CPCTC Congruent Triangles
Jan 01, 2016
Statement Reason
1. Given
2. Given
Pg. 3 #1
KLMLN bisects 1.
LMNLKN ΔΔ .5 AASAAS .5
21 .3 3. An angle bisector divides an
angle into two congruent parts
LMKLKM 2.
LNLN .4 4. Reflexive postulate
NKNM .6 6. CPCTC
Statement Reason
1. Given
2. Given
Pg. 3 #2
MPMN 1.
MQPMQN ΔΔ .5 SSSSSS .5
.3 QP NQ 3. A segment bisector divides a
segment into two congruent parts
MQMQ .4 4. Reflexive postulate
PQMNQM .6 6. CPCTC
NPMR bisects 2.
Statement Reason
1. Given
2. Given
Pg. 3 #3
MTHA 1.
TAHMAH ΔΔ .6 AASAAS .6
anglesright
are 2 and 1 .3 3. Perpendicular segments form right angles
AHAH .5 5. Reflexive postulate
HTAHMA 2.
21 .4 4. All right angles are congruent
Statement Reason
1. Given
2. Given
Pg. 3 #4
RTSM 2.
pairslinear are 4 and 2
pairslinear are 3 and 1 .3
3. Two adjacent angles that form a straight line are a linear pair
21 1.
arysupplement are 4 and 2
arysupplement are 3 and 1 .4
4. Linear pairs are supplementary
43 .5 5. Supplements of congruent
angles are congruent
.6 STSR 6. Sides opposite congruent
angles of a triangle are congruent
Statement Reason
1. Given
3. Given
Pg. 3 #5
BDAB 1.
EDCABC ΔΔ .8 ASAASA .8
anglesright
are and .4 DB 4. Perpendicular segments form right angles
CDBC .6 6. A segment bisector divides a segment into 2 congruent parts
BDAE bisects 3.
21 .7 7. Vertical angles are congruent
2. GivenDBED 2.
EDAB .9 9. CPCTC
.5 D B 5. All right angles are congruent
Statement Reason
1. Given
2. Given
Pg. 3 #6
21 2.
pairslinear are 4 and 2
pairslinear are 3 and 1 .3
3. Two adjacent angles that form a straight line are a linear pair
ATMH 1.
arysupplement are 4 and 2
arysupplement are 3 and 1 .4
4. Linear pairs are supplementary
43 .5 5. Supplements of congruent
angles are congruent
.6 MTMT 6. Reflexive postulate
THMMAT ΔΔ .7 SASSAS .7
Statement Reason
1. Given
2. Given
Pg. 3 #7
MPMR 1.
MQRMQP ΔΔ .5 SASSAS .5
21 .3 3. An angle bisector divides an
angle into two congruent parts
MQMQ .4 4. Reflexive postulate
6. CPCTC
PMRQM bisects 2.
RQPQ .6
Statement Reason
AWML 1.
MAKT 2.
1. Given
2. Given
21 .3
Pg. 3 #8
TMTM .4
3. Given
4. Reflexive postulate
TMMATMKT .5 5. Addition postulate
6. Partition postulate
7. Substitution postulate
ATTMMAKMTMKT
.6
ATKM .7
TAWKML .8 SASSAS .8
TWKL .9 9. CPCTC
Statement Reason
2. Given
Pg. 4 #9
anglesright are 2 and 1 4. 4. Perpendicular segments
form right angles
1. Given
RGME 2.
3. GivenMEMI 3.
MGMG 7. 7. Reflexive Postulate
TGMI 1.
MEGMIG ΔΔ .8 leg-Hyleg- Hy.8 9. CPCTCRGPTGP 9.
6. Triangles with right angles are right trianglesnglesright tria are
Δ and Δ .6 MEGMIG
21 5. 5. All right angles are congruent
Statement Reason
2. Given
Pg. 4 #10
anglesright are 2 and 1 5.
21 6.
5. Perpendicular segments form right angles
1. Given
OATA 2.
3. Given
6. All right angles are congruent
TADO 3.
GCGC 7. 7. Reflexive Postulate
OADO 1.
4. GivenAGOC 4.
GCAGCGOC .8 8. Subtraction Postulate
9. Partition Postulate
10. Substitution PostulateACOG 10.
TACDOG ΔΔ .11 SASSAS .11
ACGCAGOGCGOC
.9
12. CPCTCTCDG 12.