Congruent Triangles – Pairs of Triangles

Page 11

We will be proving one pair of triangles congruent to help us prove a second pair of triangles congruent!

Statement Reason

1. Given

Pg. 11 #3

CEAE 1.

GEAFEC ΔΔ .4 SASSAS .4

21 .3 3. Vertical angles are congruent

AC .5 5. CPCTC

2. GivenGEFE 2.

BEADEC .6 6. Vertical angles are congruent

BEADEC ΔΔ .7 ASAASA .7

Statement Reason

1. Given

2. Segment bisectors divide a segment into two congruent parts

Pg. 11 #4

GBDAC

at other each bisect and 1.

BGADGC ΔΔ .4 SASSAS .4

BGADGC .3 3. Vertical angles are congruent

GCAGGBDG

2.

BD .5 5. CPCTC

21 .6 6. Vertical angles are congruent

BGFDGE ΔΔ .7 ASAASA .7

GFGE .8 8. CPCTC

Statement Reason

1. Given

7. A segment bisector divides a segment into two congruent parts

Pg. 11 #5

21 .8 8. Vertical angles are congruent

GBDG 7.

EGFG .10 10. CPCTC

2. GivenBADC 2.3. GivenGBDEF at bisects 3.

CBAD 1.

4. Reflexive postulateDBDB 4.

CBDADB ΔΔ .5 SSSSSS .5 CDBABD .6 6. CPCTC

BGFDGE ΔΔ .9 ASAASA .9

Statement Reason

1. Given

Pg. 11 #6

21 .8 8. CPCTC

2. GivenBDBC 2.

ADAC 1.

3. Reflexive postulateABAB 3.

ABDABC ΔΔ .4 SSSSSS .4 43 .5 5. CPCTC

DAECAE ΔΔ .7 SASSAS .7

6. Reflexive postulateAEAE 6.