Question

in the figure below, $pq \cong rq$ and $ps \cong rs$
based only on the given information, which theorem could be used to prove $\triangle pqs \cong \triangle rqs$?
a side-side-side
b angle-angle-side
c side-angle-side
d angle-side-angle

Explanation:

Step1: List given congruent sides

$PQ \cong RQ$, $PS \cong RS$

Step2: Identify shared side

$QS \cong QS$ (common side for both triangles)

Step3: Match to congruence theorem

Three pairs of congruent sides satisfy the Side-Side-Side (SSS) condition.

Answer:

A. Side-Side-Side