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42 Cards in this Set
- Front
- Back
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circle
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the set of all points in a plane that are equidistant from a given point
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center
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the point that the set of points are equidistant to
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radius
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a segment whose endpoints are the center and any point on the circle
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chord
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a segment whose endpoints are on a circle
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diameter
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a chord that contains the center of the circle
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secant
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a line that intersects a circle in two points
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tangent
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a line in the plane of a circle that intersects the circle in exactly one point
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point of tangency
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the point at which a tangent intersects the circle
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example of chord, radius, diameter, and center
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example of secant, tangent, and point of tangency
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theorem 10.1
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theorem 10.2
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central angle
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(of a circle) is an angle whose vertex is the center of the circle
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minor arc
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an arc that measures less than 180 degrees
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major arc
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the rest of the circle that isn't the minor arc
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semicircle
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an arc with endpoints that are at the end points of a diameter
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measuring arcs example
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postulate 23: Arc Addition Postulate
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theorem 10.3
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theorem 10.4
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theorem 10.5
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theorem 10.6
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inscribed angle
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an angle whose vertex is on a circle and whose sides contain chords of the circle
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intercepted angle
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the arc that lies in the interior of an inscribed angle and has endpoints on the angle
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theorem 10.7: Measure of an Inscribed Angle Theorem
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theorem 10.8
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inscribed polygon
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a polygon where all vertices lie on a circle
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circumscribed circle
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a circle that contains the vertices of a shape
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theorem 10.9
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theorem 10.10
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theorem 10.11
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theorem 10.12
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theorem 10.13
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theorem 10.14
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segments of a chord
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the two segments of each chord formed when two chords intersect in the interior of a circle
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secant segment
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a segment that contains a chord of a circle, and has exactly one endpoint outside the circle
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external segment
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the part of a secant segment that is outside the circle
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theorem 10.15: Segments of Secants Theorem
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theorem 10.16: Segments of Secants and Tangents Theorem
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locus
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a locus in a plane is the set of all points in a plane that satisfy a given condition or set of given conditions
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the equation of a circle with radius=r and center at the origin
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x²+y²=r²
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the standard equation of a circle
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(x-h)²+(y-k)²=r²
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