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37 Cards in this Set
- Front
- Back
chord of a circle
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diameter of a circle
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radius of a circle
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central angle
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circumference of a circle
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the distance around the circle
C = πd = 2πr |
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arc
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major arc
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minor arc
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semicircle
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arc with the same measure in the same circle or congruent circles are...
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...congruent.
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2 ways to measure arcs...
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1. Degree measure = measure of the central angle = A
2. Arc length = A / 360 x circumference |
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In the same or congruent circles, two arcs are congruent if and only if...
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...their corresponding angles are congruent.
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adjacent arcs
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Arc Addition Postulate
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The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.
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In a circle or in congruent circles, two minor arcs are congruent if and only if...
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their corresponding cords are congruent.
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inscribed polygon
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circumscribed geometric figure
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In a circle, if a diameter (or radius) is perpendicular to a chord, then...
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In a circle or congruent circles, two chords are congruent if and only if...
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they are equidistant from the center.
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inscribed angle
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intercepted arc
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Inscribed Angle Theorem
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If two inscribed angles of a circle (or congruent circles) intercept congruent arcs or the same arc, then...
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...the angles are congruent
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If an inscribed angle intercepts a semicircle, then...
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If a quadrilateral is inscribed in a circle, then...
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tangent
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point of tangency
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If a line is tangent to a circle, then...
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If two segments from the same exterior point are tangent to a circle, then...
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secant
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If two secants intersect in the interior of a circle, then...
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If a secant and a tangent intersect at the point of tangency, then...
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If two secants, a secant and a tangent, or two tangents intersect in the exterior of a circle, then...
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If two chords intersect in a circle, then...
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If two secant are drawn to a circle from an exterior point, then...
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If a tangent segment and a secant segment are drawn to a circle from an exterior point, then...
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An equation of a circle
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(x - h)² +(y - k)² = r²
center at (h, k) and radius r |