Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises - Page 443: 49a

Answer

$(5,4)$

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 $(5,4)$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.