Question

which two triangles are congruent by the sss theorem? complete the congruence statement.

Explanation:

Step1: Recall SSS theorem

The SSS (Side - Side - Side) theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Step2: Match side - lengths

By observing the tick - marks on the sides of the triangles, we can see that $\triangle XYW$ and $\triangle QRP$ have corresponding sides equal. The single - ticked sides are equal, the double - ticked sides are equal and the triple - ticked sides are equal.

Answer:

$\triangle XYW\cong\triangle QRP$