1. Geometry Section 10-4 Use Inscribed Angles and Polygons

2. Inscribed Angles An angle whose vertex is on a circle and whose sides contain chords of the circle Intercepted arc is the arc that has the endpoints on the angle

3. Measure of an Inscribed Angle The measure of an inscribed angle is one half the measure of its intercepted arc.

4. Congruent Inscribed Angles Theorem If two inscribed angles of a circle intercepts the same arc, then the angles are congruent

5. Inscribed Polygons All the vertices lie on a circle The circle that contains the vertices is a circumscribed circle

6. Inscribed Right Angle Theorem If a right angle is inscribed in a circle, then the hypotenuse is a diameter of a circle. Also, if one side of an inscribed angle is the diameter, then the triangle is a right triangle, with the right angle opposite the diameter

7. Inscribed Quadrilateral Theorem A quadrilateral can be inscribed in a circle iff its opposite angles are supplementary

8. Examples classzone.com

9. Assignment Section 10-4 Page 676 Problems # 4-24 evens