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 3 - Section 3.4 - Basic Constructions Justified - Exercises - Page 166: 30


1. We are told that all sides of both triangles are equal. Thus, by the side-side-side congruency theorem, ABC is congruent to ABD. 2. Since this is the case, it follows that the only way for a line to go through both point C and Point D is for it to be a perpendicular bisector. 3. By the definition of perpendicular bisector, AM and MB are congruent, and CD is perpendicular to AB.
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