Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 1 - Section 1.4 - Angles and Their Relationships - Exercises: 9

Answer

Yes, Two rays with a common endpoint must be coplanar. No, Three rays with a common endpoint are not necessarily coplanar.

Work Step by Step

We are going to imagine a tissue box to help visualize the answer to this problem. First question: Yes. Choose any two edges of the box that are connected by a corner (two rays with a common endpoint) and these two edges (rays) define one side of the box; or one plane. Second question: No. Choose any three edges of the box that are connected by a corner (three rays with a common endpoint) and you will see that these three edges (rays) define two sides of the box or two separate planes.
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