Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - Get Ready! - Page 349: 4

Answer

$\overline{AB}$ is parallel to $\overline{CD}$.

Work Step by Step

We could call $\angle ABC$ and $\angle DCB$ alternate interior angles. If two lines or line segments are cut by a transversal, and alternate interior angles are equal, then those lines or line segments are parallel. We see from the diagram that $\angle ABC$ and $\angle DCB$ are congruent; therefore, $\overline{AB}$ is parallel to $\overline{CD}$.
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