Bellwork

1. Bellwork Pg 590 1-3

2. 11.2 Chords and Arcs Chapter 11 Circles

3. P Chord: segment whose endpoints are on the circle ) Chord PQ and Arc PQ Q • Theorem 11-4: • Within a circle or in congruent circles • Congruent central angles have congruent chords • Congruent chords have congruent arcs • Congruent arcs have congruent central angles

4. ) ) In the diagram, Circle O is congruent to Circle P. Given that BC = DF, what can you conclude? B D P F O C We know that <O = <P and BC = DF

5. Theorem 11-5: Within a circle or in congruent circles • Chords equidistant from the center are congruent • Congruent chords are equidistant from the center

6. Find the value of a in the circle 12.5 + 12.5 = 25 a = 25 9 a 9 12.5

7. Find the value of x in the circle x = 16 18 18 16 x 36

8. Theorem 11-6: In a circle, a diameter that is perpendicular to a chord bisects the chord and its arcs Theorem 11-7: In a circle, a diameter that bisects a chord is perpendicular to the chord Theorem 11-8: In a circle, the perpendicular bisector of a chord contains the center of the circle

9. 72 + 32 = r2 Find each missing length to the nearest tenth. K 49 + 9 = r2 r L 58 = r2 3cm 7 r = 7.6 14cm M 112 + y2 = 152 A 121 + y2 = 225 15 11 y2 = 104 C B y y = 10.2 11

10. 42 + x2 = 6.82 x2 = 30.24 11 16 + x2 = 46.24 x = 5.5 Find the length of the chord. Find the distance from the midpoint of the chord to the midpoint of its minor arc. 2.8 6.8 - 4 6.8 4

11. Homework: pg 593 1-22 all