Geometry

Question Analysis
This question tests the ability to derive the contrapositive of a statement about points in the first quadrant of the coordinate plane.

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 a point lies in the first quadrant (P), then its x-coordinate is positive and its y-coordinate is positive (Q)."
Contrapositive: "If a point's x-coordinate is not positive or its y-coordinate is not positive (not Q), then it does not lie in the first quadrant (not P)."
The contrapositive is true because it is logically equivalent to the original statement.

Option Analysis:
A: This is the converse, which is true but not the contrapositive.
B...