1. 11-2 Chords & Arcs 11-3 Inscribed Angles

2. Theorems

3. Theorems
If chords are congruent, then they are equidistant from the center of the circle.

4. Theorems
If the diameter is perpendicular to a chord, then it bisects the chord and its arcs.
The perpendicular bisector of a chord contains the center of the circle.

5. Examples
1)Find AB.
2) Find AB & AO.

6. Vocabulary & Theorems
Inscribed Angle – angle whose vertex is on the circle.
Two inscribed angles intercept the same arc then they are congruent.

7. Theorems An angle inscribed in a semicircle is a right angle.
Opposite angles of a quadrilateral inscribed in a circle are supplementary.
An angle inscribed in a semicircle is a right angle.

8. Examples
1) Find the numbered angles.
2) Find x and y.