Question

What else would need to be congruent to show that ABC XYZ by ASA?

Answer 1

Answer: $\overline{XY}=\overline{AB}$

Step-by-step explanation:

In the given picture , there rae two triangles ΔABC and ΔXYZ.

It is given that ∠X≅∠A and ∠Y≅∠B

To prove both the triangles are congruent by ASA postulate, we need the corresponding included side of the given congruent pairs of angles.

The included side of ∠X and ∠Y is XY

The included side of ∠A and ∠B is AB

Thus, the additional information we neewd to prove the given triangle congruent by ASA is

$\overline{XY}=\overline{AB}$

• ASA  postulate tells that if two angles and the included side of one triangle are equal or congruent to two angles and the included side of another triangle, then the triangles are said to be congruent.

Answer 2

ASA stands for "angle side side" and we are already given two angles. That means we need a side. That eliminates two of the choices. I would assume that the answer is A, because XY and AB are in between the given angles.