   Chapter 10.CR, Problem 8CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

The y -axis is the perpendicular bisector of R S - . Find the coordinates of R if S is the point - 3 ,   7 .

To determine

To find:

The coordinates of R if S is the point -3, 7 given that the y-axis is the perpendicular bisector of RS-.

Explanation

The perpendicular bisector is the one which cuts the line into two equal halves.

The line RS- has the coordinates S as -3, 7.

Let the coordinates of R be x2, y2

Given that y-axis is the perpendicular bisector of RS-, thus it makes the point on y-axis at 0, 7.

Take the point 0, 7 as the midpoint of the line RS-.

From midpoint formula,

x1+x22, y1+y22=x, y

Choosing x1=-3, y1=7, x=0, and y=7,

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