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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Note: Exercises preceded by an asterisk are of a more challenging nature.

In Exercises 11 to 22, sketch and describe each locus in the plane.

Find the locus of points that are equidistant from two given parallel lines.

To determine

To find:

The locus of points that are equidistant from two given parallel lines.

Explanation

Approach:

A locus is set of all points and only those points that satisfy a given condition or set of conditions.

In must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

Step 1: Construct a line AB as shown below:

Step 2: Construct another line at a distance of d from the line AB.

Step 3: Draw a line EF at a distance of d2 from the line AB as shown in the figure.

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