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24 Cards in this Set
- Front
- Back
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Circle
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Set of all points in a plane such that the points are equidistant from a fixed point called a center
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Radius
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A line segment from the center of the circle to any point of the circle
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Chord
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a line segment whose endpoints are both on the circle.
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Tangent
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A line that intersects the circle at exactly one point.
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Secant
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a line that intersects the circle at two points.
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Central Angle
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An angle whose vertex is that the center.
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Inscribed Angle
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an angle whose vertex is on the circle and whose sides contain chords of the circle
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Arc
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A segment of a circle
Minor Arc: An arc that is less than half the circle Major Arc: An arc that is more than half the circle Use the endpoints and the other point to name |
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Intercepted Arc
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each endpoint is on a different ray of an angle and the other points are on the interior of the angle.
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Quadrant
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One quarter of a circle
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Central Angle Rule
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The degree of an arc is equal to the central angle that intercepts that arc.
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The measure of an inscribed angle is...
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one half of the measure of its intercepted arc.
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In a circle, or in 2 congruent circles, congruent central angles have...
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congruent chords
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In a circle, or in 2 congruent circles, congruent arcs have...
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congruent chords
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A diameter perpendicular to a chord...
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bisects the chord and its arcs.
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Two inscribes angles that have the same arc are...
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congruent
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Tangent segments drawn to a circle from the same external point are...
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Congruent
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The angle formed by a tangent and a chord intersecting at the point of tangency is...
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equal to one half the measure of the intercepted arc.
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The angle formed by two chords intersecting within a circle is equal to...
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one half the sum of the measures of the arc intercepted by the angle and its vertical angle.
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The angle formed by a tangent and a secant, or two secants, or two tangents intersecting outside a circle is equal to...
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one half the difference of the measures of the intercepted arcs.
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If a line is tangent to a circle, the line is {blank} to the radius drawn to the point of tangency
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perpendicular
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If two chords intersect within a circle, the product of the measures of the segments of one of the chords...
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equals the product of the measures of the line segments of the other.
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If a tangent and a secant are drawn from an external point, then the square of the tangent is...
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equal to the product of the measure of the secant and its external segment.
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If two secants intersect outside a circle, then the product of the measures of one secant segment and its external is...
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equal of the other secant segment and its external.
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