Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - 6-3 Proving That a Quadrilateral Is a Parallelogram - Practice and Problem-Solving Exercises - Page 373: 18

Answer

a. This is the reverse of the distributive property. b. Division property c. $\overline{AB} \parallel \overline{DC}$, $\overline{AD} \parallel \overline{BC}$ d. Same-side interior angles are supplementary. e. Definition of a parallelogram

Work Step by Step

a. This is the reverse of the distributive property. b. Division property c. $\overline{AB} \parallel \overline{DC}$, $\overline{AD} \parallel \overline{BC}$ d. Same-side interior angles are supplementary. e. Definition of a parallelogram: if both pairs of opposite sides are parallel, then that quadrilateral is a parallelogram.
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