1 / 25

Daily Check

Daily Check. Homework Review. GPS Geometry Day 25 (9-11-13). UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s Question: How can I find a segment length for a piece of a chord? Standard: MMC9-12.G.C.2.

brede
Download Presentation

Daily Check

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. Daily Check

  2. Homework Review

  3. GPS GeometryDay 25 (9-11-13) UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s Question: How can I find a segment length for a piece of a chord? Standard: MMC9-12.G.C.2

  4. How do you know when two chords are congruent? • corresponding arcs are congruent B A M P b. equidistant from the center L C LP  PM ALP = BMP = 90 D

  5. Flow Chart Proof

  6. 2x x + 40 2x = x + 40 x = 40

  7. In K, K is the midpoint of RE. If TY = -3x + 56 and US = 4x, find the length of TY. U T x = 8 TY = 32 K E R S Y

  8. IF AC is the perpendicular bisector of segment DB, then… D It’s the DIAMETER!!! Arcs DC and BC are congruent!!! A C B

  9. IN Q, KL  LZ. IF CK = 2X + 3 and CZ = 4x, find x. Q x = 1.5 C Z K L

  10. In P, if PM  AT, PT = 10, and PM = 8, find AT. P A M MT = 6 T AT = 12

  11. Your turn!  ÐUTV ÐXTW. Find WX.___________ 130º 11 Find ___________

  12. Your turn!  Find the length of each chord. 96 30 LN = _______ CE = _______

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

  14. Secant and Tangent 2 Secants intersecet outside Chords intersect inside

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

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

  17. 12 2x 8 3x Find the length of DB. x = 4 DB = 20 A D C B

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

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

  20. 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

  21. 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

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

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

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

  25. Homework Practice Worksheet

More Related