Geometry

Question Analysis:
This is a coordinate geometry question testing diagonal bisection to determine whether a figure is a parallelogram.
The main focus is on calculating and comparing midpoints.

Key Concept Explanation:
A quadrilateral is a parallelogram if both diagonals bisect each other, i.e., share a common midpoint.

Step-by-Step Solution:
Midpoint of MQ = ((1 + 7)/2, (2 + 10)/2) = (4, 6)
Midpoint of NP = ((2 + 6)/2, (9 + 3)/2) = (4, 6)
→ Both midpoints are the same ⇒ Diagonals bisect each other

Option Analysis:
A. ✅ Yes, both midpoints are (4, 6)
B. Incorrect – not ...