Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - 4-2 Triangle Congruence by SSS and SAS - Practice and Problem-Solving Exercises - Page 233: 44


If $x^2=9$, then x=3 Converse: False

Work Step by Step

In order to create a converse, switch the order of the two statements provided. This gives: If $x^2=9$, then x=3 We see that the converse is false by using a counterexample. $x=-3$ would satisfy the equation $x^2=9$, but it would not satisfy the equation x=3.
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