Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 2 - Section 2.2 - Indirect Proof - Exercises - Page 80: 4

Answer

Converse: In a plane, if two lines are not parallel, then these lines are not perpendicular to the same line. (true) Inverse: In a plane, if two planes are perpendicular to the same line, then these lines are perpendicular. (true) Contrapositive: In a plane, if two lines are parallel, then these lines are perpendicular to the same line. (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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