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20 Cards in this Set
- Front
- Back
common tangent
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a line or segment that is tangent to 2 circle
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common externals
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segment that does not intersect the segment that joins the center
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theorem 10.1
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If a line is tangent to a circle , then it is perpendicular to the radius drawn from the point of tangency
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theorem 10.2
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If a line is perpendicular to a radius of a circle at its endpoints on the circle, then the live is tangent to the circle
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central arc
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angle whose vertex is the center of a circle
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minor arc
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when the measure of the center angle is less then 180
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major arc
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point A and B on the exterior of <APB; ACB arc
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semicircle
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Arc whose endpoints are the endpoints of the diameter
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measure of minor arc
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measure of the central circle
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measure of major arc
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360 - minor arc
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arc addition postulate
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the measure of an arc formed 2 adjacent is the sum of the measures of the 2 arcs
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congruent arcs
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arcs of the same circle with the same measure
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Inscribed arc
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an angle whose vertex is on the circle and whose sides contain chords of the circle
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Intercepted arcs
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arc that lies in the interior of an inscribed angle and has endpoints in an angle
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theorem 10.8
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measure of an inscribed < , if and < is inscribed in a circle then it's measure is 1/2 the measure of its intercepture
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theorem 10.9
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If 2 inscribed < of a circle intercept the same arc, then the angles are congruent
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theorem 10.10
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if a right angle is inscribed in a circle then the hypotenuse is a diameter of the circle
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theorem 10.10 converse
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If one side of an inscribed triangle is a diameter of the circle, then the triangle is a right triangle and the < opposite the diameter is the right triangle
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theorem 10.11
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A quadrilateral can be inscribed in a circle if and only if its opposite <s are suppelmentary
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theorem 10.12
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if a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is 1/2 the measure of its intercepted arc
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