Question

question 6 of 10
what else would need to be congruent to show that △abc≅△xyz by sas?
given:
ab≅xy
∠a≅∠x
a. bc≅yz
b. ac≅xz
c. ∠b≅∠y
d. ∠c≅∠z

Explanation:

Step1: Recall the SAS (Side - Angle - Side) congruence criterion

The 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 the given congruent parts

We are given that \(\overline{AB}\cong\overline{XY}\) and \(\angle A\cong\angle X\). For the SAS criterion, we need the sides adjacent to the given congruent angles to be congruent. In \(\triangle ABC\) and \(\triangle XYZ\), the sides adjacent to \(\angle A\) and \(\angle X\) are \(AC\) and \(XZ\) respectively.

Answer:

B. \(\overline{AC}\cong\overline{XZ}\)