Question

Choices:

a
No you cannot use HL to prove the triangles are congruent because there is no way to know if the hypotenuses of BE and EC are congruent


b
No you cannot use HL to prove the triangles are congruent because there is no way to know if the legs of of AE and ED are congruent


c
Yes you can use HL to prove the triangles are congruent. Since you are given that E is the midpoint of AD and BC you know that the hypotenuses BE and EC; as well as the legs AE and ED are congruent you can use HL to prove the triangles are congruent.

Answer 1

The answer is:

C. Yes, you can use HL to prove the triangles are congruent. Since you are given that E is the midpoint of AD and BC, you know that the hypotenuses BE and EC, as well as the legs AE and ED are congruent, you can use HL to prove the triangles are congruent.


Remember that a midpoint divides a segment into to two congruent segments.