Geometry

Question Analysis
This question tests the ability to derive the contrapositive of a statement about parallel lines and determine its truth value.

Key Concept Explanation:
The contrapositive of "If P, then Q" is "If not Q, then not P."
It is logically equivalent to the original statement.

Step-by-Step Solution:
Original statement: "If two lines are parallel (P), then they do not intersect (Q)."
Contrapositive: "If two lines intersect (not Q), then they are not parallel (not P)."
The contrapositive is true because it is logically equivalent to the original statement.

Option Analysis:
A: Correct contrapositive and true.
B: This is the converse, which is false (e.g., skew lines do not intersect but are not p...