# Circle Properties and Missing Values

Please help describe how to solve problems based on circle properties and circle rules.

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Solve problems and justify arguments about chords and lines tangent to circles

Let's take a quick review on a few parts of a circle.

Circle

The locus of a point, which moves such that its distance from a fixed point always a constant.

The fixed point is called its center and the constant distance is called its radius.

The boundary of the circle is called its circumference.

Chord

A line segment whose end points lie on the circumference of the circle is called a chord.

AB is the chord.

Let's review the properties related to the chord.

Property 1:

In a circle, chords equidistant from the center are congruent.

Property 2:

In a circle, congruent chords are equidistant from the center.

Property 3:

A perpendicular line drawn from the center of a circle to a chord bisects the chord.

Property 4:

The line joining the center and the midpoint of a chord is perpendicular to the chord.

Tangent

A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point.

The line m is called the tangent line.

Point of tangency

The point where a circle and a tangent intersect is the point of tangency.

The point A is called the point of tangency

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Now let's review the properties related to ...

#### Solution Summary

This lesson explains how to solve circle problems using the circle properties and missing values.