Question

question 3 of 10
what else would need to be congruent to show that △abc≅△xyz by asa?
given:
∠x≅∠a
∠z≅∠c
a. \overline{bc}≅\overline{yz}
b. \overline{ac}≅\overline{xz}
c. ∠z≅∠a
d. ∠y≅∠c

Explanation:

Step1: Recall ASA (Angle - Side - Angle) Congruence Criterion

ASA states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Identify the Angles and Sides in the Given Triangles

We are given \(\angle X\cong\angle A\) and \(\angle Z\cong\angle C\).
In \(\triangle ABC\) and \(\triangle XYZ\), the included side between \(\angle A\) and \(\angle C\) is \(AC\), and the included side between \(\angle X\) and \(\angle Z\) is \(XZ\).

Answer:

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