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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Points A and B have symmetry with respect to the x-axis. Find the coordinates of B if A is the point:

a) ( 3 ,   - 4 ) c) ( 0 , a )
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 x-axis.

Explanation

The coordinates of A =3, -4=( x1, y1).

The coordinates of B =(x2, y2).

Conditions for the points are symmetry with respect to the x- axis.

x2 is the same value of x1.

y2 is the same value of y1 and having the opposite sign

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 x-axis.

To determine

(c)

To find:

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

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 x-axis.

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