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Geometry Unit 10

Circle the set of all points in a plane that are equidistant from a given point called the center
Center The point that is equidistant to the set of points
Radius A segment whose endpoints are the center and any point on a circle
Chord A segment whose endpoints are on a circle
Diameter A chord that contains the center of the circle
Secant A line that intersects a circle in two points
Tangent A line in the plane of a circle that intersects the circle in exactly one point
Point of Tangency The point in which the tangent intersects the circle
Tangent Circles Coplanar Circles that intersect in one point
Concentric Circles Coplanar Circles that have a common center
Common External Tangent A tangent that does not intersect the segment that joins the centers
Common Internal Tangent A tangent that intersects the segment that joins the centers
Tangent Line to Circle Theorem In a plane, a line is tangent if and only if the line is perpendicular to a radius of the circle at its endpoint on the circle.
External Tangent Congruence Theorem Tangent Segments that form a common external point are congruent.
Central Angle An angle whose vertex is the center of a circle
Minor Arc Is less than 180 degrees
Major Arc Is more than 180 Degrees
Arc Addition Postulate The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs
Congruent Circles Theorem Two circles are congruent circles if and only if they have the same radius
Congruent Central Angles Theorem In the same circle or in congruent circles two minor arcs are congruent if an only if their corresponding central angles are congruent.
Created by: Camille G
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