7
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Question 7 • **MFISD GEOMETRY A 22-23 CR

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

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

Explanation

The inverse of a conditional switches both parts to their negations while keeping their order: “If not p, then not q.” Here, p is “a polygon has five angles” and q is “it is a pentagon.” So the inverse is “If a polygon does not have five angles, then it is not a pentagon,” which is choice C.

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