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

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Presentation transcript:

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

More Circle Properties C Q P R Chord – A segment whose endpts are on a circle. Ex: PQ 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°

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

Thm )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 B P R D C ll Chords and Arcs

Ex.2: Solve for the missing Variables m  B = 32  A B P D l l l l 9cm 12.5cm 16  AB = m  P = m  1 = m  2 = BP = 25cm 148  74  15.4cm a 2 + b 2 = c = BP = BP 2 BP = 15.4cm Chords and Arcs <1 <2

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 Chords and Arcs

Ex.4: Solve for the missing sides. A B D C 7m 3m BC = AB = AD = 7m 14m 7.6m a 2 + b 2 = c = AD = AD 2 AD = 7.6m Chords and Arcs

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