Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 1 - Section 1.3 - Early Definitions and Postulates - Exercises: 28a


$\overline{AB}$ is congruent to $\overline{CD}$

Work Step by Step

Since B is the midpoint of $\overline{AC}$, segment AB is congruent to segment BC. In addition, since C is the midpoint of $\overline{BD}$, segment BC is congruent to segment CD. Using the Transitive Property of Equality. If $\overline{AB}$ is congruent to $\overline{BC}$, and $\overline{BC}$ is congruent to $\overline{CD}$, then $\overline{AB}$ is congruent to $\overline{CD}$.
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