Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Section 2.2 - Indirect Proof - Exercises - Page 94: 25


Assume that line $r$ $\parallel$ line $s$. Them $\angle$1 $\cong$ $\angle$ 5 because they are corresponding angles. But it is given that $\angle$1 $\ncong$ $\angle$5, which leads to a contradiction. Thus, the assumption that that $r$ $\parallel$ $s$ is false and it follows that $r$ $\nparallel$ $s$.

Work Step by Step

Work cannot be shown for a proof. Logic is the only work done in such instances.
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