Cir_Angle_Theorems
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each of the black spaces below before clicking
on it to display the answer.
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| A tangent and a radius (tangent) | will be perpendicular at the point of tangency
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| Tangent segments from a common external point (tangent) | are congruent
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| central angle | angle with a vertex at the center
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| semicircle | arc whose endpoints are a diameter
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| arc | unbroken part of the circle
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| minor arc | if angle ACB < 180. Will be named AB
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| major arc | if angle ACB > 180. Will be named ABC
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| 2 minor arcs are congruent (chords) | if their chords are congruent
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| One chord is a perpendicular bisector of another (chords) | the first chord is a diameter
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| diameter | chord that passes through the center of the circle
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| chord | segment that has endpoints on the edge of a circle
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| 2 chords are congruent (chords) | if they are equal distance from the center
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| inscribed angle | an angle whose vertex is on a circle and whose sides contain chords
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| measure of an inscribed angle (inscribed angles) | 1/2 the measure of the intercepted arc
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| 2 inscribed angles intercept the same arc (inscribed angles) | the angles are congruent
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| an inscribed angle is a right angle (inscribed angles) | hypotenuse is the diameter of the circle
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| an inscribed quadrilateral (inscribed angles) | opposite angles are supplementary
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| tangent and chord intersect at a point | the measure of each angle is half of its intercepted arc
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| 2 chords intersect inside a circle (angles) | measure of each angle is half the sum (+) of the arcs intercepted by the angle and its vertical angle
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| tangent and a secant, 2 tangents, or 2 secants intersect outside a circle | the measure the the angle formed is half the difference (-) of the measures of the intercepted arcs.
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| 2 chords intersect inside a circle (length) | product (x) of the lengths of the segments of one chord equals the product of the lengths of the other
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| 2 secant segments share the same endpoint outside the circle (length) | the product (x) of the lengths of one entire secant and its external segment equals the product of the length of the other secant and its outside segment
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| a secant segment and a tangent segment share an outside endpoint (length) | product (x) of the lengths of the entire secant and its outside segment equals the length of the tangent segment squared
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| circumference (length) | distance around a circle (pi * 2r) or (pi * d)
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| circumference (degrees) | 360- The ratio of the arc to the circumference equals the ratio of the angle to 360
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Created by:
jaredlovering
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