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A segment whose endpoints are points on a circle. |
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A line that intersects a circle in two points. |
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A line in the plane of a circle that intersects the circle in exactly one point, called a point of tangecy. |
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The point on a tangent that intersects the circle. |
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A segment that touches a circle at one of the segment's endpoints and lines in the line that is tangent to the circle at that point. |
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Points A and B on a circle C determine a minor arc and a major arc. If the measure of angle ACB is less than 180, then A, B, and all the points on circle C that lie in the interior of angle ACB form a minor arc. |
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Points A and B on a circle C determine a minor arc and a major arc. Points A, B, and all the points of circle C that do not lie on AB form a major arc. |
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The measure of its central angle. |
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The difference of 360 degrees and the measure of the related minor arc. |
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An arc whose central angle measures 180 degrees. |
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Two circles that have the same radius. |
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Two arcs of the same circle or of congruent circles that have the same measure. |
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A portion of the circumfrence of a circle. |
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An angle whose vertex is on a circle and whose sides contain chords of the circle. The arc that lies in the interior of an inscribed angle and has endpoints on the angle is the intercepted arc. |
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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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If all the vertices of a polygon lie on a circle. |
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Circle is circumscribed about a polygon. |
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Standard equation of a circle |
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In the coordinate plane, the standard equation of a circle with a center at (h,k) and radius r is
(x-h)2+(y-k)2=r2 |
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A transformation in which a figure is turned about a fixed point, called the center of rotation. Rays drawn from the center of rotation to a point and its image form an angle called the angle of rotation. |
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A transformation in which a figure is turned about a fixed point. |
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Rays drawn from the center of rotation to a point and its image. |
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A figure in the plane has rotational symmetry if the figure can be mapped onto itself by a rotation of 180 degrees or less. |
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