Question

using triangle congruence theorems
which congruence theorem can be used to prove △wxz ≅ △yzx?
hl
sas
aas
asa

Explanation:

Step1: Identify the given information

We have two right - angled triangles \(\triangle WXZ\) and \(\triangle YZX\). \(\angle WXZ=\angle YZX = 90^{\circ}\), \(\angle W=\angle Y\) (given angles), and \(XZ = XZ\) (common side).

Step2: Recall the AAS (Angle - Angle - Side) congruence theorem

The AAS congruence theorem states that if two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

In \(\triangle WXZ\) and \(\triangle YZX\), we have two angles (\(\angle W=\angle Y\) and \(\angle WXZ=\angle YZX\)) and a non - included side (\(XZ\)) that are equal.

Answer:

AAS