Question

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

Explanation:

Step1: Identify corresponding sides

In triangle \( \triangle PQR \) and \( \triangle TUV \), we check the side - side - side (SSS) congruence.
Let's assume the markings represent equal side lengths. If the side with one mark in \( \triangle PQR \) is equal to the side with one mark in \( \triangle TUV \), the side with two marks in \( \triangle PQR \) is equal to the side with two marks in \( \triangle TUV \), and the side with three marks in \( \triangle PQR \) is equal to the side with three marks in \( \triangle TUV \).

Step2: Write the congruence statement

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

Answer:

\(\triangle PQR\cong\triangle TUV\)