1 / 8

12- 2 Chords and Arcs

12- 2 Chords and Arcs. Dawned Pea Hugger Limb Ann. Don't be a girly man. More Circle Properties. R. Chord – A segment whose endpts are on a circle. Ex: PQ. C. P. Central s –  in a circle, whose vertex is at the center of the circle. Rays of central s are radii of the circle .

maya-stokes
Download Presentation

12- 2 Chords and Arcs

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. 12- 2 Chords and Arcs Dawned Pea Hugger Limb Ann Don't be a girly man

  2. More Circle Properties R • Chord – A segment whose endpts are on a circle. • Ex: PQ C P • Central s –  in a circle, whose vertex is at the center of the circle. • Rays of central s are radii of the circle . • Sum of central s (w/ no common interior pts) are 360° Q

  3. More Circle Properties Thm12-4  Central s have  chords.  Chords have  Arcs.  Arcs have  Central s. A What can you say about arc AB and arc AC? B O C

  4. 12. 2 Chords and Arcs Thm 12-5 • Chords equidistant from the center are . - If TP  RP, then AB  CD 2)  chords are equidistant from the center. - If CD  AB, then TP  RP Thm 12-5 If 1 & 2 are true, then TP bisects AB & RP bisects CD. - If AT  BT, then CR  DR A T ll B ll P C ll ll R D

  5. Ex.2: Solve for the missing Variables mB = 32 12. 2 Chords and Arcs AB = mP = m1 = m2 = BP = 25cm 148 74 74 15.4cm <1 A l l 9cm 16 P B 16 l a2 + b2 = c2 92 + 12.52 = BP2 81 + 156.25 = BP2 BP = 15.4cm l 12.5cm D <2

  6. Thmn 12-6 In a circle, a diameter that is  to a chord bisects the chord & its arc. Thm 12-7 In a circle, a diameter that bisects a chord (that is not a diameter) is  to the chord. Thm 12-8 In a circle, the  bisector of a chord contains the center of the circle. 12. 2 Chords and Arcs

  7. Ex.4: Solve for the missing sides. 12. 2 Chords and Arcs BC = AB = AD = 7m 14m 7.6m A 7m 3m C D a2 + b2 = c2 32 + 72 = AD2 9 + 49 = AD2 AD = 7.6m B

  8. 12-2 HW pg.673 #1,2,3-5,10,11,13,14,18,30,32 pg. 580# 7-9 12. 2 Chords and Arcs Ease Ace Life Ox He's a sly fox

More Related