Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - 2-2 Conditional Statements - Practice and Problem-Solving Exercises: 21

Answer

conditional - true converse - false inverse - false contrapositive - true

Work Step by Step

If you are a pianist, then you are a musician. The converse swaps the hypothesis and the conclusion. If you are a musician, then you are a pianist. False. A drummer is a counterexample. The inverse negates the hypothesis and the conclusion. If you are not a pianist, then you are not a musician. False. A guitarist is a counterexample. The contrapositive both swaps and negates the hypothesis and conclusion. If you are not a musician, then you are not a pianist. True, since all pianists are musicians.
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