a segment whose endpoints are the center and any point on the circle
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Chord
a segment whose endpoints are on a circle
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diameter
a chord that contains the center of the circle
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Secant
A line that intersects a circle in two points
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Tangent
A line in the plane of a circle that intersects the circle in exactly one point.
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point of tangency
the point where a circle and a tangent intersect
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Arc
a portion of the edge of the circle
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Minor Arc
an arc that measures less than 180 degrees
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Major Arc
an arc that measures greater than 180 degrees
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Semicircle
an arc with endpoints that are the endpoints of a diameter
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Central Angle
an angle whose vertex is the center of the circle
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inscribed angle
an angle whose vertex is on the circle and whose sides pass through the endpoints of the arc
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intercepted arc
The arc that lies in the interior of an inscribed angle and has endpoints on the angle.
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arc measure
The measure of the central angle that intercepts an arc, measured in degrees.
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tangent segment
a line segment that lies on a tangent line with one endpoint at the point of tangency
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Tangent circles
circles that are tangent to the same line at the same point
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inscribed polygon
A polygon in which all of the vertices lie on a circle
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circumscribed circle
the circle that contains the vertices of an inscribed polygon
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cyclic quadrilateral
A quadrilateral that can be inscribed in a circle
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A tangent to a circle is \____________ to the radius drawn from the point of tangency
perpendicular
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21
Tangent segments to a circle from a point outside the circle are
congruent
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Congruent chords form congruent ?
arcs
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If a diameter of a circle is perpendicular to a chord, then the diameter \___?\_____ the chord and its arc.
bisects
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Two chords are congruent if they are \____?\_____ from the center
equidistant
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The perpendicular bisector of a chord passes through the \___?\____ of the circle
center
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If two chords in a circle are congruent, then they determine two central angles that are \___?\_____
congruent
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the measure of an angle inscribed in a circle is
one
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inscribed angles that intercept the same arc are
congruent
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Angles inscribed in a semicircle are
right angles
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The opposite angles of a cyclic quadrilateral are
supplementary
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parallel lines intercept \___?\___ arcs on a circle
congruent
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if two chords interest inside a circle, then the measure of each angle is
one
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If a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of the angle formed is
one
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If two chords intersect in the interior of a circle
then the product of the lengths of the segments is equal to the product of the lengths of the segments of the other chords.
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If two secant segments share the same endpoint outside a circle
then the product of lengths of one secant segment and its external secant segment equals the product of the lengths of the other secant segment and its external segment
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Circumference
the perimeter of a circle, the distance around the circle
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Pi
The ratio of the circumference of a circle to its diameter
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Length of an arc
(central angle/360) x 2πr
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angular velocity
rate of change with respect to time (degrees per unit of time)
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tangential velocity
The speed of an object at a point as it moves around the circumference of a circle (measure of length per unit of time)
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