Geometry

Question Analysis:
This question uses algebraic expressions for sides of a quadrilateral.
The main focus is applying the rule: if both pairs of opposite sides are congruent, the quadrilateral is a parallelogram.

Key Concept Explanation:
In a parallelogram:
Opposite sides are congruent
So, set opposite side expressions equal and solve for x.

Step-by-Step Solution:
Since PQRS is a parallelogram:
PQ ≅ RS → 2x + 3 = x + 6
  → 2x – x = 6 – 3
  → x = 3
PS ≅ QR → 5x – 1 = 3x + 5
  → 5x – 3x = 5 + 1
  → 2x = 6
  → x = 3

Common Mistakes:
Solving only one pair of...