Question

can you conclude that these triangles are congruent?

Explanation:

Step1: Recall congruent triangle criteria

Congruent triangle criteria include AAS (Angle - Angle - Side). If two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle, the triangles are congruent.

Step2: Identify angles and side

In \(\triangle XYW\) and \(\triangle ZYW\), \(\angle X=\angle Z\) (given by the double - arc markings), \(\angle XWY=\angle ZWY\) (given by the single - arc markings), and \(YW = YW\) (common side).

Answer:

yes