   Chapter 10.1, Problem 19E 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 a vertical line ( x = a ) or a horizontal line ( y = b ) . Give an equation, such as x = 3 or y = 2 , for the axis of symmetry for:a) A 3 ,   - 4 and B 5 ,   - 4 b) A a ,     0 and B a ,   - b c) A 7 ,   - 4 and B - 3 ,   - 4 d) A a ,   7 and B a ,   - 1

To determine

(a)

To find:

The equation of the axis of symmetry for the given points: A 3, -4 and B 5, -4.

Explanation

The coordinates of A = x1, y1=3, -4.

The coordinates of B =x2, y2=5, -4.

Since the y- coordinates of A and B are same, the axis of symmetry is x- axis

To determine

(b)

To find:

The equation of the axis of symmetry for the given points: A a,  0 and B a, -b

To determine

(c)

To find:

The equation of the axis of symmetry for the given points: A 7, -4 and B -3, -4

To determine

(d)

To find:

The equation of the axis of symmetry for the given points: A a, 7 and B a, -1

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