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 474: 22b

Answer

$A: 0,0 \\ B: 2c,2d \\ C: 2b,2d \\ D: 2a,0 $

Work Step by Step

An ideally placed trapezoid, which we will call trapezoid ABC, should have point A placed at the origin and side AD be on the x-axis. Calling the length of AD "2a," the x-value of C 2b, and point B (2c,2d), we obtain: $A: 0,0 \\ B: 2c,2d \\ C: 2b,2d \\ D: 2a,0 $ Note, we double all of the numbers from last problem, for the book wants midpoints, which are equal to the length of half of a side.
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