   Chapter 7.1, Problem 14E 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

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 fixed points A and B .

To determine

To find:

The locus of points that are equidistant from two fixed points A and B.

Explanation

Definition:

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: Locate two arbitrary points as fixed points A and B and join them by a straight line (shown in black).

Step 2: Locate the midpoint of the line AB.

Step 3: Draw a line perpendicular to the line AB.

Step 4: Locate any point O on the perpendicular line (shown in red).

Step 5: Draw the lines AO and BO and measure the distance AO and BO

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