Geometry

Question Analysis
This question involves identifying the contrapositive of a statement about circles and determining 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 a shape is a circle (P), then it has no sides (Q)."
Contrapositive: "If a shape has sides (not Q), then it is not a circle (not P)."
The contrapositive is true because it is logically equivalent to the original statement.

Option Analysis:
A: This is the converse, which is false (e.g., an ellipse has no sides but is not a circle).
B: Correct contrapositive and true.
C: This is the inv...