Question

use a triangle congruence theorem to determine the congruence statement the diagram represents.

move a triangle into the space provided.

$\triangle psq\cong$ $\triangle sqr$ $\triangle qrs$ $\triangle rsq$ $\triangle rsp$

Explanation:

Step1: Identify corresponding sides

In \(\triangle PSQ\) and \(\triangle RSQ\), \(PS = RS\) (marked with one - cross), \(PQ=RQ\) (marked with double - cross), and \(SQ = SQ\) (common side).

Step2: Apply SSS congruence theorem

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

Answer:

\(\triangle RSQ\)