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.
