1. Use Inscribed Angles and Polygons Lesson 10.4

2. Definitions/Theorem 10.7 BAC = ½(BC) Intercepted Arc Inscribed Angle A B C. Central Angle

3. Find the measure of RS Find the measure of the TU S T UR 31° 118 ᵒ.

4. Theorem 10.8 If two inscribed angles of a circle intercept the same arc, then the angles are congruent D C A B ADB = ACB

5. Definitions Inscribed Polygon- A polygon with all of its vertices on the edge of the circle. Circumscribed Circle – The circle that contains the vertices Circumscribed Circles Inscribed Quadrilateral Inscribed Triangle

6. Theorem 10.9 The hypotenuse of an inscribed right triangle in a circle is the diameter. Converse is also true. (Reminder diameter is opposite of right angle). A B C

7. Theorem 10.10 A quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary. 98° 112° 68° 82° 112+68 = 180 98+82 =180