Tell which theorem or postulate you would use to prove Triangle BAE congruent to Triangle DEA.
To prove Triangle BAE congruent to Triangle DEA, we can use the Angle-Angle-Side (AAS) congruence postulate.
AAS states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
In this case, we can use AAS to prove the congruence of Triangle BAE and Triangle DEA by showing the following congruences:
1) Angle BAE is congruent to Angle DEA (common angle)
2) Angle ABE is congruent to Angle DAE (vertical angles formed by two intersecting lines)
3) Side AE is congruent to itself (common side)
By satisfying the AAS criteria, we can conclude that Triangle BAE is congruent to Triangle DEA.