   Chapter 10.1, Problem 16E 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 vertical line where x = 2 . Find the coordinates of A if B is the point: a) ( 5 ,   1 ) c) ( - 6 , a ) b) ( 0 ,   5 ) d) ( b ,   c )

To determine

(a)

To find:

The coordinates of A, if B is the given points (5, 1). The points A and B are symmetry with respect to the vertical line where x=2.

Explanation

The coordinates of B =5, 1=(x2, y2).

The coordinates of A =( x1, y1).

Conditions for the points are symmetry with respect to the vertical line where x=2.

Hence, y=0

Midpoints xm,ym=(2, 0)

x1+x22=xm

x1+52=2

To determine

(b)

To find:

The coordinates of A, if B is the given points (0, 5). The points A and B are symmetry with respect to the vertical line where x=2.

To determine

(c)

To find:

The coordinates of A, if B is the given points (-6,a). The points A and B are symmetry with respect to the vertical line where x=2.

To determine

(c)

To find:

The coordinates of A, if B is the given points (b, c). The points A and B are symmetry with respect to the vertical line where x=2.

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