Question

which shows two triangles that are congruent by the sss congruence theorem?

Explanation:

Step1: Recall SSS congruence

The SSS (Side - Side - Side) congruence theorem states that if three sides of one triangle are equal to three corresponding sides of another triangle, the two triangles are congruent. We need to look for the figure where the three pairs of corresponding sides are marked as equal.

Step2: Analyze each option

In the first figure, we don't have three pairs of sides marked equal. In the second figure, we have three pairs of sides marked equal which satisfies the SSS congruence criterion. In the third figure, we have right - angle markings and side - angle - side like markings rather than SSS.

Answer:

The second figure (where three pairs of corresponding sides are marked equal) shows two triangles that are congruent by the SSS congruence theorem.