Geometry

Question Analysis:
This is a coordinate-based application of the diagonal bisection condition.
The main focus is whether the midpoint test holds.

Key Concept Explanation:
Equal midpoints = diagonal bisection = parallelogram.

Step-by-Step Solution:
Diagonal PR: P(0, 0) and R(8, 6)
Midpoint = ((0 + 8)/2, (0 + 6)/2) = (4, 3)
Diagonal QS: Q(6, 2) and S(2, 4)
Midpoint = ((6 + 2)/2, (2 + 4)/2) = (4, 3)

Option Analysis:
A: Incorrect – the diagonals are not congruent
B: Incorrect – midpoints are the same
C: Correct...