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Tangents

Tangents. 10.1. Chord. A chord is a segment whose endpoints are on a circle . A diameter is a chord that contains the center of the circle. Secant. A secant is a line that intersects a circle in two points. A tangent is a line that intersects the circle in exactly one point. Tangent.

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Tangents

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  1. Tangents 10.1

  2. Chord • A chord is a segment whose endpoints are on a circle. • A diameter is a chord that contains the center of the circle.

  3. Secant • A secant is a line that intersects a circle in two points. • A tangent is a line that intersects the circle in exactly one point. Tangent

  4. Chords, Secants, and Tangents Chord Secant Tangent

  5. Common Tangents • A line, ray, or segment that is tangent to two coplanar circles is called a common tangent.

  6. Theorem 10.1 • In a plane, a line is tangent to a circle if and only if the line is perpendicular to a radius of the circle at its intersection on the circle.

  7. Using Tangent Lines

  8. Theorem 10.2 • Tangent segments from a common external point are congruent.

  9. Assignment • p.655: 3-10, 18-28

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