CPCTC

Congruent Triangles

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.

Statement Reason

1. Given

2. Given

Pg. 4 #12

CHCT 1.

CXHCXT ΔΔ .5 SASSAS .5

21 .3 3. An angle bisector divides an

angle into two congruent parts

CXCX .4 4. Reflexive postulate

XHTX .6 6. CPCTC

TCHCX bisects 2.

THXHTX .7 7. Angles opposite congruent sides of a triangle are congruent.