Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.3 - Preparing to Do Analytic Proofs - Exercises - Page 467: 18b

Answer

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

Work Step by Step

An ideally placed rectangle, which we will call rectangle ABCD, should have point A placed at the origin, side AB be on the y-axis, and side AD be on the x-axis. Calling the length of AD 2b and calling the length of AB 2a, we obtain: $A: 0,0 \\ B: 0,2a \\ C: 2b,2a \\ D: 2b,0$ Note, we call the lengths 2a and 2b because the book asks for the lengths of half of each side, so we call the length of half of AB length a and the length of half of AD b.
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