Geometry

Question Analysis:
This question assesses understanding of logical negation and contrapositive structure in coordinate-based shape reasoning.
The main focus is forming the contrapositive of a geometric property statement.

Key Concept Explanation:
The contrapositive of “If p, then q” is “If not q, then not p.”
Here, p = “quadrilateral has perpendicular diagonals”, q = “it is not a rectangle”.

Step-by-Step Solution:
Original: “If perpendicular diagonals (p), then not a rectangle (q)”
Contrapositive: “If not q, then not p” → “If a quadrilateral is a rectangle, then it does not have perpendicular diagonals.”

Option Analysis:
A. ✅ Correct contrapositive
B. ❌ Converse
C. ❌ Inverse, not logically equivalent
D. ❌ Factually inc...