Question

fill in the blank 9 points
4.
$\triangle pqs \cong \triangle \square$ by $\square$
(the filled content in the blanks are rsq and sss)

Explanation:

Step1: Identify congruent sides

From the diagram:

• $PS = RQ$ (marked congruent)
• $PQ = SR$ (opposite sides of parallelogram are equal)
• $SQ = QS$ (common side, reflexive property)

Step2: Apply congruence rule

Three pairs of corresponding sides are equal, so the triangles are congruent by SSS (Side-Side-Side) congruence. The corresponding triangle to $\triangle PQS$ is $\triangle RSQ$.

Answer:

$\triangle PQS \cong \triangle RSQ$ by SSS