Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 10 - Section 10.3 - Preparing to Do Analytic Proofs - Exercises - Page 473: 7

Answer

parallelogram

Work Step by Step

let us take M(0,0) and N(a,0) Then slope of MN = $\frac{0-0}{a-0}$ = 0 Similarly slope of QP = $\frac{c-c}{a+b-b}$ =0 Therefore MN and QP are parallel because there slopes are equal. Slope of MQ = $\frac{c-0}{b-0}$ = $\frac{c}{b}$ Slope of PN = $\frac{0-c}{a-a-b}$ = $\frac{c}{b}$ Therefore MQ and PN are parallel because there slopes are equal. In MNQP quadrilateral opposite sides are parallel to each other.
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