Elementary Geometry for College Students (6th Edition)

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

Chapter 3 - Section 3.4 - Basic Constructions Justified - Exercises - Page 152: 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.