Question

question 4 of 10 what else would need to be congruent to show that △abc≅ △xyz by sas? given: ab≅xy bc≅yz a. ∠c≅∠z b. bc≅yz c. ∠b≅∠y d. ac≅xz

Explanation:

Step1: Recall SAS criterion

The Side - Angle - Side (SAS) congruence criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Identify given sides

We are given that $\overline{AB}\cong\overline{XY}$ and $\overline{BC}\cong\overline{YZ}$. The included angles for these pairs of sides are $\angle B$ and $\angle Y$ respectively.

Step3: Determine missing congruence

To prove $\triangle ABC\cong\triangle XYZ$ by SAS, we need $\angle B\cong\angle Y$.

Answer:

C. $\angle B\cong\angle Y$