   Chapter 10.1, Problem 11E 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

Points A and B have symmetry with respect to the origin O.Find the coordinates of B if A is the point: a) ( 3 ,   - 4 ) c) ( a ,   0 ) b) ( 0 ,   2 ) d )   ( b , c )

To determine

(a)

To find:

The coordinates of B if A is the given point (3, -4) and the points are symmetry with respect to the origin O.

Explanation

The coordinates of A is (3, -4).

The coordinates of B is (x2, y2).

And the points are symmetry with respect to the origin (0, 0).

Hence, (0, 0) is the midpoint of the points A and B.

Determining coordinates of B using midpoint formula,

xm,ym=x1+x22,y1+y22

xm,ym are the midpoints.

x1, y1=(3, -4)

xm,ym=(0, 0)

To determine

(b)

To find:

The coordinates of B if A is the given point (0, 2) and the points are symmetry with respect to the origin O.

To determine

(c)

To find:

The coordinates of B if A is the given point (a,0) and the points are symmetry with respect to the origin O.

To determine

(d)

To find:

The coordinates of B if A is the given point (b,c) and the points are symmetry with respect to the origin O.

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