1 / 9

10.5 Segment Lengths in Circles

10.5 Segment Lengths in Circles. p. 629. Thm 10.15. If 2 chords intersect in the interior of a circle, then AC * CD = BC * CE. B. A. C. D. F. E. Ex : Solve for x. 12 * 9 = 18 * x 108 = 18x 6 = x. x 18. 12 9. R. Definitions. S.

boaz
Download Presentation

10.5 Segment Lengths in Circles

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. 10.5 Segment Lengths in Circles p. 629

  2. Thm 10.15 If 2 chords intersect in the interior of a circle, then AC * CD = BC * CE B A C D F E

  3. Ex: Solve for x. 12 * 9 = 18 * x 108 = 18x 6 = x x 18 12 9

  4. R Definitions S Tangent segment – a piece of a tangent with one endpt. at the pt. of tangency. Secant segment – a piece of a secant containing a chord, with one endpt. in the exterior of the circle & the other on the circle. External secant segment – the piece of a secant seg. that is outside the circle. SP Q RP P PQ

  5. Thm 10.16 If 2 secant segs. share the same endpt. outside the circle, then AB * AC = AE * AD Exterior parts Whole secant seg. C D B E A

  6. Ex: Solve for x. 11 * 21 = 12 (12 + x) 231 = 144 + 12x 87 = 12x 7.25 = x 10 11 x 12

  7. Thm 10.17 If a secant seg. & a tangent seg. share an endpt. outside of a circle, then (AB)2 = AC * AD Tangent Ext. secant seg. Whole secant seg B A C D

  8. Ex: solve for x. 24 302 = x (x + 24) 900 = x2 + 24x x2 +24x – 900 = 0 How do you solve for x? Use the quadratic formula!! x = 20.31 x = -44.31 30 x a = 1 b = 24 c = -900

  9. Assignment

More Related