Elementary Geometry for College Students (7th Edition)

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

Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises - Page 451: 49b



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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