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 2.1 - The Parallel Postulate and Special Angles - Exercises - Page 87: 5b


The relation "is parallel to" does have a symmetric property.

Work Step by Step

If a relation has a symmetric property, it means that the relation is applicable from one subject to a second subject and vice versa. A line can be parallel to another line and vice versa, so the relation does indeed have a symmetric property.
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