11
QuizMultiple Choice

Introduction to Logic and Euclidean Geometry — Test

Question 11 • Geometry

What is the inverse of the conditional statement? If a polygon has five angles, then it is a pentagon.

Answer
A
If a polygon has five angles, then it is not a pentagon.
B
If a polygon is not a pentagon, then it does not have five angles.
C
If a polygon is a pentagon, then it has five angles.
D
If a polygon does not have five angles, then it is not a pentagon.

Explanation

The inverse of a conditional negates both its hypothesis and its conclusion. The original hypothesis is “a polygon has five angles,” and its conclusion is “it is a pentagon.” Negating both gives: “If a polygon does not have five angles, then it is not a pentagon,” which is choice D.

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