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### 30 Cards in this Set

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 Circle the set of all points in a plane that are equidistant from a given point called the center. Radius The distance from the center to a point on the circle Two circles are congruent if they have the same... radius Diameter Distance across the circle, a chord that passes through the center Secant A line that intersects a circle in two points Tangent A line in a plane of a circle that intersects the circle in exactly one point Tangent circles Coplanar circles that intersect in one point Concentric Coplanar circles that have a common center Common tangent A line or segment that is tangent to two coplanar circles Common internal tangent Intersects the segment that joins the centers of two circles Common external tangent Does not intersect the segment that joins the centers of the two circles Central angle An angle whose vertex is the center of a circle Minor arc Less than 180 degrees Major arc More than 180 degrees Point of tangency Point at which a tangent line intersects the circle to which it is tangent Semicircle The endpoints of an arc are the endpoints of a diameter Congruent arcs Two arcs of the same circle or of congruent circles are congruent arcs if they have the same measure Inscribed angle an angle whose vertex is on a circle and whose sides contain chords of the circle Intercepted arc the arc that lies in the interior of an inscribed angle and has endpoints on the angle THEOREM 10.1 If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency THEOREM 10.2 In a plane, if a line is perpendicular to a radius of a circle at its endpoint on the circle, then the line is tangent to the circle THEOREM 10.3 If two segments from the same exterior point are tangent to a circle, then they are congruent THEOREM 10.4 In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent THEOREM 10.5 If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc THEOREM 10.6 If one chord is a perpendicular bisector of another chord, then the first chord is a diameter THEOREM 10.7 In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center. THEOREM 10.8 If an angle is inscribed in a circle, then its measure is half the measure of its intercepted arc THEOREM 10.9 If two inscribed angles of a circle intercept the same arc, then the angles are congruent. THEOREM 10.10 Right triangle, hypotenuse is diameter, and angle opposite is 90 degrees THEOREM 10.11 Quadrilateral can only be inscribed if its opposited angles are supplementary