Question

Given: EDF=ABF
Name the postulate or theorem you can use to prove ADE=EBA.

Answer 1

The HL (hypotenuse leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

Explanation:

AE is congruent to itself.

AB is congruent to DE

<ADE and <EBA are right angles, making them right triangles

Therefore ADE is congruent to EBA by the HL theorem.