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12-4A Angle Measures and Segment Lengths

12-4A Angle Measures and Segment Lengths. Secant A line that intersects a circle in exactly two points.

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12-4A Angle Measures and Segment Lengths

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  1. 12-4AAngle Measures and Segment Lengths

  2. SecantA line that intersects a circle in exactly two points.

  3. Theorem 11-11 AIf two secants intersect in the interior of a circle, then the sum of the measures of the arcs intercepted by the angle and its vertical angle is twice the measure of the angle formed.

  4. Th. 11-11 A 2(m 1) = m PB + m RL = R P 1 B L

  5. Theorem 11-11 BIf two secants or tangents intersect outside a circle, then the difference of the measures of the intercepted arcs is twice the measure of the angle formed.

  6. Th. 11-11 B 2(m RMS) = m AB – m RS A R M S B

  7. Good for Cheat SheetOutside 2( ) = big arc – little arc On 2( ) = arc Inside 2( ) = arc in-front + arc behind

  8. Demonstration

  9. Turn to page 794.2, 5, 8-11, 45, 48, 49

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