Geometry

Question Analysis:
This question involves the determination criteria of parallelograms.
The main focus is to test whether students can correctly apply the rules for identifying parallelograms based on the given information about the sides and their relationships.

Key Concept Explanation:
A parallelogram has several well - known determination criteria.
One of the most common ones is that a quadrilateral is a parallelogram if both pairs of opposite sides are parallel, or if one pair of opposite sides is both parallel and congruent.

Step - by - Step Solution:
Recall the determination rules for parallelograms.
Analyze the given information: we have PQ // SR and PS = QR.
However, the correct rule for determining a parallelogram using one pair of opposite sides requires that the pair of opposite sides be both parallel and congruent.
Here, PQ and SR are the parallel sides, but we only kno...