Question

use a triangle congruence theorem to determine the congruence statement the diagram represents. move a triangle into the space provided. △psq ≅

Explanation:

Step1: Identify corresponding sides

From the diagram, \(PS = RS\) (marked with one tick), \(PQ=RQ\) (marked with two ticks), and \(SQ = SQ\) (common side).

Step2: Apply SSS congruence theorem

Since three pairs of corresponding sides are equal (\(PS = RS\), \(PQ = RQ\), \(SQ=SQ\)), by the Side - Side - Side (SSS) congruence theorem, \(\triangle PSQ\cong\triangle RSQ\).

Answer:

\(\triangle RSQ\)