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 81: 33

Answer

1. Let's consider the plane to be a plane like the x-y coordinate plane. If a line is parallel to another line in the same plane, then it has the same slope as that line. 2. Thus, the two lines that are parallel to the third line have the same slope. 3. By definition, because the lines have the same slope, they are parallel.

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