Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 2 - Section 2.2 - Indirect Proof - Exercises - Page 80: 3

Answer

Converse: If two angles are complimentary, then the sum of their measures is 90$^{\circ}$. (true) Inverse: If the sum of the measures of two angles is not 90$^{\circ}$, then the two angles are not complimentary. (true) Contrapositive: If two angles are not complimentary, then the sum of their measures is not 90$^{\circ}$. (true)

Work Step by Step

Switch the hypothesis and conclusion for the converse. Negate the hypothesis and conclusion for the inverse. Switch and negate the hypothesis and conclusion for the contrapositive.
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