congruent triangles – pairs of triangles page 11
TRANSCRIPT
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.