14.2b - Copy - 14-2B Tangent Lines A) Theorem 14-4 a. The...

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Unformatted text preview: 14-2B Tangent Lines A) Theorem 14-4 a. The perpendicular from the center of a circle to a chord bisects the chord B) Theorem 14-5 a. The segment from the center of a circle to the midpoint of a chord which is not a diameter is perpendicular to the chord C) Theorem 14-6 a. In the plane of a circle, the perpendicular bisector of a chord passes through the center D) Corollary 14-6.1 a. No circle contains three different collinear points E) Definition a. Congruent i. Circles with congruent radii F) Theorem 14-7 a. In the same circle or in congruent circles, chords equidistant from the center are congruent G) Theorem 14-8 a. In the same circle or congruent circles, any two congruent chords are equidistant from the center H) Theorem 14-9 (The Line-Circle Theorem) a. If a line and a circle are coplanar, and the line intersects the interior of the circle, then it intersects the circle in two and only two points I) Example a. A chord 12 cm long is perpendicular to a radius of a circle. The distance from the intersection of the chord and the radius to the outer end of the radius is 2 cm. Find the length of the radius. J) Example (5 from hw) a. Given: P is the center b. Prove: 1) Given 1) Given 2) ...
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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State University.

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14.2b - Copy - 14-2B Tangent Lines A) Theorem 14-4 a. The...

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