   Chapter 10.1, Problem 18E 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 either the x-axis or the y-axis. Name the axis of symmetry for: a) A 3 ,   - 4 and B 3 ,   4 c) A 3 ,   - 4 and B - 3 ,   - 4 b) A 2 ,   0 and B - 2 ,   0 d) A a ,   b a n d   B a ,   - b

To determine

(a)

To find:

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

Explanation

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

The coordinates of B =3,  4=(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.

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

x2 is the same value of x1 and having the opposite sign

To determine

(b)

To find:

The axis of symmetry for the given points: A 2, 0 and B -2, 0.

To determine

(c)

To find:

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

To determine

(d)

To find:

The axis of symmetry for the given points: A a, b and Ba, -b.

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