Question

What else would need to be congruent to show that ABC~XYZ by ASA? given: AB~XY, A~X,

Answer 1

Answer:

Two triangles are said to be congruent by ASA congrency criterion if the two angles and side between them are equal or congruent.

Refer to the image attached.

To prove: $\Delta ABC \sim \Delta XYZ$

Given: $AB \cong XY, \angle A \cong \angle X$

Now, we can observe that the side AB is between the angles A and B and the side XY is between the angles X and Y.

Since it is given that  $AB \cong XY, \angle A \cong \angle X$, so the condition $\angle B \cong \angle Y$ should be known to shows these triangles congruent.