Chapter 7.1, Problem 19E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

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 intersecting lines.

To determine

**To find:**

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

Explanation

**Approach:**

The locus of points in a plane that are equidistant from the endpoints of a line segment is the perpendicular bisector of that line segment.

**Calculation:**

Step 1: Construct two intersecting lines AB and CD.

Step 2: Construct a line perpendicular to AB and construct anther line perpendicular to CD. These two lines (red dashed lines) meet at a point E.

Thus, the locus of points equidistant from two given intersecting lines is two perpendicular line that bisect the angles formed by the two intersecting lines as shown in figure...

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