1 / 9

9-6 Secants, Tangents and Angle Measures

9-6 Secants, Tangents and Angle Measures. Secant A line that intersects a circle in exactly two points. Theorem 9-11 If a secant and a tangent intersect at the point of tangency, then the measure of the intercepted arc is twice the measure of the angle formed. Th. 9-11 m BC = 2( m ABC ).

raymond-anderson
Download Presentation

9-6 Secants, Tangents and Angle Measures

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 9-6Secants, Tangents and Angle Measures

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

  3. Theorem 9-11If a secant and a tangent intersect at the point of tangency, then the measure of the intercepted arc is twice the measure of the angle formed.

  4. Th. 9-11m BC =2(m ABC) A B C

  5. Theorem 9-12If 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.

  6. Th. 9-12m PB + m RL = 2(m 1) R P 1 B L

  7. Theorem 9-13If 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.

  8. Th. 9-13m AB – m RS = 2(m RMS) A R M S B

  9. B O 1 3 Y K 2 4 D A In circle K, mOB = 98, mOY = 28, mYD = 62, and mDA = 38. Find each measure. m<1 = 24 mAB = 90 m<3 = 132 m<2 = 36

More Related