## Elementary Geometry for College Students (7th Edition)

Published by Cengage

# Chapter 4 - Section 4.1 - Properties of a Parallelogram - Exercises - Page 188: 5

#### Answer

(a) $QR = 6.4$ (b) $MP = 10.6$

#### Work Step by Step

(a) The diagonals of a parallelogram bisect each other. Therefore the point R is the midpoint of $\overline{QN}$ We can find $QR$: $QR = \frac{QN}{2} = \frac{12.8}{2} = 6.4$ (b) The diagonals of a parallelogram bisect each other. Therefore the point R is the midpoint of $\overline{MP}$ We can find $MP$: $MP = 2\times MR = (2)(5.3) = 10.6$

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