Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 5 - Relationships Within Triangles - 5-2 Perpendicular and Angle Bisectors - Practice and Problem-Solving Exercises - Page 299: 41



Work Step by Step

The definition of bisecting is that something is cut in two equal portions. If $\overline {BD}$ bisects $\angle ABC$, then $\overline {BD}$ cuts $\angle ABC$ into exactly two congruent angles. In the answer options, only option $C$ shows that $\angle ABC$ is cut into exactly two congruent angles: $\angle ABD$ and $\angle CBD$. These angles are marked as being congruent in the diagram.
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