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: 49a



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 90 degrees on the coordinate plane. After all, after rotating 90 degrees in the counterclockwise direction, $(3,2)$ will be at the same height as $(3,4)$, so it will have a y value of 4. Since it starts two away from $(3,4)$, it must end two to the right of $(3,4)$, meaning that the x value is 5 and that the point is $(5,4)$.
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