Geometry; 12/16

We spent the first part of the period reviewing for the chapter 6 test tomorrow.  We went over 4-5 problem types together before we got started on the review sheet.  The review sheet is due tomorrow before we take the test.


Assignment:  Chapter 6 review sheet


Test 22

1.  A
2.  B
3.  D
4.  C
5.  no conclusion
6.  no conclusion
7.  Felp has no teeth
8.  Fang is not a beeble.
12.  =
13.  >
14.  <
15.  <
16.  =
17.  sometimes
18.  never
19.  always
20.  always

Inequalities for One Triangle

1.  yes
2.  yes
3.  no
4.  yes
5.  2 and 16
6.  0 and 30
7.  2x and 10x
8.  2 and 2k + 2
9.  angle 2
10.  angle 1
11.  angle 1
12.  segment AB
13.  segment DF
14.  segment GH
15.  c > a > b

Test 23

1.  angle B, angle A, angle C
2.  FE, DE, DF
3.  no
4.  yes
5.  no
6.  11, 41
7.  may be
8.  cannot be
9.  don't do
10.  AB
11.  DE
12.  HK
13.  angle 1
14.  angle 1
15.  angle 1
16.    D, B
17.  AB
18.  CA,  CB
19.  DC

Honors Geometry; 12/16

We worked through some final review and homework examples before getting started on the chapter 7 review in class.  The review is due tomorrow before we take the test on Chapter 7.


Assignment:  Chapter 7 review


Test 28

1.  5c2 / 7a2
2.  1/25
3.  2/9
4.  72
5.  2hs
6.  t + h / h
7.  g/s
8.  g/s  or  h/t
9.  10
10.  10
11.  4/3
12.  triangle DAC
13.  AA for similar triangles
14.  3:5
15.  AC,  AD,  CD
16.  15
17.  Proof
                           statements                                                 reasons
      AS perp. KT;  AS perp. SE                                       given
    angle K and angle S are rt. angles                               def. of perpendicular
   angle K congruent to angle S                                       all right angles congruent
  angle A congruent to angle A                                       reflexive
  triangle AKT similar to triangle ASE                          AA for similar triangles
  AK/AS = AT / AE                                                       corr. sides of sim. triangles are proportional
  AK / AT  =  AS / AE                                                   property of proportions

Test 27

1.  need CD = 10   or   DE = 2
2.  need AE parallel to BD or angle A congruent to angle B or angle E congruent to angle D
3.  BC, AE
4.  yes, by SSS similarity
5.  proportional lengths in triangles theorem
6.  a.  yes       b.  yes      c.  no      d. yes
7.  4
8.  12
9.  6.4
10.  12.5
11.  7.5
12.  60


Test 26

1.  yes
2.  yes
3.  no
4.  yes
5.  no
6.  SAS for similar triangles
7.  AA for similar triangles
8.  none
9.  none
10.  AA for similar triangles
11.  SSS for similar triangles
12.  Proof

        Statements                                                              Reasons
1.  angle 1 and angle 2 are complementary              Given
     angle 2 and angle 3 are complementary              Given
                                                                               2.  complements of same angle are congruent
                                                                             3.  reflexive
                                                                          4.  AA for similar triangles
                                                                       5.  corr. sides of similar triangles are proportional
                                                                   6.  property of proportions

Geometry; 12/15

We worked on inequalities between two triangles today by taking a look at the SAS and SSS Inequality theorems.  We went over several examples together before getting started on the assignment.


Assignment:  Inequality in 2 Triangles worksheet +  page 231;  WE  #1-8 all

Honors Geometry; 12/15

We wrapped up our study of similarity today by looking at how proportional lengths can be used to solve problems in a variety of types of figures.  From parallel lines to triangles to angle bisectors, we went through several different types of proportion problems together before getting started on the assignment.


Assignment:  Section 7-6;  page 272-273;  WE  #1-23 all;  skip 13, 14, 17-19

Geometry; 12/14

We continued our study of inequalities in geometry today by taking a look at the inequalities in one triangle.  We went through examples of how angles and side lengths are related and the calculations that can be used to determine the range of side lengths.  We did several examples together before getting started on our assignment.


Assignment:  triangle inequality worksheet +  page 222  WE  #7-12 all

Honors Geometry; 12/14

We continued our study of similar triangles today by taking a look at two more methods to prove triangles similar:  the SAS and the SSS theorems for similar triangles.  These methods involved looking at a few calculation examples and 2-3 proofs.  The students then got started on their assignment.


Assignment:  section 7-5;  page 264-265;  CE #1-6;  page 266-267;  WE  #1-10, 12, 13, 15, 16

Geometry; 12/11

We continued working with inequalities in geometry today by taking a look at inverses and contrapositives.  We reviewed the if...then statements that we had learned earlier in the year, and then added these two new terms into our study of geometry.


Assignment:  conditionals worksheet  (evens only) +  page 211,  WE 11-13

Honors Geometry; 12/11

The students got back their quiz today and we went over any questions they had together.  The lesson today focused on the AA postulate for similar triangles.  We did a couple of similarity proofs together, as well as some word problems involving similar triangles.


Assignment:  section 7-4;  page 257-259;  WE  1-19 all, 21, 24, 27

Geometry; 12/10

We started the next chapter today dealing with inequalities in geometry.  We went over how to work with algebraic inequalities and also what the properties of inequalities are in geometry.  We showed how to go through an inequality proof before the students got started on their assignment.


Assignment:  section 6-1;  page 205;  CE  #1-19 all;  page 206;  WE  #1-7 all

Honors Geometry; 12/10

We went over our review sheet today and then took the chapter 7 quiz in class.


Assignment:  extra credit puzzle option

Geometry; 12/9

We took the chapter 5 test on quadrilaterals and parallelograms in class today.  There was an extra credit puzzle option for the students to work on after the test.



Assignment:  extra credit puzzle option

Honors Geometry; 12/9

We went over our Chapter 6 test today in class.  We also answered any homework questions the students had in regards to their homework assignment on similar figures and scale factors.  The rest of the period was spent working on a review sheet in preparation for the chapter 7 quiz tomorrow.


Assignment:  Section 7-1 to 7-3 review sheet

Geometry; 12/8

We went over the homework from our trapezoids assignment before going through 3-4 review problems in preparation for the test tomorrow.  The students then used the rest of the period to work on their review sheet.  The answers to the review sheet appear in the space below.


Assignment:  Chapter 5 review sheet


Trapezoids

1.  16
2.  17
3.  4
4.  8
5.  2
6.  78
7.  angle DEF = 63 and angle D = 117
8.  angle B = 72 and angle C = 108
9.  EF = 13
10.  DC = 15
11.  angle A = 65, angle D = 115, angle C = 115
12.  angle B, angle CFE, angle DEF
13.  LM = 10,   GH = 15
14.  JK = 6, GH = 18
15.  x = 12
16.  LM = 24, JK = 12
17.  JK = 2x,   x = 1.2

Special Parallelograms

1.  T
2.  F
3.  F
4.  F
5.  F
6.  F
7.  rectangle
8.  rhombus
9.  rhombus
10.  square
11.  rhombus
12.  17
13.  15.5
14.  17
15.  angle TZW = 70,  angle WTZ = 40
16.  35
17.  90
18.  90
19.  55
20.  70
21.  110
22.  25
23.  9
24.  18
25.  LA = 13;  AO = 13
26.  LO = 17;  LS = 8.5
27.  angle ACO = 45;  angle CLA = 90

Honors Geometry; 12/8

We went over our assignment from yesterday before getting started into our lesson today which focused on what the term "similarity" means.  We went through several examples of what similar polygons look like and and how to solve problems using the ratios involved in similarity.  We took a look at what a scale factor is and how this factor can be used to calculate both sides and perimeters of two similar polygons.


Assignment:  section 7-3;  page 250-251;  WE  #1-27 all

Geometry; 12/7

We began our last section of the quadrilateral chapter today by taking a look at trapezoids and how they are constructed.  We went through the definition of the trapezoid and how to do a variety of calculations involving both base angles and the midsegments of trapezoids.  The students then got started on their assignment.


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

Honors Geometry; 12/7

We began our work on chapter 7 today by working through a review on ratios and proportions.  The lessons focused largely on algebra skills and how cross multiplication can be used to solve a variety of ratio and proportion problems.

Assignment:  section 7-1;  page 243-244;  WE  #1-31 odd
                        section 7-2;  page 247-248;  WE  #1-35 ;  skip every 3rd problem

Geometry; 12/4

We continued working on our special parallelogram properties of rectangles, rhombi, and squares.  We went over some true/false practice questions together and then demonstrated how to work through some calculation problems.  The students then got started on their assignment.


Assignment:  Special Parallelograms worksheet

Honors Geometry; 12/4

We turned in the chapter 6 review today before taking the chapter 6 test in class.


Assignment:  extra credit puzzle option

Geometry; 12/3

We continued our work with parallelograms today by going over the various properties of rectangles, rhombi, and squares.  There were several examples that we took a look at and used the information to further build up our quadrilateral chart from last week.  The students then got to work on their assignment for the day.


Assignment:  section 5-4;  page 186;  CE  #1-6, 8-10
                                            page 187;  WE  #1-12; 14-16

Honors Geometry; 12/3

We went over the homework today before going through 4-5 review questions in preparation for the test tomorrow.  After the review questions, the students then got started working on their review packet.

Assignment:  Chapter 6 Review packet

Chapter 6 Test tomorrow


Answer key:

Test 22

1.  true
2.  false
3.  false
4.  true
5.  false
6.  no
7.  yes
8.  no
9.   a.  If segment AB is not congruent to segment BC, then triangle ABC is not isosceles.
             False
      b.  If triangle ABC is not isosceles, then segment AB is not congruent to segment BC.
             True
10. a.   If a person is a gym teacher, then the person encourages sensible eating.
      b.  big circle representing sensible eating;  smaller circle inside larger circle representing gym teachers.
      c.  dot for Fran is located inside the smaller circle of gym teachers inside the larger circle.

Test 23

1.  a.  2      b.  16
2.  segment RS
3.  a.  G, E       b.  18
4.  angle N
5.  angle 1
6.  angle 2
7.  SSS inequality theorem
8.  DG is less than FG
9.  triangle DGF is not equilateral
10.    proof
                 Statements                                                Reasons
      ES is congruent to EP                                        Given
     m of angle S congruent to m angle EPS             base angle congruent in isos. triangles
    m angle EPS = m angle EPT + m angle TPS      angle addition postulate
    m angle EPS > m angle TPS                               property of inequality
    m angle S > m angle TPS                                    substitution
    TP > TS                                                               longer sides are opposite larger angles in triangles

Test 24

1.  false
2.  true
3.  true
4.  false
5.  true
6.   a.  If pts. X, Y, and Z are noncollinear, then XY + YZ does not = XZ
      b.  If XY + YZ does not = XZ, then pts. X, Y, and Z are noncollinear.
      c.  XY + YZ does not equal XZ
7.  <
8.  >
9.  >
10.  =
11.  <
12.   <   ,  >
13.  >
14.  =
15.  >
16.  angle L
17.  segment NO
18.  a.  HF       b.  SAS Inequality Theorem
19.  a.  FG       b.  triangle inequality theorem
20.  a.  HF       b.  longer side is opposite the larger angle in triangles
21.       fill in proof.
      1.                                                         1.  ext. angle is greater than either remote interior angle
      2.  segment DC congruent to segment BC       2.
      3.                                                         3.  base angles are congruent in isosceles triangles
      4.  m angle 1 > m angle BDC             4.  substitution property

Geometry; 12/2

Today we were on a two hour delay schedule due to snow overnight.  After turning in their review sheet, the students then got started on their Chapter 5 quiz today in class.  There was an extra credit puzzle option after the quiz if students chose to take it.


Assignment:  none

Honors Geometry; 12/2

We had a two hour delay today so worked on a shortened lesson.  The topic today focused on how to work with inequalities between two triangles.  The SAS and SSS Inequality Theorems were shown and discussed in the context of drawings and proofs.  Both of these theorems are versions of what is called the Hinge Theorem.

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

Geometry; 12/1

Welcome to December!  We went over our homework together before taking a look at a few examples of parallelogram proofs in preparation for the quiz tomorrow.  We also went through 2-3 examples of how to solve for 2 variables at once by using the elimination of a variable in a system of equations.  The students then got started on their review sheet.

Assignment:  Chapter 5 Quiz review sheet;   only do the odd numbered problems.


Answers to review sheet;

page 1.

1.  x = 8;  y = 10; z = 10
3.  x = 20
5.  x = 31
7.  x = 60;  y = 140
9.  x = 50

Page 2

1.  true
3.  true
5.  x = 20;  y = 10
7.  15
9.  6
11.  84
13.  72
15.  16
17.  2

Page 3

1.  yes, both diagonals bisect
2.  no, only one pair of sides are parallel
3.  no,  one pair of sides is not parallel
4.  yes;  one pair of sides is both congruent and parallel
5.  yes;  both pairs of opposite angles are congruent
6.  no;  only one pair of sides congruent
7.  no;  only one pair of sides congruent
8.  yes;  both pairs of opposite sides are parallel
9.  x = 20;  y = 12
11.  x = 1
13.  x = 20
15.  x = 6
17.  x = 3
19.  x = 8

Page 4

21.  choice E
23.  choice A
25.  choice B or choice C
27.  plot points on graph
29.  choice C
31.  choice B or choice E

Honors Geometry; 12/1

We continued our work with inequalities in geometry today by going through the topic of inequalities in one triangle.  We took at look at the inequality relationships between sides and angles in one triangle, as well as the range of values that are possible in each triangle.  We went through several examples together of the Triangle Inequality Theorem before getting started on the homework assignment.


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

Geometry; 11/30

We started class today by explaining a scavenger hunt project that we will be working on over the next two and a half weeks.  The project is explained in a packet that I handed out with various examples and scoring standards.  The due date is Wednesday, Dec. 16.

Our lesson today focused on a few more theorems involving parallel lines that can be used when working with parallelograms.  We went over these three theorems and several examples that show how they are used in calculations.  The students then got started on their homework.

Assignment:  section 5-3;  page 180-181;  WE  #1-16 all;  page 182;  Self Test 1    #1-6 all


Our next quiz will take place this Wednesday over sections 5.1 to 5.3

Honors Geometry; 11/30

We reviewed the concept of properties of inequalities today with a short proof before going through a few examples of some new ways to deal with conditional statements.  Today's lesson focused on using the vocab words converse and contrapositive in a variety of different statements.  We also showed how Venn diagrams can be used to solve these new types of logic problems.


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

Geometry; 11/25

We went over our calculations with parallelograms worksheet today to begin the class.  We then spent the rest of the shortened period working on a geometric building activity using toothpicks.


Assignment:  none;    Happy Thanksgiving

Honors Geometry; 11/25

We went over our homework from section 6-1 today to begin the class.  We then spent the rest of the shortened period working on a geometric building activity using toothpicks.


Assignment:  none;    Happy Thanksgiving

Geometry; 11/24

We continued our work with parallelogram proofs today by going over two more examples together and then working through a calculation problem involving all 5 properties of parallelograms that we have studied.  The students then got started on their assignment.


Assignment:  Parallelogram Calculations worksheet

Honors Geometry; 11/24

We returned the chapter 5 test today and began our study of chapter 6.  The topic today involved an introduction to inequalities in triangles.  We went through some examples of how inequalities are used in algebra, and how they can be applied to geometric drawings as well.  The use of these properties of inequalities was demonstrated through 3-4 diagrams before the students got their assignment.

Assignment:  section 6-1;  page 205;  CE  #1-16;  page 206;  WE  #1-8

Geometry; 11/23

We continued our work with parallelograms today by taking a look at how to prove parallelograms from various drawings.  We worked a couple more parallelogram proofs together and also added another property of parallelograms to our growing chart.  The additional property is that a parallelogram can also be found if one pair of opposite sides are both congruent and parallel.


Assignment:  Proving Parallelograms worksheet

Honors Geometry; 11/23

We turned in our chapter 5 review sheet today and then took the chapter 5 test in class.  An extra credit puzzle was also available after the test.


Assignment:  none

Geometry; 11/20

We started a new chapter today by talking about the properties of parallelograms.  We went over 4 different properties and how they are used in calculations before getting started with the homework assignment.


Assignment:  section 5-1;  p. 168;  CE  #3-8 all;  p. 169-170;  WE  #1-12 all,  17-21 all

Honors Geometry; 11/20

We went over the homework together and then completed our quadrilaterals chart by talking about the unique properties of kites today.  We then went over one more parallelogram proof together before getting started on the review sheet.  Chapter 5 Test will be on Monday, Nov. 23


Assignment:  Chapter 5 Review Sheet


Chapter 5 Review Sheet Answers

Practice 20

1.  true
2.  false
3.  false
4.  true
5.  false
6.  Q
7.  RQ
8.  7.5
9.  3.7
10.  trapezoid
11.  6
12.  x = 3 and DF = 18
13.  angle GFE = 92 and angle DEF = 88
14.  rectangle
15.  angle WXY is congruent to angle WZY
16.  WX is parallel to ZY or WZ is congruent to XY
17.  WX is parallel to ZY or WZ is congruent to XY
18.  ZP is congruent to PX
19.  Drawing the quadilateral and drawing in an auxiliary line between ZX to form two triangles is necessary to fully understand the proof.

                 Statements                                                               Reasons
angle XWZ congruent to angle XYZ                               given
WX parallel to ZY                                                            given
angle WXZ congruent to angle XZY                               if lines parallel, AIA congruent
ZX congruent to ZX                                                         reflexive
triangle XWZ congruent to triangle ZYX                        AAS
WX congruent ZY                                                            CPCTC
WXYZ is parallelogram                                                   If one pair of opp. sides are both
                                                                                        congruent and parallel, then quad,
                                                                                        is parallelogram

Quadrilaterals Sheet

1.  angle ABC = 92;  angle DAB = 88
2.  BE = 10
3.  x = 2
4.  x = 3
5.  AE = 13.4
6.  angle AED = 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 also midpoint of HG
11.  angle A;  DE = 13
12.  BE = 24
13.  trapezoid
14.  median
15.  isosceles trapezoid
16.  PA = 18
17.  angle A = 80;  angle TMN = 80
18.  rectangle
19.  rhombus
20.  isosceles trapezoid

Test 20 sheet

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
18.  a.  115      b.  65
19.  7

Geometry; 11/19

We turned in the chapter 4 review packet at the beginning of the period and then took the period to then take the chapter 4 test.

Assignment:  none;  extra credit puzzle option after the test

Honors Geometry; 11/19

We worked on another special type of quadrilateral today by focusing on trapezoids.  We went over how to work calculation problems with trapezoids and also how to work with isosceles trapezoids.  We went through several examples together before getting started on the homework.


Assignment:  section 5-5;  page 192-194;  WE  #1-27 all, 30, 32

Geometry; 11/18

We spent some time reviewing our diagrams and vocabulary from chapter 4 today with a classroom whiteboard activity.  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; 11/18

We continued working with special parallelograms today by showing how to take some calculations shortcuts as we worked problems with a rectangle, a rhombus, and a square.  We also went through a parallelogram proof showing how to use these different figures as well.


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

Geometry; 11/17

We went through the final section of chapter 4 today by taking a look at the meanings of 3 vocabulary words and their drawings:  medians, altitudes, and bisectors.  We went over a few different examples of how to draw these figures and some of the information that congruent triangles can provide us when working with them.


Assignment:  section 4-7;  page 155;  CE  #1-9;    +  section 4-6/4-7 worksheet

Honors Geometry; 11/17

We went over the chapter 5 quiz today to start the period.  We then went through a lesson the properties of some special cases of parallelograms.  The rectangle, the rhombus, and the square were all examined to see how their special properties fit into the larger overall picture of parallelograms and quadrilaterals.



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

Geometry; 11/16

The topic for today focused on how to work with two sets of congruent triangles within one proof.  We went through a couple of examples, and then did some streamlined examples of key steps to a proof in which not all the details are included in the writing of the proof.  The students then got started on their assignment.


Assignment:  section 4-6;  page 148-149;  WE  #1-8 all;    page 151;  Mixed Review Ex.  #1-10 all

Honors Geometry; 11/16

After turning in our review sheet, the students spent the period taking the chapter 5 quiz.  After the quiz, the students could work on an extra credit puzzle if they chose to.


Assignment:  extra credit puzzle

Geometry; 11/13

We went over 2 more overlapping triangle proofs together before the students got started on a proof worksheet that deals with all 5 types of triangle congruence methods.


Assignment:  CPCTC worksheet

Honors Geometry; 11/13

We worked through a couple of parallelogram proofs today before getting started on a review assignment dealing with sections 5-1 to 5-3.  This review packet will help the students prepare for the chapter 5 quiz on Monday.  The answers to the review will be posted later on this weekend.


Assignment:  Chapter 5 quiz review packet


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

1.  x = 6
2.  x = 7
3.  QS = 40
4.  PR = 12;  PS = 18
5.  RS = 7
6.  x = 10
7.  x = 5
8.   points C and A
9.  Points B and C
10.  points B and A
11.  YZ = 12
12.  MN = 10
13.  x = 25;  MN = 25;  YZ = 50
14.  angle XYZ = 40

Geometry; 11/12

We went over two more methods of how to prove triangles congruent today.  The AAS and the H-L methods were demonstrated today via a couple of proofs and several diagrams.  We also went over the first of several proofs that we will see that deal with overlapping triangles.


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

Honors Geometry; 11/12

We continued our work with chapter 5 today by going over 4 new theorems that involve parallel lines.  These theorems introduced multiple parallel lines and the segments that different transversals cut off.  We also demonstrated what a midsegment of a triangle is and how to work calculation problems using midsegments.


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

Geometry; 11/11

No school;  Veteran's Day Holiday

Honors Geometry; 11/11

No school;  Veteran's Day Holiday

Geometry; 11/10

We went over the answers to the chapter 4 quiz review sheet at the beginning of the period.  The students then spent the period completing the chapter 4 quiz.  After the quiz, the students then got started on their assignment.


Assignment:  page 132-133;  Self Test 1;  #1-8 all

Honors Geometry; 11/10

We continued working with parallelograms today by showing how to use the properties to prove that various quadrilaterals are parallelograms.  We showed 6 different methods to prove that quadrilaterals are parallelograms and began using them in parallelogram proofs.


Assignment:  section 4-2;  page 174-175;  WE  #1-10; 14-17;  19-22

Geometry; 11/9

We went over our last proof quiz today before reviewing for the quiz tomorrow.  We then went over 4-5 examples that seemed to be the most difficult from the practice quizzes last week.  The students then got started on their review sheet.


Assignment:  Section 4.1 to 4.4 review sheet

Quiz tomorrow

Honors Geometry; 11/9

We started chapter 5 today on quadrilaterals by talking about the properties of parallelograms.  There are 5 main properties that we will use throughout this chapter and we showed how they all stem from congruent triangles and sets of parallel lines.  We went through several examples together before the students got started on their assignment.


Assignment;  section 5-1;  page 169-170;  WE   #1-32;  skip every third problem

Geometry; 11/5

We went over both the homework and the proof check quiz to start the period.  Today's topic focused on the isosceles triangle theorem and how to work calculation problems involving isosceles triangles.  We went through 4-5 examples together before the students took another proof check quiz and got started on their assignment.


Assignment:  section 4-4;  page 137;  WE  #1-10

Honors Geometry; 11/5

The students turned in their chapter 4 review sheet today and then took the chapter 4 test.


Assignment:  extra credit puzzle option

Geometry; 11/4

We went over our first proof check quiz as well as the homework together to start the period.  We then took a look at how to incorporate vocabulary words into proofs.  The three proofs we went through today focused on how to prove vocabulary words at the end of the proof from the drawings provided.  The students then took their second proof check quiz before getting started on their assignment.


Assignment:  section 4-3;  page 129;  CE  #1, 2, 3, 5

Honors Geometry; 11/4

We continued our review today by answering questions from the first review sheet to begin the period.  We then went over 2-3 more proofs together from the proof packet before the students got started working on their 2nd review sheet.  The answers to that review sheet appear below.

Assignment:  Chapter 4 review sheet #2

Chapter 4 Test tomorrow



1.  triangle RPD
2.  angle Q;  angle R
3.  segment DE congruent to segment GH
     segment EF congruent to segment HK
     segment DF congruent to segment GK
4.  a.  vertical angles congruent      b.  SAS    c.  CPCTC
5.  a.  yes, ASA       b.  no
6.  3
7.  equiangular; equilateral
8.  median
9.  obtuse
10.  15
11.  if a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment.
12.  a.  angle ADB,  angle CDB
       b.  if a point is equidistant from the sides of an angle, then the point lies on the angle bisector of the angle.
13.  proof
                       Reasons                                         Statements
               RT is perp. to plane P                            given
           angle KTR and angle ZTR rt. angles         def. of perp.
               RK cong. RZ                                          given
               RT cong. RT                                          reflexive
            triangle RKT cong. triangle RZT             HL
              KT cong. ZT                                           CPCTC
           triangle KTZ is isosceles                           def. of isosceles triangle

14.  proof
                       Reasons                                       Statements
          YW is altitude of triangle XYZ                 given
           angle 1 and angle 2 are rt. angles              def. of altitude
           angle 1 cong. angle 2                                 all rt. angles cong.
           angle X cong. angle Z                                given
           YW cong. YW                                           reflexive
           triangle YXW cong. triangle YZW           AAS
           XW cong. ZW                                           CPCTC
           W is midpoint of XZ                                 def. of midpoint
           YW is a median of triangle XYZ              def. of median

15.  proof
                      Reasons                                       Statements
      PO is perpendicular bisect. of QR               Given
     PQ is congruent to PR                                 If pt. lies on perp. bisector of segment,
                                                                         then pt. is equidistant from the endpoints
                                                                         of the segment.
     angle Q congruent angle R                         if opp. sides are congruent, then
                                                                         base angles are congruent
     angle R congruent to angle 1                      vertical angles congruent
     angle Q congruent to angle 1                      transitive property

Geometry; 11/3

We continued working on congruent triangle proofs today with an extra step added on.  We went over how to use corresponding parts of congruent triangles in proofs today, using CPCTC as the abbreviation as the reason in the proof.   We then took the first of 4 proof check quizzes on triangle proofs.


Assignment:  section 4-3;  page 130;  WE  #1-4

Honors Geometry; 11/3

We went through the first of our review days today for the Chapter 4 test.  We answered questions and went through a couple of proofs together before starting work on a review sheet.


Assignment:  Chapter 4 Review Sheet #1


Proof Packet due on Monday, Nov. 9

Chapter 4 Test on Thursday, Nov. 5

Geometry; 11/2

After going over the homework, we continued working with triangle proofs today by showing 4-5 examples of how to do 2-column triangle proofs.  This will be an emphasis this week before our quiz on Thursday.  The students then got started on their assignments.


Assignment:     congruent triangle worksheet   +  page 126  WE  #17-19

Honors Geometry; 11/2

We spent time today going over the last section of chapter 4.  Today's lesson focused on three separate vocab words and how they relate to triangles.  We demonstrated together what a median is, what an altitude is, and how to work with both segment and angle bisectors in triangles.  We went over several examples together before the students got started on their assignment.


Assignment:  section 4-7;  page 155;  CE  #1-7;   page 156-158;  WE  #1-13, 20, 23, 24

Geometry; 10/30

We started our work with congruent triangle proofs today by taking a look at three different ways to prove triangles congruent.  We went over how to use the SSS, ASA, and SAS method of triangle proofs today and also showed the first examples of two column triangle proofs.  We will continue working on these next week as we move through the chapter.


Assignment:  section 4-2;  page 124-125;  WE  #1-16 all

Honors Geometry; 10/30

We continued with our work on triangles today by taking a look at pairs of congruent triangles.  We went over how to work with two pairs of triangles at the same time in order to solve problems.  In each case, one pair was solved first, and then part of the first pair was used in order to figure out the second set of triangles.  The phrase "key steps of a proof" was also introduced today in our work.

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

Geometry; 10/29

We started chapter 4 today by taking a look at congruent figures and their corresponding parts.  We went over several different examples of how to choose the corresponding parts of various figures.  We also went over some graphing examples of how to identify congruent figures that are plotted on the coordinate axes.


Assignment:  section 4-1;  page 199  CE  #1-16;  page 120;  WE  #1-19

Honors Geometry; 10/30

We continued our work with AAS and HL methods of getting triangles congruent today in class.  We went over 3-4 examples of proofs that deal with overlapping triangles as well.  The students then had a chance to work on their proof worksheet from earlier in the week and then get started on today's assignment.

Assignment:  section 4-5;  page 143-144;  WE  #1-8 all,  11-14 all

CPCTC worksheet due tomorrow

Geometry; 10/29

We turned in the chapter 3 review packet today at the beginning of the period.  We then spent the period taking the chapter 3 test.


Assignment:  extra credit puzzle option

Honors Geometry; 10/28

We introduced two more methods of proving triangles congruent today in class:   the AAS method and the H-L theorem.  We went over 3-4 examples of these methods before the students got started on their homework.  We will continue this lesson tomorrow.


Assignment:  section 4-5;  page 142;  CE  #1-13 all

Geometry; 10/27

We spent time going over the homework to begin the period today before reviewing for the test tomorrow.  We went through a couple of parallel line proofs as well as some calculation problems together before the students got started on their review sheet.


Assignment:  Chapter 3 review sheet


Test tomorrow on Chapter 3


Parallel Lines and Planes

1.  true
2.  true
3.  false
4.  angles 4, 5, and 8
5.  140
6.  20
7.  37
8.  If AIA are congruent, then lines parallel
9.  If lines parallel, then SSI angles are supplemental
10.  If corr. angles are congruent, then lines are parallel
11.  x= 155;  y = 25
12.  x = 18;  y = 18
13.  ext. angle = 36;  int. angle = 144
14.  15-sides;  int. angle = 156
15.  -64, 128

When Lines and Planes are Parallel   Practice 9

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

Supplementary Practice    Practice 10

1.  drawing        
2.  drawing
3.  not possible
4.  drawing of rhombus
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.  number of sides:  12, 18, 24
         exterior angle measures:  60, 45, 15
             interior angle measures:  120, 135, 150, 160

Honors Geometry; 10/27

We went over the chapter 4 quiz to start the period today before getting started with the lesson.  Today's focus was on how to use the isosceles triangle theorem in working through triangle proofs.  We did a couple of proofs together to show the different aspects of what the theorem is, and then we went through some basic calculations using isosceles triangles.  The students then got started on their homework.


Assignment:  section 4-4;  page 137-139;  WE  #1-10 all, 13-17 all, 20-30 evens

Geometry; 10/26

We covered the last section of the chapter today by talking about inductive reasoning and how it compares to the deductive reasoning that we have been using predominantly so far.  We went over both word problems and number pattern problems dealing with inductive reasoning before getting started on the assignment.


Assignment:  section 3-6;  page 107;  CE  #1-6;  page 107-108;  WE  #1-17 all;   Inductive/Deductive reasoning worksheet   (complete the ones we didn't do during our notes)

Honors Geometry; 10/26

We went over a few questions together on the chapter 4 quiz review packet before taking the quiz in class today.  the students were able to get started on a proof worksheet after the quiz that will be due on Friday of this week.


Assignment:  Chapter 4 quiz;   proof worksheet that will be due on Friday

Geometry; 10/23

Today was the 2nd day of how to work with angles in polygons.  We worked through the process of dealing with a few more shortcuts both from the formulas and with drawings that the students used to determine individual angles in polygons.


Assignment:  section 3-5;  page 1-3;  CE  #1-6;  page 104-105;  WE  #1-6 all,  8-16 all

Honors Geometry; 10/23

We went through two more CPCTC proofs together today, showing how to work with word definitions in proofs.  The students then got started on their review packet for the chapter 4 quiz on Monday.


Assignment:  Chapter 4.1 to 4.3 quiz review packet

Review Packet Answers

Some Ways to Prove Triangles Congruent

1.  angle U
2.  measure of angle D
3.  segment SU
4.  segment UN
5.  triangle NSU
6.  triangle EDR
7.  triangle FAN
8.  angle D;  CPCTC
9.  segment BA;  segment BF
10.  SAS
11.  ASA
12.  none
13.  none
14.  SSS
15.  ASA
16.             1.  Given
                  2.  vertical angles are congruent
                  3.  SAS


Using Congruent Triangles

1.                                          1.  given
                                             2.  vertical angles congruent
                                             3.  SAS
                                             4.  CPCTC

2.                                          1.  given
                                             2.  if lines parallel, then corr. angles congruent
                                             3.  ASA
                                             4.  CPCTC
                                             5.  if corr. angles congruent, then lines parallel

3.                                          1.  given
                                             2.  def. of midpoint
                                             3.  reflexive
                                             4.  SSS
                                             5.  CPCTC
                                             6.  def. of angle bisector


Practice 14:  Corresponding Parts in Congruence

1.  segment OP
2.  BI
3.  angle O
4.  measure of angle G
5.  triangle OTP
6.  triangle IGB
7.  sometimes
8.  always
9.  never
10.  SAS
11.  ASA
12.  none
13.  ASA
14.  none
15.  SAS
16.        
        1.  M is midpoint of XY                                  1.  given
        2.  XM congruent to YM                                 2.  def. of midpoint
        3.  ZM congruent to ZM                                  3.  reflexive
        4.  XZ congruent to YZ                                   4.  given
        5.  triangle XMA congruent to tri. YMZ         5.  SSS
        6.  angle XZM congruent angle YZM             6.  CPCTC
        7.  ray ZM bisects angle XZY                         7.  def. of angle bisector

Geometry; 10/22

We went into the next section today by studying both the interior and exterior angles of polygons.  We went over several examples of how to use two different formulas in working with the angles in polygons.

Assignment:  polygon worksheet

Honor's Geometry; 10/22

We continued our work with triangle proofs today by going over how to use congruent triangles to prove other facts.  The phrase CPCTC was introduced and demonstrated to the students as to how to use it.  We went through 4 proofs together before the students got started on their homework.


Assignment:  Section 4-3;  page 130-131;  WE  #1-10

Geometry; 10/21

We went over our homework together before working on some more angle identification, classification, and calculations in class.

Our first task was to take a drawing and to determine all the different values for the angles that are on the page.  We had to use knowledge of parallel lines and different angles pairs in order to do this.

The second task was to work on a packet of information that involved both classifying and calculating angles.  This was the assignment for the day.


Assignment:  Classifying Angles Packet

Honors Geometry; 10/21

We continued working on congruent figures today by demonstrating how to use three postulates to prove triangles congruent.  We went over how to use the SSS, the ASA, and the SAS postulates for congruent triangles.  We did 3-4 examples together before the students then got started on their assignment.


Assignment:  section 4-2;  page 124-126;  WE  #1-21 all

Geometry; 10/20

We reviewed the idea of how to construct proofs today by having the students try to write a complete 2 column proof on their own.  We went over this together as continued practice for the more complete proofs that are coming up in chapter 4.

Our lesson today focused on how to calculate angles in triangles, as well as how to classify triangles according to the length of their sides and the size of their angles.  We went over several examples together before the students got started on their assignment.


Assignment:  section 3-4;  page 96;  CE  #1-4, 9-11;  page 97  WE  #1-18 all

Honors Geometry; 10/20

We went over the test from yesterday to start class and answered any questions that the student had.  We then got started with chapter 4 and our study of triangles.  We opened the lesson with a discussion of how to determine if figures are congruent and what the phrase "congruent parts" refers to when it comes to various figures.  We went over a few examples together of congruent figures, as well as used some graphing skills to talk about congruency on the coordinate plane.


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

Geometry; 10/19

We turned in the chapter 3 review packet and then spent the period taking the chapter 3 quiz.  The students could work on an extra credit logic puzzle afterwards if they chose to.


Assignment:  extra credit option

Honors Geometry; 10/19

We turned in the chapter 3 review packet and then spent the period taking the chapter 3 test.  The students could work on an extra credit logic puzzle afterwards if they chose to.


Assignment:  extra credit option

Geometry; 10/16

We worked through an entry task calculation today dealing with parallel lines before going over our homework together.  We then reviewed three different parallel line proofs before getting started on the chapter 3 quiz review sheet.  The chapter 3 quiz is on Monday, Oct. 19.  The answers to the review sheet will be posted on this blog later in the weekend.


Assignment:  Chapter 3 Quiz review sheet

Calculations worksheet

1.  C     2.  E      3.  A      4.  D      5.  B     6.  F      7.  B      8.  A

9.  angle 3 = 97     angle 5 = 97
     angle 10 = 97    angle 7 = 83
     angle 9 = 83      angle 16 = 97

10.  x = 5      11.  x = 8      12.  x = 20

13.  x = 10     14.  x = 25     15.  x = 15

16.  x = 10     17.  x = 35      18.  y = 43

19.  a = 113     20.  b = 58


Properties of Parallel Lines worksheet

1 and 2:  skip
3.  AIA     4.  Corresponding angles     5.  SSI angles     6.  none
7.  angles 1, 13, 15
8.  angles 2, 4, 6
9.  angles 1, 3, 5, 7, 9, 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 worksheet

1.  GA parallel EC
2.  GE parallel AD
3.  GB parallel ED
4.  none
5.  GB parallel ED
6.  GB parallel ED
7.  AD parallel GE
8.  GB parallel ED
9.  GE parallel AD
10.  x = 9; y = 22
11.  x = 21;  y = 17
12.                                                                   1.  given
                                                                        2.  def. of angle bisector
           3.  angle 1 congruent to angle 2
                                                                        4.  transitive / substitution
                                                                        5.  If AIA congruent, then lines parallel
                           

Honors Geometry; 10/16

We spent time today going over the first review sheet from chapter 3 before going into today's lesson.  We went over one more parallel line proof together, as well as reviewing a series of angle diagrams that prove parallel lines.  The students then got started on their second review sheet in preparation for the chapter 3 test on Monday.

The answers to the 2nd review sheet will appear on this blog later in the weekend.


Assignment:  Chapter 3 Review Sheet #2


Chapter 12 Test continued.

20.  line r parallel to line s
21.  line r parallel to line s
22.  line l parallel to line m
23.  none
24.  exactly 1
25.  exactly 1
26.  x - y
27.  a.  15        b.  right
28.  If corresponding angles congruent, then lines parallel
29.  If SSI angles are supplemental, then lines parallel
30.                         Statements                                         Reasons
              AB perp. t ;  CD perp. t                                      Given
              AB parallel to CD                                         If 2 lines perp. to same line,
                                                                                     then lines are parallel
              angle 1 congruent to angle 3                        If lines parallel, corr. angles congruent
              angle 2 congruent to angle 3                        vertical angles congruent
              angle 1 congruent to angle 2                        transitive / substitution


Practice 9

1.  AIA
2.  Corresponding angles
3.  SSI angles
4.  Corresponding angles
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 parallel CF
16.  CE parallel DF
17.  AD parallel EF
18.  BE parallel CF
19.  none
20.  BE parallel CF;  AD parallel 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.   number of sides blanks:  12, 8, 24
        exterior angle blanks:  60, 45, 15
        interior angle blanks:  120, 135, 150, 160

Geometry; 10/15

We continued working with parallel lines and the angle pairs they create.  Today's lesson focused on how to prove that lines are parallel by considering the angles pairs that we have information about.  We went through several examples before the students got started on their homework.


Assignment:  Section 3-3;  page 86;  CE #1-11;  page 87;  WE  #1-17

Tomorrow is a review day and then Monday we will take our quiz on Chapter 3.

Honors Geometry; 10/15

We answered homework questions and then went over 2-3 more parallel line proofs together.  The students then got started on a chapter 3 review sheet in class.


Assignment:  Chapter 3 Review #1

Geometry; 10/14

We continued on with parallel lines today by going over our first parallel line proofs and some parallel line calculations.  We went through three major theorems that we use to do these calculations and showed several examples before getting started on the homework.


Assignment:  section 3-2;  page 80-81;  WE  #1-16 all, 18, 19

Honors Geometry; 10/14

We went over the homework and answered questions about polygons to start off the period.  We then went through a couple of parallel line proofs to illustrate more how to do them.  The remainder of the time we went through a lesson on how to tell the difference between inductive and deductive reasoning.  We went through several different examples using word problems and number patterns to illustrate the difference.  The students then got started on their assignment.


Assignment:  page 107;  CE  #1-5 all;   page 107-108;  WE  #1-25 all

Geometry; 10/13

We worked through a practice quiz question to start the period before going over some more specifics of how to deal with parallel lines, transversals, and the angle pairs they create.  We then spent the majority of the period working on an activity dealing with drawing different figures from the vocab words we have been introducing.  Students worked in pairs and went through many of the vocab words from this chapter so far.


Assignment:  section 3-1;  page 76-77;  WE  #1-17 all, 23-28 all

Honors Geometry; 10/13

We went over our homework assignment today that dealt with angles within triangles and covered several questions.  We then discussed the lesson on the angles within polygons.  We talked about how to name polygons, how to determine interior angles, and how to determine exterior angles.  The students then got started on their assignment.


Assignment:  section 3-5;  p. 104-105;  WE  #1-17 all, 21, 22   (skip #7)

Geometry; 10/9

We took the chapter 2 test today in class.

Honors Geometry; 10/9

We took the chapter 3 quiz today over sections 3.1 to 3.3 .  

Geometry; 10/12

We went over our chapter 2 test today before getting started on the next lesson.  Any retakes need to be taken this week if students choose to do so.  We then started the next chapter which deals with parallel lines.  The lesson today focused on some definitions of parallel, skew, and intersecting lines, as well as how to identify different angle pairs when a transversal crosses two lines.  We demonstrated with several examples together before the students got started on their homework assignment.


Assignment:  section 3-1;  page 75;  CE  #1-19 all

Honors Geometry; 10/12

The students got back their quiz today and we went over it together.  We then continued on with our work in chapter three by taking a look at the angles in triangles and the way in which triangles are classified.  We went through the triangle sum theorem using a parallel line proof and demonstrated a few quick calculation problems dealing with triangles.


Assignment:  section 3-4;  page 97-99;  #1-31;  skip every third problem

Geometry; 10/8

We spent some time reviewing key concepts together from chapter 2 as well as going over a couple more proofs.  The students then had time to work on their test review sheets in preparation for tomorrow's test.

Assignment:  Chapter 2 review sheet


Chapter 2 Review Sheet Answers

Deductive Reasoning

1.  a. they are right angles              b.  vertical angles are supplementary
     c.  If vertical angles are supplementary, then they are right angles.
2.  90
3.  22
4.  53
5.  DFE
6.  angle bisector theorem
7.  midpoint theorem
8.  multiplication property of equality
9.  If 2 lines form congruent adjacent angles, then lines are perpendicular
10.  If exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary
11.      1.  given
           2.  vertical angles congruent
           3.  transitive / substitution

Special Pairs of Angles

1.  54, 144                                                             2.  85, 175
3.  20, 110                                                             4.  61, 151
5.  40.8, 130.8                                                       6.  none, 12
7.  79, 169                                                             8.  90 - 2x,  180 - 2x
9.  angle VIE
10.  angle RIN
11.  angle RIV, RIE, or RIN
12.  48
13.  90
14.  40
15.  100
16.  60
17.  30
18.  50
19.  130
20.  120
21.  x = 44
22.  x = 23
23.  x = 24, 72, 18
24.  x = 29,  39, 51
25.  y = 26,  127, 53
26.  y = 35,  26,  154

Perpendicular Lines;  Planning a Proof

1.  90
2.  90
3.  35
4.  48
5.  If 2 lines are perpendicular, then they form congruent adjacent angles.
6.  def. of perpendicular lines
7.  def. of complementary angles
8.  def. of supplementary angles
9.  def. of perpendicular lines
10.  def. of right angle
11.  If two lines form congruent adjacent angles, then the lines are perpendicular
12.              1.  Given
                   2.  If the exterior sides of 2 adjacent angles are perpendicular, then the angles are comp.
     3.  angle 1 congruent to angle 4
                   4.  If two angles are complements of congruent angles, then the two angles are congruent.

Honors Geometry; 10/8

We worked through the final two reasons of how to prove lines parallel today by showing how to use perpendicular lines and a third parallel line.  We also went through a few more parallel line proofs so the students could get more practice together in preparation for the quiz tomorrow.  The students then got started working on their review assignment.


Assignment:  Section 3.1 to 3.3 review sheet


Answers to review sheet

Properties of Parallel Lines

1.  If 2 parallel planes are cut by a 3rd plane, then intersecting lines are parallel.
2.  If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
3.  alt. interior angles
4.  corresponding angles
5.  same side interior angles
6.  none
7.  angles 1, 13, 15
8.  angles 2, 4, 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 || EC
2.  GE || AD
3.  GB || ED
4.  none
5.  GB || ED
6.  GB || ED
7.  AD || GE
8.  GB || ED
9.  GE || AD
10.  x = 9;  y = 22
11.  x = 21, y = 17
12.    Statements                                                         Reasons
          3.  angle 1 congruent to angle 2                    1.  Given
                                                                                 2.  def. of angle bisector
                                                                                 3.  given
                                                                                 4.  transitive property
                                                                                 5.  if AIA congruent, then lines ||

Geometry; 10/7

We wrapped up the last section of the chapter today by talking some more about how to plan proofs and what the parts of a proof are.  We went over three more together in class before getting started on the assignment.  Part of the assignment is a proof review, and the students will work on the rest of the review packet tomorrow.  The test is coming up on Friday, Oct. 9.


Assignment:  proof worksheet  #1-4;  section 2-6;  p. 63;  WE  #1-14 all

Honors Geometry; 10/7

We continued our work with parallel lines, angle pairs, and proofs today.  The topic today focused on how to prove lines parallel from the angle information we possess.  We went through 3-4 examples together after answering homework questions and then the students got started on their assignment.



Assignment:  Section 3-3;  pg. 87-88;  WE  #1-23 all

Geometry; 10/5

The students got back their chapter 2 quiz today before we got started on the lesson.  We continued our work with vertical, supplemental, and complementary angles today by going over a couple more calculation problems in addition to 2 proofs of how to work with these types of angles.

The students got started on their assignment towards the end of the period.


Assignment:  angle pair worksheet  +  page 53, WE  22, 23

Honors Geometry; 10/5

We continued our work with angles formed by parallel lines today.  We went through several homework examples before getting started with a drawing activity that helped students work on their knowledge of the different types of angles associated with parallel lines.  The students worked on the activity much of the period before getting started on their assignment.


Assignment:  section 3-1;  page 76-77;  WE  1-6 all, 21, 23-39 odd, 40-42 all

Geometry; 10/2

Today's topic dealt with calculations involving complementary, supplementary, and vertical angles.  These angle pairs are used widely in geometry, and today was the first time we began using calculations to figure them out quickly.  We went through several examples together and then got started on the homework.


Assignment:  section 2-4;  page 52-53;  CE  #10-19 all;    WE  #1-21 all

Honors Geometry; 10/2

We went over the test today in class before getting started on the next chapter.  Our lesson today dealt with parallel lines, intersecting lines, and skew lines.  The transversal line was also introduced, as were the different types of angles that are formed when a transversal intersects two parallel lines.  We went through several drawings together to show vertical angles, corresponding angles, alternate interior angles, and same-side interior angles.


Assignment:  section 3-1;  page 75-77;  CE  #1-10 all, 15-19 all;   WE  #7-17 all, 24-38 even