   Chapter 7.1, Problem 16E 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 the midpoints of the radii of the circle O that has a radius of length 8 cm.

To determine

To find:

The locus of the midpoints of the radii of the circle O that has a radius of length 8 cm.

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 a circle O (black in colour) of radius 8 cm by taking A as center.

Step 2: It is given that the locus of the midpoints of the radii of the circle O that has a radius of length 8 cm. So draw another circle B (red in colour) of radius 4 cm by taking A as center

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