Friday, October 28, 2016

Honors Geometry; 10/28

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

Assignment:  CPCTC worksheet packet

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


CPCTC answers

Example #1

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

Example #2

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

Classwork problems

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

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

#3

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

#4

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

#6

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

Congruent Triangles Drawings

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

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