Question

given: ab ≅ ed, ad ≅ eb prove: △abd ≅ △edb ab ≅ ed given ad ≅ eb given △abd ≅ △edb? bd ≅ bd reflexive property of congruence sss postulate aaa postulate sas postulate

Explanation:

The SSS (Side - Side - Side) postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. Here, we are given that $AB\cong ED$, $AD\cong EB$, and $BD\cong BD$ (reflexive property). So, we have three pairs of congruent sides. The AAA (Angle - Angle - Angle) postulate is not used for proving triangle congruence as it only shows similarity. The SAS (Side - Angle - Side) postulate requires two sides and the included angle to be congruent, which is not the case here.

Answer:

A. SSS Postulate