Geometry

Question Analysis:
This question evaluates whether you can apply the midpoint formula to test for diagonal bisection in a coordinate quadrilateral.
The main focus is proving a shape is a parallelogram based on diagonal behavior.

Key Concept Explanation:
If both diagonals share the same midpoint, they bisect each other → parallelogram.

Step-by-Step Solution:
Diagonal WY: W(1, 3), Y(9, 4) → Midpoint = ((1 + 9)/2, (3 + 4)/2) = (5, 3.5)
Diagonal XZ: X(4, 7), Z(6, 0) → Midpoint = ((4 + 6)/2, (7 + 0)/2) = (5, 3.5)
Both midpoints are equal → diagonals bisect each other → parallelogram

Option Analysis:
A: ✅ Correct – equal midpoints confirm bisectio...