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 374: 40


$CP = 13.2$

Work Step by Step

In a parallelogram, diagonals bisect one another. If diagonal $\overline{CP}$ is bisected by diagonal $\overline{AE}$, then the bisected segments $\overline{CR}$ and $\overline{RP}$ are equal to one another. In this exercise, we want to find $CP$, so we would need to add $CR$ and $RP$ together. If $CR$ and $RP$ both equal $6.6$, then we would add them together to find $CP$: $CP = CR + RP$ Let's plug in what we know: $CP = 6.6 + 6.6$ Add to solve: $CP = 13.2$
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