Question

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

Explanation:

Step1: Identify equal - side markings

In $\triangle HGI$ and $\triangle BAC$, we can see the side - length markings. The single, double, and triple red markings on the sides of the triangles indicate equal lengths.

Step2: Apply SSS theorem

The SSS (Side - Side - Side) theorem states that if the three sides of one triangle are equal in length to the three corresponding sides of another triangle, then the two triangles are congruent. Here, the side lengths of $\triangle HGI$ match the side lengths of $\triangle BAC$ based on the markings.

Answer:

$\triangle HGI\cong\triangle BAC$