Tuesday, October 31, 2017

Geometry; 10/31

Happy Halloween!   After the students turned in their chapter 3 reviews and entry tasks, they spent the rest of the period working on the chapter 3 test.


Assignment:  none;  extra credit option

Honors Geometry; 10/31

Happy Halloween!  We continued our work with triangle proofs today by going over our practice quiz from yesterday and then modeling another proof together.  The students then took their 2nd practice quiz in class before getting started on the assignment......more practice with proofs and diagrams of congruent triangles.    Chapter 4 quiz is tomorrow.


Assignment:  CPCTC review sheet

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



Monday, October 30, 2017

Geometry; 10/30

We spent some time today going over our chapter 3 review sheet in class.  The students then went through a chapter 3 review scavenger hunt to work on the various topics of chapter 3 one last time.  Once the students were done, they worked on an angle properties review sheet.


Assignment:  Angle Properties Review

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

Honors Geometry; 10/30

We continued to practice our triangle proofs skills together today in class.  We went over the homework and a couple more proofs together.  The students then took a practice proof quiz on their own and worked on the quiz review packet.  We'll get the practice quiz back tomorrow to go over and take another one to get ready for the chapter 4 quiz on Wednesday.


Assignment:  Chapter 4 quiz review

Friday, October 27, 2017

Geometry; 10/27

We spent today reviewing a few proofs involving parallel lines.  The rest of the time was spent getting started on the chapter 3 review packet.  The chapter 3 test is on Tuesday, Oct. 31, and we will go over the review together on Monday.


Assignment:  Chapter 3 review packet

Honors Geometry; 10/27

We continued our work with triangle proofs today by taking a look at how congruent triangles can be used to prove other things.  The concept of CPCTC was introduced and we went through a few more proofs together in order to see how triangle proofs are used to gain extra information about a drawing.  The students then got started on their assignment.

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

Thursday, October 26, 2017

Honors Geometry; 10/26

The topic today focused on how to prove 2 different triangles congruent.  We began working with different types of drawings that show to triangles, and illustrated how these drawings can be used to match up corresponding parts of triangles.  We went over 3 triangle postulates today ---  SSS, SAS, and ASA postulates for congruent triangles.  We will continue to work with these in various drawings and proofs over the rest of the chapter.


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

Geometry; 10/26

Our topic today was going over the concept of inductive reasoning.  We went over how to tell the difference between inductive and deductive reasoning, and how to use the patterns of inductive reasoning to predict the next terms in various number sequences.  We worked through a few word problems together as well before the students got started on their assignment.


Assignment:  section 3-6;  page 107-108;  CE 1-5;  WE 1-17
                            Self Test 2;  page 110;  #1-11

Wednesday, October 25, 2017

Geometry; 10/25

The topic today involved working with the angles in polygons.  We went over both interior and exterior angles and how to calculate them.  The big key was to determine if the value was a sum of angles or an individual angle.  We went over shortcuts for calculating both of these with 3-4 examples before getting started on the assignment.


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

Honors Geometry; 10/25

The students got back their chapter 3 tests today and had a chance to go over them, asking any questions they may have had.  We then got started with the next chapter;  working with congruent figures.  We introduced the concept of a congruence statement and how to determine corresponding parts of congruent triangles.  We also did some simple graphing to determine how congruent figures match up on the grid and how to write the congruence statements.


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

Tuesday, October 24, 2017

Geometry; 10/24

We continued our work with triangles today by taking a look at the triangle sum theorem and the exterior angles theorem.  Both of these can be used to solve a wide variety of triangle calculations that involve different drawings.  We went through 3 or 4 problem types together before getting started on the assignment.


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

Honors Geometry; 10/24

We turned in our ch. 3 reviews and entry tasks to begin the period.  The students then took the rest of the period to take the chapter 3 test.


Assignment:  none;  extra credit puzzle option

Monday, October 23, 2017

Geometry; 10/23

We wrapped up our inductive reasoning project today by taking a look at the overall rules that the graph and tables resulted in.  The next topic in our study of polygons was introduced after this as we went over the different ways to classify triangles either by sides or by angles.  We also began the process of calculating with several different types of triangle drawings.


Assignment:  Classifying Triangles worksheet

Honors Geometry; 10/23

We went over the chapter 3 review worksheet together before working through a drawing activity to review several vocabulary words.  We also went through one more parallel line proof together.  The students then got started on their 2nd chapter 3 review assignment.

Chapter 3 Test is tomorrow.


Assignment:  Chapter 3 Review #2

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

Practice 11

1.  sometimes
2.  always
3.  sometimes
4.  sometimes
5.  360
6.  90
7.  (n-2) 180
8.  90
9.  x = 17
10.  x = 60;  y = 70
11.  x = 120;  y = 60
12.  -4, 2, -1
13.  4, 16, 8
14.  angle A and angle B are acute
15.  none

Practice 12

1.  angle 8
2.  angle 6
3.  angle 5
4.  x = 9;  angle 1 = 134;  angle 5 = 134
5.  x = 15;  angle 3 = 137;  angle 6 = 43
6.  angle 8 = 45;  angle 6 = 45;  angle 5 = 135
7.  always
8.  sometimes
9.  always
10.  always
11.  sometimes
12.  inductive
13.  deductive
14.  24
15.  angle A = 75;  angle B = 56;  angle C = 49
16.  36

Friday, October 20, 2017

Geometry; 10/20

We continued to work on the inductive reasoning project that we started yesterday.  The students work today was focused on graphing their data and using information about the slope and equation of a line in order to find a pattern in the data they collected.  We demonstrated how to do this on some sample numbers before the students got to work on their own data.


Assignment:  Inductive Reasoning Project    (due Monday)

Honors Geometry; 10/20

This was the first of a couple review days for chapter 3.  We walked through a couple of parallel line proofs together after going over the homework.  The students then had the bulk of the time to work on their chapter 3 review materials.  The chapter 3 test is next week, Tuesday, Oct. 24.

Assignment:  Chapter 3 review sheet

Thursday, October 19, 2017

Geometry; 10/19

We got started on the 2nd half of the chapter today by starting work on an inductive reasoning project that deals with polygons.  We will be working on this over the next couple of days.  Today was focused on determining some patterns among the numbers involving the number of sides a polygon has and the sum of its interior and exterior angles.



Assignment:  Inductive Reasoning Project;  page 1 only

Honors Geometry; 10/19

We wrapped up chapter 3 today by taking a more specific look at inductive reasoning.  We went through several examples of number patterns and various described scenarios in which the students needed to decide which kind of reasoning - deductive or inductive - was being used to make decisions.  The students then got started on their assignment.


Assignment:  section 3-6;  page 107-108;  CE 1-5;  WE 1-17;   p. 110;  #1-15 all

Wednesday, October 18, 2017

Geometry; 10/18

The students turned in their chapter 3 quiz review sheets to start the period.  The rest of the period was spent taking the chapter 3 quiz.


Assignment:  none;  extra credit puzzle option

Honors Geometry; 10/18

We continued our work with polygons today by taking a look at other types of polygons  (not triangles).  We used our knowledge gained from the inductive reasoning project to work with both interior and exterior angles of polygons.  We went through a few practice examples together before getting started on the assignment.


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

Tuesday, October 17, 2017

Geometry; 10/17

We spent time today reviewing for our chapter 3 quiz tomorrow.  With partners, the students worked through 8-10 review problems together that are indicative of what they will see tomorrow on the quiz.  They also worked on a review sheet towards the end of the period that will help prepare them for the quiz.  The answers to the review sheet appear below.


Assignment:  Chapter 3 quiz review sheet


Properties of Parallel Lines

1.  skip
2.  skip
3.  AIA
4.  corresponding angles
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 steps
        1.                                                1.  given
        2.                                                 2.  def. of angle bisector
        3.  angle 1 congruent angle 2      3.
        4.                                                 4.  transitive / subst.
        5.                                                 5.  if AIA congruent, then lines parallel



Solving for x:

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


Proof #4

statements                                    reasons
l parallel to m                               given
angle 1 cong. angle 2                    given
angle 1 cong. angle 4                   if lines parallel, Corr. angles congruent
angle 2 cong. angle 4                   substitution.


Proof #5

statements                                     reasons
angle 1 cong. angle 2                    given
angle 2 cong. angle 4                    given
angle 1 cong. angle 4                    subst.
line l parallel to line m                 if corr. angles congruent, then lines parallel

Honors Geometry; 10/17

We spent a little time wrapping up the inductive reasoning project before going on to our lesson for today.  Today's topic centered on how to work with triangles with both words and calculations.  We went over several vocab words pertaining to the ways in which triangles are classified.  We then used the triangle sum theorem (all angles sum to 180) to determine a variety of calculation and drawing problems.  The students then got started on their homework.


Assignment:  section 3-4;  page 97-99;  WE 1-20, 26, 28, 30

Monday, October 16, 2017

Geometry; 10/16

We continued our work with parallel lines today by taking a look at how to prove lines parallel.  We use our three angle pairs to work through a variety of drawings in order to determine if lines were parallel or not.  The students then got started on their assignment.

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

Honors Geometry; 10/16

We continued working on our inductive reasoning project in class today.  The goal today was to graph the information and come up with some general rules from the slope and equation of the lines. 

Assignment:  Finish inductive reasoning project;  due tomorrow

Thursday, October 12, 2017

Geometry; 10/12

We continued to work on calculations involving parallel lines and pairs of angles.  We worked through how to handle more complex drawings today and also reviewed how to solve systems of equations.  We did three types of drawings together before getting started on the assignment.


Assignment:  section 3-2;  page 69;  algebra review #10-16;  pg. 81-82;  WE 11-20 all

Honors Geometry; 10/12

The students got back their quiz today and we went over a few of the questions together as a class.  We then began the inductive reasoning project in class that involves working with patterns of angles in polygons.  We will continue this project on Monday.


Assignment:  none

Geometry; 10/11

The lesson today focused on the properties of parallel lines.  These properties have to do with the angle pairs that parallel lines create.  We went over how the AIA are congruent, the corresponding angles are congruent, and the SSI angles are supplemental when lines are parallel.  We worked through a few calculation problems together involving drawings of parallel lines before getting started on the assignment.


Assignment:  parallel lines worksheet +  page 80-81;  WE 1-10

Honors Geometry; 10/11

We turned in the chapter 3 quiz reviews today and then took the chapter 3 quiz in class.


Assignment:  none;  extra credit puzzle

Tuesday, October 10, 2017

Geometry; 10/10

We started our next unit today by introducing several new vocab words that pertain to parallel lines.  We went over the terms skew and intersections, as well as introduced drawings of corresponding angles, alternate interior angles, and same side interior angles.  All of these angle pairs will be used throughout this chapter in working with parallel lines.


Assignment:  section 3-1;  page 75, CE #10-14 all;  page 76;  WE #1-17 all

Honors Geometry; 10/10

We spent time today in class going over any questions the students had on their parallel lines proofs worksheet.  We then worked through a partner activity involving 10 different review problems that seat partners worked on together.  The students got started on their chapt. 3 quiz review sheet at the end of the period.  Chapter 3 Quiz tomorrow.


Assignment:  Ch. 3 Quiz review



Properties of Parallel Lines

1.  skip
2.  skip
3.  AIA
4.  corresponding angles
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 steps
        1.                                                1.  given
        2.                                                 2.  def. of angle bisector
        3.  angle 1 congruent angle 2      3.
        4.                                                 4.  transitive / subst.
        5.                                                 5.  if AIA congruent, then lines parallel

When Lines are Parallel

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

Monday, October 9, 2017

Geometry; 10/9

We answered a few questions at the beginning of the period before the students turned in their chapter 2 entry tasks and reviews.  The rest of the period today was spent taking the chapter 2 test.


Assignment:  none;  extra credit puzzle option

Honors Geometry; 10/9

We continued our work with parallel line proofs today by going over a couple more together in class.  The students then got started on their assignment, which is a collection of 10 proofs that use different properties of parallel lines and the angle pairs they create.

Assignment:  Parallel Line Proofs worksheet

Friday, October 6, 2017

Geometry; 10/6

We spent some time reviewing the main topics of chapter 2 today with a few proofs and a collection of drawings.  The students then spent the rest of the time working on the chapter 2 review sheet.  The answers will be posted during the weekend so that it can be checked and used to study for the test.  Chapter 2 test is Monday.

Assignment:  Chapter 2 Review sheet


Answers to review sheet







Honors Geometry; 10/6

We continued working with parallel lines and special pairs of angles today.  The topic today was how to use angles to prove that lines are parallel.  We went over 3 different examples together and then showed how to evaluate drawings to find the correct set of parallel lines.  The students then got started on their homework.

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

Thursday, October 5, 2017

Geometry; 10/5

We continued to work with how to do geometric proofs today by going over a couple of samples together.  The students then went through a "pass the proof" activity that allowed them to get some more exposure to in working with proofs.  After seeing 8 different proofs together, the students then got started on their assignment. 

Assignment:  Proof Practice WS #1-20 + proofs #12, 14, 17

Honors Geometry; 10/5

We continued working with parallel lines today by going over the different properties that parallel lines present.  We discussed how corresponding angles are always congruent, AIA are always congruent, and SSI angles are always supplementary when lines are parallel.  We then worked through a few calculation problems together in how to set those kinds of scenarios up from various drawings.  The students then got started on their homework.


Assignment:  section 3-2;  page 80-82;  WE #1-21 all

Wednesday, October 4, 2017

Geometry; 10/4

We continued our work with proofs today by going over a few more examples of how to put together both columns in a two column proof.  We walked through 2 more together before getting started on the homework and working on some additional practice proofs.


Assignment:  page 62;  CE 10;  section 2-6;  page 63-64;  WE 1-15 all, 20

Honors Geometry; 10/4

The students got back their chapter 2 test today and had the chance to go over it and ask about any questions that they still found confusing.  We then introduced the next lesson as we got started working with parallel lines.  New vocab words were introduced and new angle pairs were also shown that we will be working with quite a bit in terms of parallel lines.  The students then worked on a drawing activity in pairs that they practice their old and new vocab.


Assignment:  section 3-1;  page 76-77;  WE 1-17;  22-29

Tuesday, October 3, 2017

Geometry; 10/3

We went through how to use perpendicular lines today in various proofs and calculations.  There are three perpendicular line theorems that we went through and modeled how to use these in various proofs.  The students also continued to practice working with supplementary, complementary, and vertical angle calculations.


Assignment:  section 2-5;  page 57;  CE 2-11 all;  page 58-59;  WE 1-16 all

Honors Geometry; 10/3

The students turned in their chapter 2 reviews today before taking the chapter 2 test.  The test took the entirety of the period.

Assignment:  none;  extra credit puzzle option

Monday, October 2, 2017

Geometry; 10/2

We continued our work with types of angles today by going over the next level of calculation problems together.  We took word problems and wrote equations from them using our knowledge of supplementary and complementary angles.  We also used two different variables in problems to choose the correct equation and then solved for both variables.  We ended up by going over one more proof together before getting started on our assignment.


Assignment:  section 2-4;  page 53;  WE 24-28;  +  Angle Pairs Practice worksheet

Honors Geometry; 10/2

We went over our first review sheet and answered any questions that the students had on their homework proofs.  We then worked through a "pass the proof" activity in which students had limited time access to 5 different proofs as we practice and worked on them together.  The students then got started on their 2nd review sheet in preparation for the chapter 2 test tomorrow.


Assignment:  Chapter 2 review #2


Test 7 Answers

1.  congruent
2.  acute
3.  right
4.  obtuse
5.  105
6.  90 - 3y
7.  angle DEB;  angle DGE
8.  angle 3,  angle 2
9.  angle EGD,  angle DGB
10.  angle 1
11.  a.  40       b.  50
12.  angle 7 is congruent to angle 9
13.  complementary
14.  proof steps.
        1.  given
        2.  def. of perpendicular lines
        3.  if ext. sides of 2 adjacent acute angles are perpendicular,
             then the two angles are complementary
        4.  given
        5.   if ext. sides of 2 adjacent acute angles are perpendicular,
             then the two angles are complementary
        6.  given
        7.  complements of congruent angles are congruent themselves

Test 8 Answers

1.  a.  angle 1 and angle 2 are right angles
     b.  angle 1 is congruent to angle 2
     c.  If angle 1 is congruent to angle 2, then angle 1 and angle 2 are right angles.
     d.  false
2.   proof reasons
      1.  given equation
      2.  distributive property
      3.  addition prop. of =
      4.  subtraction prop. of =
      5.  division prop. of =
3.  a.  angle FGE and angle HGI
     b.  angle EGJ and angle IGJ
     c.  angle EGF and angle FGJ
4.  midpoint theorem
5.  def. of perpendicular lines
6.  reflexive
7.  angle bisector theorem
8.  def. of complementary angles
9.  adjacent angles
10.  55
11.  58
12.  52
13.  70
14.  32
15.  a.  13     b.  75
16.  If two lines are perpendicular, then they meet to form right angles.
       If two lines meet to form right angles, then they are perpendicular.
17.   proof statements
          1.                                                   1.  given
          2. m angle 1 + m angle 2 = 90      2.
          3.                                                   3.  angle addition post.
          4.                                                   4.  subst. / transitive
          5.  AB perpendicular to BC          5.
          6.                                                   6.  def. of perpendicular
          7.                                                   7.  substitution / transitive

18.  proof statements
          1. angle 3 and 4 are supp.             1.  given
          2. m angle 3 + m angle 4 = 180    2.  def. of supplemental
          3. m angle 1 + m angle 4 = 180    3.  angle addition post.
          4. angle 3 + angle 4 = angle 1 + angle 4      4.  subst. / transitive
          5. angle 4 = angle 4                      5.  reflexive
          6. angle 3 = angle 1                      6.  subtraction prop. =
          7. angle 3 = angle 2                      7.  vertical angles =
          8.  angle 1 = angle 2                     8.  substitution / trans.
          9.  angle 1 congruent to angle 2   9.  def. of congruent

Geometry; 9/29

We spent today introducing the next topic in our study of proof in geometry.  We went over how to use special angle pairs.  Complementary angles, supplementary angles, and vertical angles were the angle pairs that we worked with today.  Calculations and proof examples were both shown before getting started on the assignment.


Assignment:  section 2-4;  page 52-54;  CE 10-19;  WE 1-21 all

Honors Geometry; 9/29

We spent time today going over homework and reviewing various parts of proofs together.   After a couple of sample proofs, the students then got started on their homework, which was a review sheet and 4 geometric proofs.

Assignment:  Chapter 2 review sheet #1 + proofs 7, 12, 17, and 18