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27 Cards in this Set
- Front
- Back
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Circle def
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A group of all points in a plane that are equidistant around a given point
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Radius def
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A segment with endpoints that are the center of the circle and the point on the circle. All radii are congruent
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Chord def
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Any segment whose endpoints are on the circle
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Diameter def
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A chord that passes through the center of the circle (longest chord)
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Circumference
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the distance around a circle (the circle's perimeter)
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C=
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Pi x the diameter
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Central Angle
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An angle formed by 2 radii and the vertex is at the center of the circle
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The sum of the central angle angles with no common points is...
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360!
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Arc def
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An unbroken part of a circle
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the measure of the arc is equal to
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the central angle
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Minor arc
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- LESS THAN 180 degrees, named with two letters
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Major Arc
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more than 180 degrees, named with three letters
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Semicircle
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a 180 degree arc formed by a diameter, named with three letters
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Adjacent arcs
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arcs that have exactly one point in common
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Arc Addition postulate
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two arcs can be added together to make a larger arc
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Length of an arc
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Pi x Diameter= cricumference...so, Pi(d) (x/360)= length of the arc
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In a circle, or in congruent circles, two minor arcs are congruent IFF
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their corresponding chords are congruent
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IN a circle, if a diameter or radius is perpendicular to a chord, then...
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it bisects that chord and it's arc.
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In a circle, or in two congruent circles, two chords are concruent IFF
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they are equidistant from the center of the circle.
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Inscribed angle
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An angle formed by two chords whose vertex is on the circle
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The measure of an inscribed angle is
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equal to the measure of its arc
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If 2 inscribed angles in the same circle (or in two congruent circles) intercept the same arcs (or congruent arcs)
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then the 2 angles are congruent
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If an angle intercepts a semicircle, then
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that angle is a right angle.
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If a quadrilateral is inscribed in a circle,
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then the opposite angles are supplementary
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Secant
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A line that intersects a circle in two points
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Tangent
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A line in the plane of a circle that intersects the circle in exactly one point called the point of tangency.
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Point of tangency
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The point where a tangent intersects a circle.
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