   Chapter 10.1, Problem 22E 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

In Exercises 20 to 22, apply the Midpoint Formula.A circle has its center at the point - 2 ,   3 . If one endpoint of the diameter is at 3 ,   - 5 , find the other endpoint of the diameter.

To determine

To find:

The other end of the diameter for the circle which is centred at the point -2, 3 and the one end of the diameter is 3, -5.

Explanation

Let one endpoint of the diameter is A =3, -5

Let other endpoint of the diameter B is (x2, y2).

Center point of the circle is -2, 3

Midpoint of the points A and B is M -2, 3

Determining coordinates of B using midpoint formula,

xm,ym=x1+x22,y1+y22

xm,ym are the midpoints.

x1, y1=(3, -5)

xm,ym=(-2, 3)

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