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Cir_Angle_Theorems

TermDefinition
A tangent and a radius (tangent) will be perpendicular at the point of tangency
Tangent segments from a common external point (tangent) are congruent
central angle angle with a vertex at the center
semicircle arc whose endpoints are a diameter
arc unbroken part of the circle
minor arc if angle ACB < 180. Will be named AB
major arc if angle ACB > 180. Will be named ABC
2 minor arcs are congruent (chords) if their chords are congruent
One chord is a perpendicular bisector of another (chords) the first chord is a diameter
diameter chord that passes through the center of the circle
chord segment that has endpoints on the edge of a circle
2 chords are congruent (chords) if they are equal distance from the center
inscribed angle an angle whose vertex is on a circle and whose sides contain chords
measure of an inscribed angle (inscribed angles) 1/2 the measure of the intercepted arc
2 inscribed angles intercept the same arc (inscribed angles) the angles are congruent
an inscribed angle is a right angle (inscribed angles) hypotenuse is the diameter of the circle
an inscribed quadrilateral (inscribed angles) opposite angles are supplementary
tangent and chord intersect at a point the measure of each angle is half of its intercepted arc
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
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.
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
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
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
circumference (length) distance around a circle (pi * 2r) or (pi * d)
circumference (degrees) 360- The ratio of the arc to the circumference equals the ratio of the angle to 360
Created by: jaredlovering