Ch. 10 Theorems and Postulates
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Created by:
cassadilio on May 14, 2012
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11 terms
Terms | Definitions |
|---|---|
 If a line is tangent to a circle, | then it is perpendicular to the radius drawn at the point of tangency |
| In a plane, if a line is perpendicular to a radius of a circle at its endpoint on the circle | then the line is tangent to the circle |
| If 2 segments from the same exterior point are tangent to a circle | then they are congruent |
| In the same circle or in congruent circles, two minor arcs are congruent | if and only if their corresponding arcs are congruent |
| If a diameter of a circle is perpendicular to a chord | then the diameter bisects the chord and its arc |
| A quadrilateral can be inscribed in a circle | if and only if its opposite angles are supplementary |
| In the same circle, or in congruent circles two chords are congurent | if and only if they are equidistant from the center |
| If an angle is inscribed in a circle | then its measure is half the measure of its intercepted arc |
| if a tangent and a chord intersect at a point on a circle | then the measure of each angle formed is one half the measure of the intercepted arc |
| If 2 chords intersect in the interior of a circle | then the measure of each angle is one half the measure of the 2 intercepted arcs |
| If a tangent and a secant, two tangents or two secants intersect in the exterior of circle | then the measure of the angle formed is one half the difference of the intercepted arc |
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