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20 Cards in this Set
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common tangent

a line or segment that is tangent to 2 circle


common externals

segment that does not intersect the segment that joins the center


theorem 10.1

If a line is tangent to a circle , then it is perpendicular to the radius drawn from the point of tangency


theorem 10.2

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


central arc

angle whose vertex is the center of a circle


minor arc

when the measure of the center angle is less then 180


major arc

point A and B on the exterior of <APB; ACB arc


semicircle

Arc whose endpoints are the endpoints of the diameter


measure of minor arc

measure of the central circle


measure of major arc

360  minor arc


arc addition postulate

the measure of an arc formed 2 adjacent is the sum of the measures of the 2 arcs


congruent arcs

arcs of the same circle with the same measure


Inscribed arc

an angle whose vertex is on the circle and whose sides contain chords of the circle


Intercepted arcs

arc that lies in the interior of an inscribed angle and has endpoints in an angle


theorem 10.8

measure of an inscribed < , if and < is inscribed in a circle then it's measure is 1/2 the measure of its intercepture


theorem 10.9

If 2 inscribed < of a circle intercept the same arc, then the angles are congruent


theorem 10.10

if a right angle is inscribed in a circle then the hypotenuse is a diameter of the circle


theorem 10.10 converse

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


theorem 10.11

A quadrilateral can be inscribed in a circle if and only if its opposite <s are suppelmentary


theorem 10.12

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
