Elementary Geometry for College Students (5th Edition)

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

Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises - Page 458: 47b

Answer

$(5,8)$

Work Step by Step

A good way to do this problem is to graph the points on a coordinate plane and then to rotate $(3,2)$ by 180 degrees on the coordinate plane. After all, after rotating 180 degrees, $(3,2)$ will be 3 above the point $(4,5)$, for it started three below this point. Thus, the y value is 8. The x value began one to the left of the original point, so it ends one two the right of $(4,5)$, so it has a value of 5, meaning that the point is $(5,8)$
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