Question

Given: HF || JK; HG ≅ JG

Prove: FHG ≅ KJG


To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?

FGH ≅ KGJ because vertical angles are congruent.
JKG ≅ HFG because vertical angles are congruent.
FHG ≅ JKG because right angles are congruent.
HFG ≅ KJG because alternate interior angles are congruent.

Answer 1

A. FGH ≅ KGJ because vertical angles are congruent

I JUST TOOK THE TEST!!!!

Answer 2

The answer is A. FGH ≅ KGJ because vertical angles are congruent.

This is correct because according to the verticle angle theorem if two angles are vertical angles, then they are congruent.

Sorry that this answer is very late, but hope it helps!