1. Warm Up 03.23.12 Week 1

2. Section 10.3 Day 1 I will use inscribed angles to solve problems. Inscribed Angles An angle whose vertex is on a circle and whose sides contain chords. Intercepted Arc Arc that lies in the interior of an inscribed angle.

3. Measure of an Inscribed Angle If an angle is inscribed in a circle, then its measure is half the measure of the intercepted arc. Theorem 10.8

4. Ex 1 a. b. c. 180 ° 230 ° 50 °

5. Ex 2What is the measure of each inscribed angle? Red? Green? Blue? 30 °

6. Arcs – Multiple Inscribed Angles Theorem 10.9 If two inscribed angles of a circle intercept the same arc, then the angles are congruent.

7. Ex 3 Find the value of x.

8. Circles – Inscribed Right Triangles Theorem 10.10 If a right triangle is inscribed in a circle, then its hypotenuse is a diameter.

9. Circles – Inscribed Quadrilaterals Theorem 10.11 A quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary.

10. Do 1: Assign ment: Handout – 10.3A Due at the end of the hour. Find the value of x.