Elementary Geometry for College Students (6th Edition)

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

Chapter 2 - Section 2.3 - Proving Lines Parallel - Exercises - Page 88: 34

Answer

Lines can be parallel (have the same slope) even if they are not in the same plane. Thus, as long as two lines are parallel, the proof in 33 shows that the third line will be parallel as well, regardless of whether or not this line is in the same plane.
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