My question is in regards to a geometry question on an old version of the ACT. Any help would be appreciated

Question

anonymous · Answer

In the figure below, AD is perpendicular to BD, AC is perpendicular to BC, and AD is congruent to BC. Which of the following congruences is NOT necessarily true?
F. AC is congruent to BD
G. AD is congruent to AE
H. AE is congruent to BE
J. Angle DAB is congruent to angle CBA
K. Angle EAB is congruent to angle EBA

anonymous · Answer

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btaylor · Answer

What do you think the answer is?

anonymous · Answer

I'm pretty sure that the answer is G, but I'm not sure why.

anonymous · Answer

You don't know that both triangles are congruent, so I dont see how you know any of them are true

amistre64 · Answer

why do you not know if the tris are congruent to start with?

amistre64 · Answer

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