Which triangle congruence theorem could be used to show that triangle AED is congruent to triangle AEB? I'm stuck because it looks like it would only be HL; the hypotenuses are congruent and they're both right triangles, and they share the side AE. But, the choices are
A) SAS and ASA
B) SAS and HL
C) ASA and HL
D) SAS, ASA, and HL

Question

Which triangle congruence theorem could be used to show that triangle AED is congruent to triangle AEB? I'm stuck because it looks like it would only be HL; the hypotenuses are congruent and they're both right triangles, and they share the side AE. But, the choices are
A) SAS and ASA
B) SAS and HL
C) ASA and HL
D) SAS, ASA, and HL

hitaro9 · Answer

Think you could draw a picture real quick?

hitaro9 · Answer

Or I can try if I'm following your description |dw:1432151798975:dw|

hitaro9 · Answer

Like that?

anonymous · Answer

Awesome! Yes; I was just trying to pull up a picture :)

hitaro9 · Answer

HL would definitely work.

hitaro9 · Answer

Notice that the triangle as a whole is isoceleses. What does that tell you about the base angles?

anonymous · Answer

OH MY GOD thank you!!!!! You are awesome!!!!!!

hitaro9 · Answer

Yep C:

hitaro9 · Answer

No problem