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 - Page 105: 19

Answer

converse (true): If two angles of a triangle are complementary, then the other angle is a right angle. inverse (true): If a triangle does not have one right angle, the other two angles are not complementary. contrapositive (true): If two angles of a triangle are not complementary, then the other angle is not a right angle.

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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