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

Geometry; 10/1

We went over the homework assignment at the beginning of the period before the students took their chapter 2 quiz.  Once they finished the quiz, the students then worked on an extra credit logic puzzle.



Assignment:  logic puzzle option

Honors Geometry; 10/1

We took our Chapter 2 Test in class today.  The students finished up various review assignments after the test.

Assignment:  none