This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 142B Tangent Lines
A) Theorem 144 a. The perpendicular from the center of a circle to a chord bisects the chord B) Theorem 145 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 146 a. In the plane of a circle, the perpendicular bisector of a chord passes through the center D) Corollary 146.1 a. No circle contains three different collinear points E) Definition a. Congruent i. Circles with congruent radii F) Theorem 147 a. In the same circle or in congruent circles, chords equidistant from the center are congruent G) Theorem 148 a. In the same circle or congruent circles, any two congruent chords are equidistant from the center H) Theorem 149 (The LineCircle 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) ...
View
Full
Document
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.
 Spring '09
 Johnson
 Algebra

Click to edit the document details