Geometry
Writing Assignment: Proofs on Congruent Triangles
Each proof is worth 10 points
Total Points: 50
Complete a two column proof for each problem.
1. Given:
AD
AB
and
EA
CA
Prove:
Δ
ABC
Δ
ADE
2.
Given:
and
EDC
BCD
ECD
BDC
Prove:
Δ
BCD
Δ
EDC
the 2 given congruences
reason:given
angles CAB congruent to DAE
reason:vertical angle
theorem
2 triangles congruent
reason:SAS
BD is congruent to EC
angle BDC is congruent to ECD
angle F is the same for both triangles
C and D are congruent
BC is congruent to ED