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20 Cards in this Set

  • Front
  • Back
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
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