Circle Properties and Missing Values
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Please help describe how to solve problems based on circle properties and circle rules.
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Solution Summary
This lesson explains how to solve circle problems using the circle properties and missing values.
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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 ...
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