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

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

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

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