html5-img
1 / 21

Thursday, November 14 th

Thursday, November 14 th. Warm Up. Find 1. Z 2. M<U . Homework Answers. Do you know your formulas?!!. Case I: Central Angle: Vertex is AT the center. A. . P. B. Central Angle is equal to the ______________. Arc = ___________ the inscribed angle . Angle =.

javier
Download Presentation

Thursday, November 14 th

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. Thursday, November 14th Warm Up Find 1. Z 2. M<U

  2. Homework Answers

  3. Do you know your formulas?!!

  4. Case I:Central Angle: Vertex is ATthe center A  P B Central Angle is equal to the ______________

  5. Arc = ___________ the inscribed angle

  6. Angle =

  7. CASE IV. Vertex is OUTSIDE circle ANGLE Angle = small ARC LARGE ARC LARGE ARC LARGE ARC small ARC ANGLE small ARC ANGLE

  8. Tune: If You’re Happy and You Know It • If the vertex is ON the circle half the arc. <clap, clap> • If the vertex is INside the circle half the sum. <clap, clap> • But if the vertex is OUTside, then you’re in for a ride, cause it’s half of the difference anyway. <clap, clap>

  9. Today’s Goal Secants and tangents Side Lengths

  10. Segment Lengths in Circles • Find the lengths of segments of chords • Find the lengths of segments of tangents and secants

  11. Two chords intersect INSIDE the circle Type 1: a ab = cd d c b

  12. Solve for x. 9 6 x 2 x = 3

  13. 12 2x 8 3x Find the length of DB. x = 4 DB = 20 A D C B

  14. Find the length of each chord. D x = 8 AC = 13 DB = 14 A x - 4 x C 5 10 B

  15. Two secants intersect OUTSIDE the circle Type 2: E A B C D EA•EB = EC•ED

  16. Ex: 3 Solve for x. B 13 A 7 E 4 C x D 7 (7 + 13) = 4 (4 + x) x = 31 140 = 16 + 4x 124 = 4x

  17. Ex: 4 Solve for x. B x A 5 D 8 6 C E 6 (6 + 8) = 5 (5 + x) 84 = 25 + 5x x = 11.8 59 = 5x

  18. Type 2 (with a twist): Secant and Tangent C B E A EA2= EB • EC

  19. Ex: 5 Solve for x. C B x 12 E 24 A (12 + x) 242 = 12 x = 36 576 = 144 + 12x

  20. Ex: 6 5 B E 15 C x A (5 + 15) x2 = 5 x2 = 100 x = 10

  21. Practice Problems

More Related