Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - Mid-Chapter Quiz - Page 398: 8


This quadrilateral is a parallelogram. $y = 4$ $x = 2$

Work Step by Step

This quadrilateral is a parallelogram because opposites sides are parallel. The diagonals of a parallelogram bisect one another. Let's set the segments of each diagonal equal to one another: $6 = 2y - 2$ Add $2$ to each side of the equation to move constants to one side of the equation: $2y = 8$ Divide each side of the equation by $2$ to solve for $y$: $y = 4$ Let's set the two segments of the other diagonal equal to one another to solve for $x$: $2x = y$ Replace $y$ with $4$: $2x = 4$ Divide both sides by $2$ to solve for $x$: $x = 2$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.