Geometry

Question Analysis:
This is a geometry-algebra question combining the properties of diagonals in a parallelogram with solving linear equations.
The main focus is checking whether both diagonals are bisected, i.e., PM = MR and QM = MS.

Key Concept Explanation:
In a parallelogram, the diagonals bisect each other.
This gives us two conditions to satisfy simultaneously:
PM = MR
QM = MS

Step-by-Step Solution:
PM = MR → 2x + 1 = 4x − 5
→2x + 1 = 4x − 5
→ x = 3
QM = MS → 3x − 2 = x + 4
→ 2x = 6
→ x = 3

Common Mistakes:
Only solving one equation
Not checking if both diagonals are bisected