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: 8

Answer

trapezoid

Work Step by Step

Lets take A(0,0), B(a,0) then slope of AB= $\frac{0-0}{a-0}$ = 0 Now take D(d,c) and C(b,c) The slope of DC = $\frac{c-c}{b-d}$ = 0 The slopes of AB and DC are equal therefore AB is parallel to DC. Therefore in quadrilateral ABCD, AB||DC,therefore ABCD is a trapezoid.
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