Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 2 - Reasoning and Proof - 2-3 Biconditionals and Definitions - Practice and Problem-Solving Exercises: 16

Answer

If a polygon is a triangle, then it has exactly three sides. If a polygon has exactly three sides, then it is a triangle.

Work Step by Step

The phrases on either side of "if and only if" in a biconditional can be used as the hypothesis and conclusion of a conditional and its converse. Recall that the converse of a conditional switches the hypothesis and conclusion.
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