Geometry

Question Analysis
This question tests the ability to identify the original statement from its contrapositive and determine its truth value.

Key Concept Explanation:
The contrapositive of "If P, then Q" is "If not Q, then not P."
The original statement and its contrapositive are logically equivalent.

Step-by-Step Solution:
Contrapositive: "If a quadrilateral does not have two pairs of parallel sides (not Q), then it is not a parallelogram (not P)."
Original statement: "If a quadrilateral is a parallelogram (P), then it has two pairs of parallel sides (Q)."
The original statement is true because all parallelograms have two pairs of parallel sides.

Option Analysis:
A: Correct original statement and true.
B: This is the converse, which is true but not th...