Elementary Geometry for College Students (6th Edition)

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

Chapter 2 - Section 2.2 - Indirect Proof - Exercises - Page 80: 11

Answer

We would use the indirect method to prove (a), (b), and (e)

Work Step by Step

(a) Let $~~m\angle A \gt m\angle B$ Assume that $AC = BC$ This would lead to a contradiction. We would prove this statement with the indirect method. (b) Suppose these two exterior angles are not congruent. Assume that $l$ is parallel to $m$ This would lead to a contradiction. We would prove this statement with the indirect method. (c) We would prove this statement directly. (d) We would prove this statement directly. (e) Assume that perpendicular bisectors of a line segment are not unique. This would lead to a contradiction. We would prove this statement with the indirect method.
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.