Question

question 2 of 10 what else would need to be congruent to show that △abc≅ △xyz by asa? given: (overline{ab}congoverline{xy}) (angle acongangle x) a. (angle bcongangle y) b. (angle ccongangle z) c. (overline{ac}congoverline{xz}) d. (overline{bc}congoverline{yz})

Explanation:

Step1: Recall ASA congruence criterion

ASA (Angle - Side - Angle) states that two triangles are congruent if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Step2: Identify given congruences

We are given $\overline{AB}\cong\overline{XY}$ and $\angle A\cong\angle X$. The included side for $\angle A$ and another angle in $\triangle ABC$ is $AB$, and for $\angle X$ and another angle in $\triangle XYZ$ is $XY$.

Step3: Determine the required angle

We need the angles at the other end of the congruent sides to be congruent. So we need $\angle B\cong\angle Y$.

Answer:

A. $\angle B\cong\angle Y$