   Chapter 10.1, Problem 3E 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

Find the distance between each pair of points: a) 5 , - 3 and 5, 1 c) 0, 2 and 0 , - 3 b) - 3, 4 and 5, 4 d) - 2, 0 and 7, 0

To determine

(a)

To find:

The distance between points 5,-3 and 5, 1.

Explanation

Formula:

For same y-coordinates, y1=y2.

The distance between the points A(x1,y1) and B(x2,y1) on a horizontal line segment is,

AB=x2-x1 if x2>x1

or

AB=x1-x2 if x1>x2

For same x-coordinates, x1=x2.

The distance between the points A(x1,y1) and B(x1,y2) on a vertical line segment is,

AB=y2-y1 if y2>y1

or

AB=y1-y2 if y1>y2

The given pointsare 5,-3 and 5, 1

To determine

(b)

To find:

The distance between points -3, 4 and 5, 4.

To determine

(c)

To find:

The distance between points 0, 2 and 0,-3.

To determine

(d)

To find:

The distance between points -2, 0 and 7, 0.

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