Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - Mid-Chapter Quiz: 17

Answer

converse (false): If an integer is divisible by 2, then it ends with 0. counterexample: 6 inverse (false): If an integer does not end in 0, then it is not divisible by 2. counterexample: 8 contrapositive (true): If an integer is not divisible by 2, then it does not end in 0.

Work Step by Step

Write the converse by switching the hypothesis and conclusion. Write the inverse by negating both the hypothesis and conclusion. Write the contrapositive by both switching and negating the hypothesis and conclusion.
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