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 - Apply What You've Learned - Page 95: b


I is the converse of II because the hypothesis and conclusion are swapped. Inverse: If a, b, c and d do not form a 2-by-2 calendar square, then $a+d\ne b+c$. Contrapositive: If $a+d\ne b+c$, then a, b, c and d do not form a 2-by-2 calendar square.

Work Step by Step

The inverse negates the hypothesis and conclusion. The contrapositive both negates and swaps the hypothesis and conclusion.
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