Geometry

Question Analysis
This question involves logical notation and transformations of conditional statements.
The main focus is on understanding the inverse statement (¬p → ¬q) and identifying its correct verbal representation.

Key Concept Explanation:
For a conditional statement p→q:
Inverse (¬p → ¬q): This means negating both the hypothesis and conclusion but keeping the same order.
Given statement: "If a figure is a square (p), then it has four equal sides (q)."
Inverse: "If a figure is not a square (¬p), then it does not have four equal sides (¬q)."

Step-by-Step Solution:
Identify p and q:
p: The figure is a square.
q: The figure has four equal sides.
Negate both p and q:
¬p: The figure is not a square.
¬q: The figure does not have four equal sides.
Construct the inverse statement:
"If a figure is not a square, then it does not have four equal sides."
Match with the given answer choices.

Option Analysis:
A) If a figure is a square, then it has four equal sides. → This is the original statement (p→q). Incorrect.
B) If a figure has four equal sides, then it is a square. → This is the converse (q→p). Incorrect.
C) If a figure is not a squar...