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 - Review Exercises - Page 494: 8

Answer

(3, 7)

Work Step by Step

Given: The y axis is the perpendicular bisector of Line Segment AB. Find the coordinates of R if S is the point (-3, 7). As y-axis is the Perpendicular bisector of Line Segment AB, Line Segment AB has to be Parallel to the x-axis. One end of the line segment is given as (-3, 7) so the other end would simply be a "Reflection" of the given value. This is because y-axis is the perpendicular bisector of the given line segment. Therefore, the coordinates of point S would be (3, 7). Reflection over y-axis: $ (x, y) => (-x, y) $
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