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### 24 Cards in this Set

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 Circle def A group of all points in a plane that are equidistant around a given point Radius def A segment with endpoints that are the center of the circle and the point on the circle. All radii are congruent Chord def Any segment whose endpoints are on the circle Diameter def A chord that passes through the center of the circle (longest chord) Circumference the distance around a circle (the circle's perimeter) C= Pi x the diameter Central Angle An angle formed by 2 radii and the vertex is at the center of the circle The sum of the central angle angles with no common points is... 360! Arc def An unbroken part of a circle the measure of the arc is equal to the central angle Minor arc - LESS THAN 180 degrees, named with two letters Major Arc more than 180 degrees, named with three letters Semicircle a 180 degree arc formed by a diameter, named with three letters Adjacent arcs arcs that have exactly one point in common Arc Addition postulate two arcs can be added together to make a larger arc Length of an arc Pi x Diameter= cricumference...so, Pi(d) (x/360)= length of the arc In a circle, or in congruent circles, two minor arcs are congruent IFF their corresponding chords are congruent IN a circle, if a diameter or radius is perpendicular to a chord, then... it bisects that chord and it's arc. In a circle, or in two congruent circles, two chords are concruent IFF they are equidistant from the center of the circle. Inscribed angle An angle formed by two chords whose vertex is on the circle The measure of an inscribed angle is equal to the measure of its arc If 2 inscribed angles in the same circle (or in two congruent circles) intercept the same arcs (or congruent arcs) then the 2 angles are congruent If an angle intercepts a semicircle, then that angle is a right angle. If a quadrilateral is inscribed in a circle, then the opposite angles are supplementary