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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