Question

10. Given: ABED, AD = EBProve: AABD AEDBLook at the proof. Name the postulate you would use to prove the two triangles are congruent.Given: AB ED, AD EBProve: AABD = AEDBAB EDGivenAD EBGivenBD BDReflexive Propertyof CongruenceAABD AEDB?BDE

Answer 1

In the problem, we are already given 2 pairs of sides that are congruent: AB and ED, and AD and BE.

Using the reflexive property of congruence, we also know that segment BD is congruent to itself.

We have therefore used three pairs of sides that are congruent to prove that △ABD ≅ △EDB.

This means that we used the SSS Postulate to prove the congruence of the two triangles.