Chapter 7.1, Problem 46E

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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 39 and 42, refer to the line segments shown.*

Verify this theorem:

The locus of points equidistant from two fixed points is the perpendicular bisector of the line segment joining those points.

To determine

**To verify:**

The locus theorem which states that the locus of points equidistant from two fixed points is the perpendicular bisector of the line segment joining those points.

Explanation

**Theorem:**

Locus Theorem:

The locus of points equidistant from two fixed points is the perpendicular bisector of the line segment joining those points.

**Calculation:**

Consider a line

To verify the locus theorem, follow the below procedure:

1. Take

2. Take

3. Name the intersection point as

4. Draw a line perpendicular to the line

From the figure, we find that

Sect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10E

Sect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.1 P-45ESect-7.1 P-46ESect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 P-14ESect-7.2 P-15ESect-7.2 P-16ESect-7.2 P-17ESect-7.2 P-18ESect-7.2 P-19ESect-7.2 P-20ESect-7.2 P-21ESect-7.2 P-22ESect-7.2 P-23ESect-7.2 P-24ESect-7.2 P-25ESect-7.2 P-26ESect-7.2 P-27ESect-7.2 P-28ESect-7.2 P-29ESect-7.2 P-30ESect-7.2 P-31ESect-7.2 P-32ESect-7.2 P-33ESect-7.2 P-34ESect-7.2 P-35ESect-7.2 P-36ESect-7.2 P-37ESect-7.2 P-38ESect-7.2 P-39ESect-7.2 P-40ESect-7.2 P-41ESect-7.2 P-42ESect-7.2 P-43ESect-7.2 P-44ESect-7.3 P-1ESect-7.3 P-2ESect-7.3 P-3ESect-7.3 P-4ESect-7.3 P-5ESect-7.3 P-6ESect-7.3 P-7ESect-7.3 P-8ESect-7.3 P-9ESect-7.3 P-10ESect-7.3 P-11ESect-7.3 P-12ESect-7.3 P-13ESect-7.3 P-14ESect-7.3 P-15ESect-7.3 P-16ESect-7.3 P-17ESect-7.3 P-18ESect-7.3 P-19ESect-7.3 P-20ESect-7.3 P-21ESect-7.3 P-22ESect-7.3 P-23ESect-7.3 P-24ESect-7.3 P-25ESect-7.3 P-26ESect-7.3 P-27ESect-7.3 P-28ESect-7.3 P-29ESect-7.3 P-30ESect-7.3 P-31ESect-7.3 P-32ESect-7.3 P-33ESect-7.3 P-34ESect-7.3 P-35ESect-7.3 P-36ESect-7.CR P-1CRSect-7.CR P-2CRSect-7.CR P-3CRSect-7.CR P-4CRSect-7.CR P-5CRSect-7.CR P-6CRSect-7.CR P-7CRSect-7.CR P-8CRSect-7.CR P-9CRSect-7.CR P-10CRSect-7.CR P-11CRSect-7.CR P-12CRSect-7.CR P-13CRSect-7.CR P-14CRSect-7.CR P-15CRSect-7.CR P-16CRSect-7.CR P-17CRSect-7.CR P-18CRSect-7.CR P-19CRSect-7.CR P-20CRSect-7.CR P-21CRSect-7.CR P-22CRSect-7.CR P-23CRSect-7.CR P-24CRSect-7.CR P-25CRSect-7.CR P-26CRSect-7.CR P-27CRSect-7.CR P-28CRSect-7.CR P-29CRSect-7.CR P-30CRSect-7.CR P-31CRSect-7.CR P-32CRSect-7.CR P-33CRSect-7.CR P-34CRSect-7.CT P-1CTSect-7.CT P-2CTSect-7.CT P-3CTSect-7.CT P-4CTSect-7.CT P-5CTSect-7.CT P-6CTSect-7.CT P-7CTSect-7.CT P-8CTSect-7.CT P-9CTSect-7.CT P-10CTSect-7.CT P-11CTSect-7.CT P-12CTSect-7.CT P-13CTSect-7.CT P-14CTSect-7.CT P-15CTSect-7.CT P-16CTSect-7.CT P-17CT

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