Question

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

Explanation:

Step1: Identify corresponding sides

In $\triangle RQS$ and $\triangle YXZ$, we check the side - side - side (SSS) congruence.
Let's assume the markings on the sides:
Suppose in $\triangle RQS$, the sides are marked with one - tick, two - ticks and three - ticks.
In $\triangle YXZ$, the sides are also marked with one - tick, two - ticks and three - ticks.

Step2: Write the congruence statement

By the 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.
We match the vertices of the triangles based on the side - length correspondences.

Answer:

$\triangle RQS\cong\triangle YXZ$