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: 23

Answer

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

Work Step by Step

if a number is an odd natural number less than 8, then the number is prime. The converse swaps the hypothesis and the conclusion. If a number is prime, then it is an odd natural number less than 8. False. 11 is a counterexample. The inverse negates the hypothesis and the conclusion. If a number is not an odd natural number less than 8, then the number is not prime. False. 13 is a counterexample. The contrapositive both swaps and negates the hypothesis and conclusion. If a number is not prime, then it is not an odd natural number less than 8. True. There is no counterexample.
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