- AAB = AC
- BAD = DB
- CBD = AE
- DAB = AE
Step-by-Step Solution
AB = AD + DB and AC = AE + EC; since AD = AE and DB = EC, we get AB = AC. With common angle A, SAS then gives congruence.
Answer: A) AB = AC
Points D on AB and E on AC of triangle ABC satisfy AD = AE and BD = CE.
Prove triangle ABE is congruent to triangle ACD by first noting AB = AD + DB and AC = AE + EC. Which equality of full sides follows?
Class 9Criteria for CongruenceGeometry — Triangles
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