A set of all points a given distance (radius) from a given point, called the center
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Chord
A segment with its endpoints on the circle
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Diameter
The longest chord of a circle that always passes through the center
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Arc
A continuous portion of between two points on the circle
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Semi-circle
An arc that is half a circle, the arc’s endpoints are at the diameter, arc measure is 180°
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Minor Arc
An arc that is smaller than semi-circle, the arc measure is less than 180°
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Major Arc
An arc that is larger than a semi-circle, the arc measure is greater than 180°
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Secant
A line that intersects the circle at exactly two points
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Tangent
A line that intersects the circle at exactly one point or touches the circle at 1 point
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Sector
An area of circle bounded by two radii and an arc
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Tangent Conjecture
A tangent to a circle is perpendicular to the radius drawn to the point of tangency.
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Tangent Segment Conjecture
Tangent segments to a circle from a point outside the circle are congruent.
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Internally Tangent Circle
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Externally Tangent Circle
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Common Internally Tangent Circle
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Common Externally Tangent Circle
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Central Angle
An angle made up of two radius on the circle’s circumference with its vertex at the circle’s center. The measure of the central angle is equal to the measure of its arc.
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Inscribed Angle
An angle made up of two chords with its vertex on the circle’s circumference
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Chord Central Angles Conjecture
If two chords in a circle are congruent, then they determine two central angles that are congruent.
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Chord Arcs Conjecture
If two chords in a circle are congruent, then their intercepted angles are congruent
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Perpendicular to a Chord Conjecture
The perpendicular from the center of a circle to a chord is the bisector of the chord
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Chord Distance to Center Conjecture
Two congruent chords in a circle are equidistant from the center of the circle
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Perpendicular Bisector of a Chord Conjecture
The perpendicular bisector of a chord passes through the center of a circle
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Inscribed Angle Theorem
The measure an inscribed angle is half the measure of its intercepted arc
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Angle Formed by a Chord and a Tangent Conjecture
The measure of an angle formed by a chord and a tangent is half the measure of its intercepted arc
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