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    Circle Properties and Missing Values

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

    © BrainMass Inc. brainmass.com October 10, 2019, 7:47 am ad1c9bdddf
    https://brainmass.com/math/circles/circle-properties-missing-values-595027

    Solution Preview

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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
    .
    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.

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