Geometry

Question Analysis:
This question requires selecting the correct reasoning or theorem to justify a parallelogram.
The main focus is on logical reasoning using geometric definitions.

Key Concept Explanation:
Among the several ways to prove a parallelogram, one states:
If one pair of opposite sides in a quadrilateral are both congruent and parallel, then the figure is a parallelogram.

Step-by-Step Solution:
Given: PQ = RS, PQ ∥ RS
This matches the condition in Option B, which is a recognized parallelogram property
Therefore, PQRS is a parallelogram due to that rule

Option Analysis:
A. Right angles don’t ensure a parallelogram unless all are right and both pairs of sides are parallel
B. Correct – This is the appropriate theorem
C. Two adjacent con...