Geometry

Question Analysis:
This is a coordinate geometry problem testing knowledge of diagonal bisection using midpoint formulas.
The main focus is on verifying bisection using algebra.

Key Concept Explanation:
In a parallelogram, diagonals bisect each other → if diagonals share the same midpoint, it’s a strong indicator.

Step-by-Step Solution:
Diagonal AC:
A(1, 3), C(9, 3)
Midpoint = ((1 + 9)/2, (3 + 3)/2) = (5, 3)
Diagonal BD:
B(5, 7), D(5, −1)
Midpoint = ((5 + 5)/2, (7 + (−1))/2) = (5, 3)
→ Same midpoint = (5, 3) → Diagonals bisect each other

Option Analysis:
A. ✅ Correct – midpoints match, so both diagonals are bisected
B. Incor...