theorem
AB = DC                                                       opp. sides of large parallelgram congruent
AP = DQ                                                       transitive
AP congruent DQ                                         def. of congruent
APDQ is parallelogram                                if one pair of sides is both parallel and
                                                                      congruent, then figure is parallelogram

Lesson 5-2 Practice worksheet

1.  yes;  both pairs of opposite sides are congruent
2.  yes;  both pairs of opposite sides are parallel
3.  yes;  one pair of opposite sides are both congruent and parallel
4.  no conclusion possible
5.  yes;  diagonals bisect each other
6.  yes;  both pairs of opposite sides are congruent
7.  yes;  both pairs of opposite angles are congruent

8.  x = 25;  y = 11
9.  x = 95;  y = 85

10.  AB = 4;  BC = 6;  CD = 4;  AD = 6
11.  AB = 7;  BC = 5;  CD = 7;  AD = 5

12.  two column proof

Statements                                                        Reasons
angle W and angle X are supp.                        given
angle X and angle Y are supp.                         given
angle Y and angle Z are supp.                          given
m angle W + m angle X = 180                     def. of supplementary
m angle X + m angle Y = 180                      def. of supplementary
m angle X + m angle Y = m angle X + m angle W      substitution
m angle Y = m angle W                                subraction prop. =
angle Y is congruent to angle W                   def. of congruence
m angle Y + m angle Z = 180                        def. of supplementary
m angle X + m angle Y = m angle Y + m angle Z     substitution
m angle X = m angle Z                                  subtraction prop. =
angle X is congruent to angle Z                    def. of congruence
WXYZ is parallelogram                               if both pairs of opp. angles are congruent,
                                                                     then figure is parallelogram

Theorems involving parallel lines practice worksheet   (odd problems only)

1.  true
2.  false
3.  true
4.  true
5.  x = 20, y = 10
6.  x = 5, y = 3
7.  15
8.  27
9.  6
10.  2a
11.  84
12.  70
13.  72
14.  7
15.  16
16.  6
17.  2

Practice 18:  Parallelograms

1.  4
2.  5
3.  120
4.  20
5.  3
6.  7
7.  105
8.  x = 10
9.  x = 6
10.  always
11.  always
12.  sometimes
13.  never
14.  x = 11,  y = 16
15.  x = 26,  y = 15
16.  x = 11, y = 4

Geometry; 11/18

We turned in our chapter 4 review sheets and entry task sheets before taking the chapter 4 test in class.


Assignment:  extra credit logic puzzle option

Honors Geometry; 11/18

We went over the homework last night, emphasizing the 4 proofs involving parallelograms.  We then went through today's lesson that focused on more theorems involving parallel lines.  We talked more about equidistance between parallel lines and how this can be used to solve various types of problems.  We also introduced the concept of a midsegment in a triangle and how the properties of midsegments can be used in working with parallel lines.  The students then got started on their assignment.


Assignment:  section 5-3;  page 180-181;  WE  #1-19 all

Geometry; 11/17

We spent some time reviewing vocabulary from chapter 4 today with a couple of overlapping proofs.  We also went over a couple of isosceles triangle calculations problems together.  The students spent the rest of the time working on their chapter 4 review sheet in preparation for the test tomorrow.


Assignment:  Chapter 4 review sheet

Chapter 4 Test tomorrow


Test 14 answer key

1.  segment SY
2.  angle Q
3.  triangle SQY
4.  a.  none     b.  none
5.  a.  triangle QRP congruent to triangle SRT    b.  SAS
6.  a.  triangle KLJ congruent to triangle NLM    b.  ASA
7.  a.  triangle ABC congruent to triangle DEC    b.  SAS
8.  a.  triangle FIG congruent to triangle HIG      b.  ASA
9.  a.  triangle OQR congruent to triangle QRP    b.  SSS
10. a.  none    b.  none
11.  after
12.  after
13.  before
14.  before
15.  before
16.  after
17.  after
18.  after


Test 15 answer key

1.  a.  segment QR       b.  segments PQ and PR
2.   a.  angle Y or angle Z
      b.  segment YZ
      c.  angle X
      d.  segment XY or segment XZ
3.  angle A,  angle 1
4.  angle 3,  angle C
5.  segment AB,  segment DB
6.  segment DC, segment BC
7.  7
8.  37.5
9.  a.  triangle ABC congruent to triangle DEC
     b.  HL
10.  a.  none     b.  none
11.  a.  triangle JKL congruent to triangle NML    b.  AAS
12.  a.  triangle PQR congruent to triangle PSR    b.  ASA

13.  Proof

      statements                                                                 reasons
AB parallel to DE;  angle B congruent to angle D          given
angle 1 congruent to angle 4                                           if lines parallel, then AIA congruent
AC congruent to AC                                                       reflexive
Tri. ABC congruent to Tri. CDA                                   AAS
AD congruent to BC                                                       CPCTC


Fill in the Blank Proof worksheet

1.  AB parallel to DC
                                                                                2.  if lines parallel, then AIA congruent
3.  angle B congruent to angle D
                                                                               4.  reflexive
                                                                               5.  AAS
6.  BC congruent to DA



1.  QK congruent to QA
                                                                               2.  given
3.  angle 1 congruent to angle 2
4.  QB congruent to QB
                                                                               5.  SAS
6.  KB congruent to AB                                         6.  CPCTC



1.  BD perp. to AB;  BD perp. to DE                     1.  given
                                                                                2.  def. of perpendicular
3.  angle B congruent to angle D                            3.  all right angles congruent
                                                                                4.  vertical angles congruent
                                                                                5.  given
6.  tri. ABC congruent to tri. EDC                          6.  AAS congruent theorem
7.  angle A congruent to angle E                             7.  CPCTC



1.  FJ congruent to GH                                          1.  given
2.
                                                                               3.  reflexive
4.  tri. JFH congruent to GHF                                4.  SAS congruence postulate
5.  FG congruent to JH                                           5.  CPCTC



                                                                               1.  given
2.  angle P and angle N are right angles      
3.  angle P congruent to angle N
4.  MN congruent to MP
5.  MO congruent to MO                                        5.  reflexive
6.  tri. MPO congruent to tri MNO                         6.  HL congruence theorem
7.  angle NOM congruent to angle POM                7.  CPCTC



1.  CN perp. to AB                                                1.  given
                                                                              2.  def. of perp.
3.  angle ANC congruent to angle BNC               3.  all right angles are congruent
4.  CN bisects angle ACB
5.  angle 1 congruent to angle 2                           5.  def. of bisect
6.  CN congruent to CN                                       6.  reflexive
7.  tri. ANC congruent to tri. BNC                      7.  ASA congruence postulate
8.  AC conguent to BC                                        8.  CPCTC
9.  tri. ABC is isosceles                                       9.  def. of isosceles triangle

Honors Geometry; 11/17

We continued our work with parallelograms today by going over how to prove that shapes are parallelograms.  We used the 5 facts from yesterday as well as adding one additional theorem today that can be used in parallelogram proofs.  We went over a few examples together before getting started on the homework assignment.


Assignment:  section 5-2;  page 173;  CE  #1-9;  p. 175;  WE  #14-16, 19-22;  p. 170;  WE #32

Geometry; 11/16

We wrapped up chapter 7 today by going over 3 different drawings of features of triangles.  We demonstrated what an altitude, median, and two types of bisectors are when drawn in a triangle.  We went through 3-4 examples of them before getting started on the homework assignment for the day.


Assignment:  section 4-5/4-6 worksheet  +  p. 155 ;  CE  1-7;  p. 156;  WE #1-4

Honors Geometry; 11/16

The students got back their chapter 4 test today and we went over any questions that they had.  We then started our next unit that will find us studying quadrilaterals.  Today's topic focused on parallelograms and the unique properties they possess because of their opposite sides being parallel.  We went through 3-4 theorems together before showing the students how to use these theorems to do a variety of calculation problems.


Assignment:  section 5-1;  page 169-170;  WE  #1-12, 17-28

Geometry; 11/15

We introduced the concept of how to work with 2 pairs of congruent triangles today.  Finding the key steps in a proof is a way to both shorten a proof and to work with two sets of triangles in the same problem.  We went through 3 of these examples together before the students tried a couple on their own.  They then got started on their assignment.


Assignment:  section 4-6;  page 148-149;  WE  #1-9

Honors Geometry; 11/15

We turned in our review assignments and entry tasks from chapter 4 today at the start of the period.  The remainder of the period was then spent taking the chapter 4 test.


Assignment:  finish proof packet for ch. 4;  due tomorrow
                      optional extra credit puzzle

Geometry; 11/14

We continued our work with congruent triangles today by taking a look at how to work with drawings that have overlapping triangles.  We now have 5 methods to choose from, so being able to decipher the drawings becomes more and more important.  We went through three examples of overlapping triangles in proofs together before the students got started on their assignment.


Assignment:  section 4-5;  page 142;  CE #1-11;  page 143-144;  WE  #1-7

Honors Geometry; 11/14

We went over our proof quiz from last week together today in preparation for the test tomorrow.  We also went over any questions that the students had on their chapter 4 review sheet.  The students then got to work on an additional review sheet in getting them ready for the test.  The chapter 4 proof packet will be due on Wednesday, Nov. 16.  Students were working on that in class today as well.


Assignment:  Chapter 4 Review #2    

Chapter 4 Test tomorrow


Review Sheet #2 answers

Test 15

1.  3
2.  163
3.  145
4.  triangle SNA congruent to triangle KAN;  AAS
5.  triangle SNE congruent to triangle KAE;  ASA
6.  none
7.  triangle SNA congruent to triangle KAN;  HL thm
8.  triangle SEN congruent to triangle KEA;  SAS
9.  none
10.  triangle SEN congruent to triangle KEA;  ASA
11.  132
12.  x = 10;  angle A = 96
13.            statements                                   reasons
      EP perp. SK                                         given
      SD perp. EK                                        given
      angle SPE and angle EOS rt. angle     def. of perpendicular
      angle SPE congruent to angle EOC    all rt. angles congruent
      SK congruent EK                                given
      angle PSE congr. angle DES               if isos. triangle, base angles congr.
      SE congr. SE                                       reflexive
      triangle SEP congr. to triangle ESD   AAS

Test 16

1.  false
2.  true
3.  false
4.  true
5.  true
6.  true
7.  yes
8.  no
9.  no
10.  drawings on diagram
11.  SR, ST
12.    a.  SSS
         b.  CPCTC
         c.  triangle SXP cong. to tri. SXT;  SAS
         d.  CPCTC
         e.  def. of midpoint
         f.  def. of median

Geometry; 11/10

We continued our work with triangle proofs today by going over the AAS theorem and the H-L theorem  (hypotenuse leg).  These two additional methods of proving triangles were demonstrated and practiced together before the students got started on their homework assignment.


Assignment:  CPCTC worksheet for proving triangles

Honors Geometry; 11/10

We spent some time this morning going over a couple of proofs from the proof packet.  We then took our chapter 4 proof quiz involving overlapping and pairs of triangles.  We will get this back on Monday and go over it to help us prepare for the test on Tuesday.


Assignment:  Chapter 4 Review worksheet


Chapter 4 Test:  Tuesday, Nov. 15

Geometry; 11/9

We continued on in our study of triangles today by going over how to work with isosceles triangles in both proofs and calculations.  We went over the definition and parts of the isosceles triangles before demonstrating both isosceles triangle proofs and some drawing calculations.  Use of the triangle sum theorem (angles add to 180 degrees) is what we will make use of quite often for these problems.  The students then got started on their homework.


Assignment:  Isosceles Triangle worksheet + section 4-4;  page 137;  WE  #1-10, 13

Honors Geometry; 11/9

Today's lesson focused on using the vocab words of median, bisector, and altitude in various types of proofs.  We went over two additional proofs together before the students kept working on their proof packet.  The suggested proofs for today were the #5-9.   There will be a short proof quiz tomorrow in class.


Assignment:  Proof Packet questions  #5-9

Geometry; 11/8

We turned in our review sheet today before taking the chapter 4 quiz.  The students had the period to work on the quiz.  An extra credit puzzle option was available after the quiz was completed.



Assignment:  extra credit puzzle option

Honors Geometry; 11/8

We continued our work with proofs today by taking a look at how 3 different vocabulary words factor into triangle proofs.  We went over the terms median, altitude, and bisector today.  Each one has a special application in our work with triangles and we will get more into their proof application tomorrow.  Today was just to familiarize the students with the terms and the drawings that go along with them.

Assignment:  section 4-7;  page 155;  CE  #1-7;  page 156-158;  WE  1-13, 20  (skip #6)

Geometry; 11/7

We got back our last proof check quiz today and went over it together.  We then spent some time reviewing some key concepts on the chapter 3 quiz tomorrow.  The bulk of the period was then spent working on the review sheet for the chapter 3 quiz.


Assignment:  Chapter 3 quiz review WS +  page 133;  #8

Honors Geometry; 11/7

We continued on with our study of congruent triangles today by going over how to work with 2 pairs of congruent triangles in drawings.  We illustrated a few of these types of problems and introduced the concept of just showing the key steps in a proof.  Both triangle pairs are necessary in order to solve the problem in each case, and there is a pattern to each problem that the students were able to see.


Assignment:  section 4-6;  page 148-150;  WE  #1-9, 11

Geometry; 11/4

We went over our proof quiz from yesterday and then took the last proof check quiz today in class.  After the quiz, the students got started on their assignment.


Assignment:  page 132-133;  Self-Test 1;  #1-7

Honors Geometry; 11/4

We went over the homework from last night and answered several questions before turning in the assignment.  We then spent the last 10-15 minutes of the shortened periods getting started on the chapter 4 proof packet.  We will be working on this throughout next week as well.


Assignment:  Proof Packet;  #1-4

Geometry; 11/3

We continued our work with triangle proofs today by taking a look at how to prove symbols and words using a two column proof.  We went over a couple of examples in class before taking our 3rd proof check quiz.  The students then got started on their assignment after the quiz.


Assignment:  section 4-3;  page 129;  CE  #1, 3, 5

Honors Geometry; 11/3

We continued our work with congruent triangle proofs today by taking a look at a few more drawing types in which the triangles overlap.  These diagrams include the AAS and HL theorem that we introduced yesterday, but can also involve any of the previous 3 that we have worked on.  After a few examples, the students got started on their assignment.


Assignment:  section 4-5;  page 143-145;  WE  #1-8; 11-14

Honors Geometry; 11/2

We continued our work with triangle proofs today by going over two more methods of proving triangles congruent.  The AAS method and the H-L method were the two that we introduced.  The AAS method is closely related to ASA, but it has a non-included side.  The Hypotenuse-Leg theorem only works with right triangles due to the relationship of the sides spelled out by the pythagorean theorem.  We went over a few proofs to illustrate these concepts before the students got started on their assignment.


Assignment:  section 4-5;  page 142;  CE  #1-13 all;  page 133;  #6, 7

Geometry; 11/1

We continued our work with congruent triangle proofs today by taking a look at a couple more proofs together as a group.  We used parallel lines and different vocabulary words in the proofs we worked on today.  The students then took a short practice quiz that we will be using to get used to what proof quizzes look like.  After doing these two proofs, the students then got started on their assignment.

Assignment:  section 4-2;  page 124-126;  WE  1-19 all

Honors Geometry; 11/1

We got the chapter 4 quiz back from yesterday!  Great scores, as the overall average of both classes was 88%!  16 students received scores of 100 or above!  Super job!   Our lesson today focused on continuing to work with triangle proofs and how to use isosceles triangles in those proofs.  We went over a couple new theorems about isosceles triangles and then demonstrated some calculation shortcuts that can be used when working with these types of triangles.  The students then got started on their homework.


Assignment:  section 4-4;  page 137-139;  WE  #1-10, 13-17, 23, 27

Geometry; 10/31

We got back the chapter 3 test today before getting started with the lesson.  Today's lesson focused on ways to prove triangles congruent.  We went over 3 of the methods today in class:  SSS, ASA, and SAS.  These postulates are ones that we will use quite a bit this chapter and will need to be recognized quickly in drawings and proofs.  We went over a few drawing recognition exercises together before the students got started on their homework.


Assignment:  Congruent triangle drawings packet +  1 proof on the screen

Honors Geometry; 10/31

We turned in the review assignment for the chapter 4 quiz to start off the period.  The students then spent the period taking the chapter 4 quiz.


Assignment:  Extra credit puzzle option

Geometry; 10/28

We started chapter 4 today dealing with congruent figures.  We went over some drawing recognition today as we start to build a foundation for what we will be working with later in the chapter.  The focus of the lesson centered on lining up corresponding parts of figures and using the correct order of letters to match them up.  There were also a couple of graphing exercises that were introduced as well.


Assignment:  section 4-1;  page 120;  WE  #1-19 all

Honors Geometry; 10/28

We continued working on triangle proofs today by going over our practice quiz from yesterday and taking another practice quiz today.  The students got answers to their questions on the review sheet, and got a final review assignment to prepare them for Monday's quiz.  The best way to study is to look over the collection of proofs that we have worked on and know the different ways to use the SSS, ASA, and SAS postulates.

Assignment:  CPCTC worksheet packet

Quiz on Chapter 4-1 to 4-3 on Monday, Oct. 31.


CPCTC answers

Example #1

         Statements                                                 Reasons
1.  segment FG cong. to seg. GH                        Given
2.  angle HGJ cong. to angle FJG                        Given
3.  seg. JG cong. to seg. JG                                 reflexive
4.  triangle FGJ cong. to tri. HJG                        SAS post.
5.  seg.  FG cong. to seg. JH                                CPCTC

Example #2

         Statements                                                 Reasons
1.  MP and ON bisect each other                       Given
2.  seg. OX cong. to seg. NX                             def. of bisect
3.  seg. MX cong. to seg. PX                              def. of bisect
4.  angle 1 cong. to angle 2                                vert. angles cong.
5.  triangle MNX cong. tri. POX                       SAS post
5.  angle N cong. to angle O                                CPCTC

Classwork problems

#1
         Statements                                                 Reasons
1.  segment RV cong. to seg. VT                        Given
2.  angle R cong. to angle V                               Given
3.  angle 1 cong. to angle 2                                 vertical angles congruent
4.  triangle STR cong. to tri. WTV                        ASA post.
5.  seg.  ST cong. to seg. WT                                CPCTC

#2
         Statements                                                 Reasons
1.  segment BC cong. to seg. AD                        Given
2.  segment AC cong. to seg BD                       Given
3.  seg. DC cong. to seg. DC                              reflexive
4.  triangle DBC cong. to tri. CAD                    SSS post.
5.  angle BCD cong. to angle ADC                   CPCTC

#3

         Statements                                                 Reasons
1.  R is midpoint of PQ and ST                          Given
2.  segment ST cong. to seg. TR                       def. of midpoint
3.  seg. PR cong. to seg. QR                              def. of midpoint
3.  angle 1 cong. to angle 2                               vert. angles congruent
4.  triangle SRP cong. to tri. TRQ                       SAS post.
5.  angle P cong. to angle Q                               CPCTC

#4

         Statements                                                 Reasons
1.  SQ is perp. bisector of PR                             Given
2.  angle 1 and angle 2 are rt. angles                   def. of perpendicular
3.  angle 1 congruent to angle 2                          all right angles congruent
4.  seg. PQ cong. to seg. RQ                               def. of bisector
5.  seg. SQ cong. to seg. SQ                                reflexive
6.  triangle PQS cong. to tri. RQS                        SAS post.
5.  seg.  PS cong. to seg. RS                                CPCTC

#6

         Statements                                                 Reasons
1.  BD perp. to AB                                              Given
2.  BD perp. to DE                                               given
3.  angle B and  angle D are rt. angles                 def. of perpendicular
4.  angle B cong. to angle D                                 all right angles cong.
5.  seg. BC cong. to CD                                       given
6.  angle 1 cong. to angle 2                                  vertical angles
7.  triangle ABC cong. to tri. EDC                       ASA post.
8.  seg.  AC cong. to seg. EC                                CPCTC

Congruent Triangles Drawings

1.  triangle BIG congruent to triangle FAJ;  SAS
2.  none
3.  none
4.  triangle FLP congruent to triangle VOR;  SSS
5.  triangle HOT congruent to triangle DYA;  SAS
6.  triangle CLD congruent to triangle GNH;  ASA
7.  triangle CAT congruent to triangle MSE;  ASA
8.  none
9.  none
10.  none
11.  triangle QUD congruent to triangle ADU;  ASA
12.  triangle PAT congruent to triangle TYP;  SAS

Geometry; 10/27

We turned in our review sheets and entry tasks for chapter 3 today and then took the chapter 3 test in class.


Assignment:  extra credit puzzle optional

Honors Geometry; 10/27

We continued to work on how to use congruent triangles to solve various types of proofs.  We went through two more examples today before having the students take a short practice quiz.  They will get this back tomorrow and we will go over their review sheets then.


Assignment:  Chapter 3 quiz review sheet + page 133;  #8

Geometry; 10/26

We spent some time at the beginning of the period answering any questions from the review sheets.  We then went over a couple more proofs before getting started on the angle review puzzle.  We worked on this and a parallel line review in class and compared answers before we left.  The chapter 3 test is tomorrow and we will turn the review sheets in then.


Assignment:  Angle properties review + proofs review


Answers appear below.

Angle Properties Review:

1.  80
2.  60
3.  120
4.  140
5.  120
6.  120
7.  140
8.  80
9.  70
10.  40
11.  70
12.  70
13.  80
14.  80
15.  40
16.  120
17.  60
18.  100
19.  100
20.  140

Parallel Lines Review

1.  lines l and t
2.  lines j and k
3.  lines l and t
4.  lines j and k
5.  lines l and t
6.  none
7.  lines j and k
8.  lines j and k
9.  none
10.  lines l and t

Proof review sheet

8.  Statements                                      Reasons

AB parallel to EC;                            given

BC parallel to EF                              given

angle 7 congruent to angle 5            if line parallel, corr. angles congr.

angle 5 congruent to angle 4            if lines parallel, AIA congruent

angle 7 congruent to angle 4            substitution

9.

          Statements                                   Reasons

line g parallel to line h                           given

angle 1 congruent to angle 2                  given

angle 1 congruent to angle 3                 if lines parallel, corr. angles congruent

angle 2 congruent to angle 3                 substitution

line p parallel to line r                           if AEA congruent, then lines parallel

11.  

        Statements                                    Reasons

line g parallel to line h                          given

angle 1 and 4 are supplementary          given

angle 1 + angle 4 = 180                        def. of supplementary

angle 1 = angle 2                                  if lines parallel, AIA are congruent

angle 2 + angle 4 = 180                        substitution

angle 2 and 4 are supplementary          def. of supplementary

line p parallel to line r                          if SSI angles are supp., then lines parallel

Honors Geometry; 10/26

We continued our work with triangle proofs today by showing how to use congruent triangles to prove other things.  The other things involved corresponding parts and/or parallel lines.  We went over 3 proofs together today before the students got started on their own work.  We will take some practice quizzes the next two days in preparation for our chapter 4 quiz on Monday, Oct. 31.

Assignment:  section 4-3;  page 130-131;  WE  1-9 all

Geometry; 10/25

We started our review of chapter 3 today by going over a few proofs together in class.  Parallel line proofs will be what is on the test, so the students got a chance to practice some on their own.  We will go over another one tomorrow before doing the 2nd part of our review.


Assignment:  Chapter 3 review sheet

Honors Geometry; 10/25

We continued our work with congruent triangles today by taking a look at the first of the congruent triangle postulates.  We covered the SSS, ASA, and SAS postulates today by going over several diagrams and a few short proofs.  The students then got started on their homework assignment.


Assignment:  section 4-2;  page 124-126;  WE  #1-20 all

Geometry; 10/21

We revisited our inductive reasoning project today by taking a look at how to determine the angles in a polygon.  We went over how to calculate both interior and exterior angle sums, as well as using the formula that we derived during our project last week.  We went through a few examples together before the students got started on their assignment.


Assignment:  section 3-5;  page 104-105;  WE  1-16  (skip #7), 21

Geometry; 10/24

We continued our work with inductive reasoning by going over a wider variety of problems than we had introduced last week.  We pointed out the difference between inductive and deductive, as well as introducing the vocabulary term "conjecture."  We went through a few word problems together in addition to the number and shape problems that we had introduced last week.  The students then got started on their homework.


Assignment:  Inductive reasoning worksheet +  page 107;  CE 1-5;  p. 107-108;  WE  1-9, 15-17

Geometry; 10/21

We revisited our inductive reasoning project today by taking a look at how to determine the angles in a polygon.  We went over how to calculate both interior and exterior angle sums, as well as using the formula that we derived during our project last week.  We went through a few examples together before the students got started on their assignment.


Assignment:  section 3-5;  page 104-105;  WE  1-16  (skip #7), 21

Honors Geometry; 10/24

We got back our chapter 3 tests today in class and the students had a chance to go over them.  We then started the next chapter that deals with congruent triangles.  Our lesson today centered on how to determine if figures are congruent, and then if they are, then we learned how to write congruence statements.  We did this with drawings that were provided as well as drawings that were graphed.  We went over 3-4 examples together before the students got started on their homework.


Assignment:  section 4-1;  page 120-121;  WE  #1-21 all

Honors Geometry; 10/21

We turned in our review sheets today before taking the chapter 3 test in class.  The student had the period to work on the test.

Assignment:  extra credit puzzle option

Geometry; 10/20

We continued working with triangles today by demonstrating how to evaluate drawings with multiple overlapping triangles.  We went through the shortcut of exterior angles being the sum of the remote interior angles as well.  There were 4-5 sample problems the students tried on their own in the lesson before getting started on their assignment.


Assignment:  section 3-4;  page 96;  CE 9-11;  page 97-99;  WE  1-17, 19, 26, 30

Honors Geometry; 10/20

We spent the first part of the period working through any questions that the students had on their review sheet.  We also had an entry task that involved writing one more proof before the test.  The students then got to work on an angle review puzzle that will be turned in tomorrow.

Assignment:  Angle review puzzle

Chapter 3 Test tomorrow


Angle Properties Review:

1.  80
2.  60
3.  120
4.  140
5.  120
6.  120
7.  140
8.  80
9.  70
10.  40
11.  70
12.  70
13.  80
14.  80
15.  40
16.  120
17.  60
18.  100
19.  100
20.  140

Parallel Lines Review

1.  lines l and t
2.  lines j and k
3.  lines l and t
4.  lines j and k
5.  lines l and t
6.  none
7.  lines j and k
8.  lines j and k
9.  none
10.  lines l and t

Practice 9

1.  AIA
2.  Corresponding
3.  SSI
4.  Corresponding
5.  angles 3, 6, and 7
6.  angles 5, 8, 4, and 1
7.  35
8.  55
9.  sometimes
10.  sometimes
11.  never
12.  sometimes
13.  always
14.  always
15.  BE and CF
16.  CE and DF
17.  AD and EF
18.  BE and CF
19.  none
20.  BE and CF;  AD and EF

Practice 10

1.  drawing
2.  drawing
3.  not possible
4.  drawing
5.  40, 50, 90
6.  40
7.  360
8.  9
9.  x = 110, y = 140
10.  a = 55,  b = 80
11.  m = 60,  n = 90
12.  1st row:    6       8       12       8       24
       2nd row:  60     45      30      20      15
       3rd row:  120   135   150     160    165

Geometry; 10/19

Today's class focused on two things.  We finalized the rules for our polygon project.  We went over these together from the data we had collected.  The second focus was on a quick introduction to working with types of triangles (various vocabulary words) and also calculations with triangles.  Students used the work time today to either finish up their project calculations or get started on the triangle assignment for tonight.


Assignment:  classifying triangles packet

Honors Geometry; 10/19

We reviewed our final two parallel line proofs today in class before getting to work on a chapter 3 review sheet.  The bulk of the period was spent working on the review sheet in pairs.


Assignment:  Chapter 3 review sheet

Geometry; 10/18

We continued working on the inductive reasoning project that we started yesterday.  The goal of today was to use our data to plot two lines of best fit and then to be able to use those lines to come up with a rule for angles in polygons.  We worked with both the slope and point-slope line equations to fill out the calculation portion of the packet.

Assignment:  finish all the calculations in the inductive reasoning packet that you didn't finish in class.  This is due tomorrow.

Honors Geometry; 10/18

We reviewed some topics on the angles in polygons today before going on to our next lesson of inductive reasoning.  We had touched on this earlier last week with our work with polygons and the patterns of angles in them.  We further discussed how to do number problems, word problems, and drawing problems today by distinguishing between inductive and deductive reasoning.  The students got started on their homework during the last portion of the period.


Assignment:  Inductive reasoning worksheet +  page 107, CE #1-5;  page 107-108;  WE #1-17

Geometry; 10/17

The students got back their chapter 3 quizzes today and then we started on the 2nd half of the chapter.  Today's lesson focused on using inductive reasoning to determine the pattern that exists between different polygons.  The goal today was to generate a table of numbers that we could use to discover a pattern in the angles of a polygon.  We will work to graph these values tomorrow and answer some more calculation problems to determine a rule that we can use.

Assignment:  none

Honors Geometry; 10/17

We continued working with triangles today by expanding our study to all polygons.  We went over the two rules that were generated last week in our inductive reasoning project by looking at the interior and exterior angles of a polygon.  We went through 4-5 examples of these types of problems before the students got started on their assignment.


Assignment:  section 3-5;  page 103;  CE #1-6;  page 104-105;  WE   #1-17  (skip #7), 21, 22

Geometry; 10/14

We turned in our chapter 3 quiz review sheet to start off the period and then the students got started on their chapter 3 quiz.  They had the period to work on it.

Assignment:  extra credit puzzle option

Honors Geometry; 10/14

We turned in our Inductive Reasoning Project today and then started on the next topic:  working with the interior and exterior angles of triangles.  We went over several vocabulary words today in terms of the way triangles are classified, as well as demonstrating how to do some calculation type problems involving triangles.  The students then got started on the assignment.


Assignment:  section 3-4;  page 97-99;  WE  1-24, 26, 28, 30

Geometry; 10/13

Today's class was spent reviewing for the chapter 3 quiz tomorrow.  We went over a couple of proofs and some questions involving calculations with parallel lines.  We also reviewed the meaning of several vocab words and how they relate to parallel lines.  The rest of the period was spent working on the review assignment.  The answers to the review assignment appear below.

Assignment:  Chapter 3 quiz review WS

Chapter 3 quiz tomorrow



Properties of Parallel Lines

1.  If 2 parallel planes are cut by a third plane, then the lines of intersection are parallel.
2.  If a line is perpendicular to one of 2 parallel lines, then it is perpendicular to the other also.
3.  AIA
4.  corresponding
5.  SSI angles
6.  none
7.  angles 1, 13, and 15
8.  angles 2, 4, and 6
9.  angles 1, 3, 5, 7, 11, 13, 15
10.  angles 2, 4, 6, 8, 10, 12, 14, 16
11.  angle 11 = 55;  angle 15 = 55
12.  angle 4 = y;  angle 3 = 180 - y
13.  x = 70;  y = 90
14.  x = 15;  y = 40

Proving Lines Parallel

1.  GA parallel to EC
2.  GE parallel to AD
3.  GB parallel to ED
4.  none
5.  GB parallel to ED
6.  GB parallel to ED
7.  AD parallel to GE
8.  GB parallel to ED
9.  GE parallel to AD
10.  x = 9;  y = 22
11.  x = 21;  y = 17
12.                     proof

             1.                                                        1.  Given
             2.                                                        2.  def. of angle bisector
             3.   angle 1 congruent to angle 2        3.
             4.                                                        4.  transitive / substitution
             5.                                                        5.  If AIA congruent, then lines parallel


Angle calculation problems

19.  x = 4
20.  x = 7
21.  x = 8
22.  x = -7
23.  x = 9
24.  x = 5
25.  x = -6;  angles = 90
26.  x = 4;  angles = 85, 95
27.  x = 10;  angles = 60
28.  x = -9;  angles = 80, 100

Honors Geometry; 10/13

We continued working on our inductive reasoning project today in class.  The students worked to finish up their graphs and then answer the calculation questions.

Assignment:  finish Inductive Reasoning Project;  due tomorrow

Geometry; 10/12

We continued our work with parallel lines today by going over ways in which to prove lines are parallel.  We demonstrated a couple of proofs together using corr. angles, AIA angles, and SSI angles.  We then worked on how to decipher drawings to determine if lines are parallel.  The students then got started on their homework to wrap up the period.


Assignment:  section 3-3;  page 87;  WE 1-19 all;   page 86;  CE  1-11 all

Honors Geometry; 10/12

We returned the chapter 3 quiz today and went over a few questions together on it.  We then started an inductive reasoning project that involves discovering some patterns in polygon angles.  We will discover the pattern, graph the results, and then determine the final rule that we can use as we move on through the latter half of the chapter.


Homework:  none!

Honors Geometry; 10/11

We collected our review sheets for the chapter 3 quiz today before taking the chapter 3 quiz in class.  The students had the period to work on the quiz.


Assignment:  extra credit puzzle option

Geometry; 10/10

We got our tests back today and then went over some homework questions as well.  We then continued working on parallel lines and the properties of the angles they involve.  The three theorems we introduced involved corresponding angles, alternate interior angles, and same side interior angles.  We went through a few different calculation problems with these ideas before getting started on the homework assignment.


Assignment:  parallel lines worksheet +  page 80-81;  WE  1-9

Honors Geometry; 10/10

We went over the parallel line proofs worksheet today to start class.  There will be a couple of proofs on the quiz tomorrow.  We then spent some time reviewing a few key concepts from the first part of the chapter before getting started on the review assignment.

Assignment:  Chapter 3 quiz review sheet


Properties of Parallel Lines

1.  If 2 parallel planes are cut by a third plane, then the lines of intersection are parallel.
2.  If a line is perpendicular to one of 2 parallel lines, then it is perpendicular to the other also.
3.  AIA
4.  corresponding
5.  SSI angles
6.  none
7.  angles 1, 13, and 15
8.  angles 2, 4, and 6
9.  angles 1, 3, 5, 7, 11, 13, 15
10.  angles 2, 4, 6, 8, 10, 12, 14, 16
11.  angle 11 = 55;  angle 15 = 55
12.  angle 4 = y;  angle 3 = 180 - y
13.  x = 70;  y = 90
14.  x = 15;  y = 40

Proving Lines Parallel

1.  GA parallel to EC
2.  GE parallel to AD
3.  GB parallel to ED
4.  none
5.  GB parallel to ED
6.  GB parallel to ED
7.  AD parallel to GE
8.  GB parallel to ED
9.  GE parallel to AD
10.  x = 9;  y = 22
11.  x = 21;  y = 17
12.                     proof

             1.                                                        1.  Given
             2.                                                        2.  def. of angle bisector
             3.   angle 1 congruent to angle 2        3.
             4.                                                        4.  transitive / substitution
             5.                                                        5.  If AIA congruent, then lines parallel

Geometry; 10/7

We began chapter 3 today by taking a look at some of the figures and vocabulary words that go along with parallel lines.  The three types of angle pairs that we introduced were corresponding angles, alternate interior angles, and same side interior angles.  These angle pair types all need to be recognized from drawings, as we will be using these angles in various types of proofs and calculations to come in this chapter.  The homework is largely getting used to identifying these types of angle pairs in drawings.


Assignment:  section 3-1;  page 75;  CE  #2-14 all;  page 76;  WE  #1-17 all

Honors Geometry; 10/7

We continued to work with parallel line proofs today by going over our homework and then starting a proof worksheet together.  We went over 2-3 as a group and then the students began working on the proof worksheet on their own.

Assignment:  Parallel Line proofs worksheet

Geometry; 10/6

We answered a few questions on the review sheet to start the period and then turned both the review sheet and the entry tasks for chapter 2 in.  The students then spent the rest of the period taking the chapter 2 test.

Assignment:  extra credit puzzle option

Honors Geometry; 10/6

We continued our work with parallel lines today by using the knowledge about angle pairs that we have been developing to prove that lines are parallel.  We went through a drawing recognition example, as well as a few sample proofs before the students got started on their assignment.


Assignment:  section 3-3;  page 87-88;  WE  #1-19, 23, 24, 29

Geometry; 10/5

We continued to work on proof writing today with two more examples of complete proofs.  After these, the students tried one on their own before getting started on the review sheet.  The last half of the period was spent working on the review sheet and getting feedback on how they were doing.  The answers to the review sheet will be posted on this sight later on this evening.


Assignment:  Chapter 2 Review Sheet

Chapter 2 Test is tomorrow


Answers to review sheet