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 2.2 - Indirect Proof - Exercises - Page 94: 26


Assume $\overrightarrow{\rm BD}$ bisects $\angle$ABC. Then, the angles formed, $\angle$ABD and $\angle$DBC, would be congruent. But it is given that $\angle$ABD $\ncong$ $\angle$DBC, which leas to a contradiction. Thus, the assumption is false and it follows that $\overrightarrow{\rm BD}$ does not bisect $\angle$ABC.

Work Step by Step

Work cannot be shown for a proof. Logic is the only work done in such instances. Such work takes place mentally, and therefore cannot be shown.
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