Geometry/Notes 10.4
- 2. INSCRIBED ANGLES How do I find the measure of an inscribed angle? How do I find the measures of the angles of an inscribed polygons?
- 3. INSCRIBED ANGLE Inscribed Angle: Angle with the vertex on the circle and the sides are chords. Intercepted Arc: The arc created by the chords.
- 4. INSCRIBED ANGLE Inscribed and central angles are different! Inscribed = Central =
- 5. INTERCEPTED ARCS Which are the intercepted Arcs? Inscribed = Central =
- 6. THEOREM 10.4 B D A C
- 7. THEOREM 10.4 B D A C
- 8. EXAMPLE
- 9. THEOREM Theorem 10.6: If two inscribed angles of a circle intercept congruent arcs or the same arc, then the angles are congruent. A B A B D C D C
- 10. THEOREM Theorem 10.7: If an inscribed angle intercepts a semicircle, the angle is a right angle.
- 11. EXAMPLE
- 12. THEOREM Theorem 10.8: If a quadrilateral is inscribed in a circle, then its opposite angle are supplementary.
- 13. EXAMPLE
- 14. HOMEWORK Page 549 #8, 10, 14 – 30 Even
- 15. LESSON PLAN Intro Add a new angle inside a circle, an inscribed angle. Then develop theorems about inscribed angles. Standards- 9. Supplies – slides, whiteboard, note sheets Timing: One day for notes, one day for a combined review of 10.3 and 10.4 and a quiz. Day 1: Essential Questions- slides 2 Input-slides 3, 6, 9 – 11, 13 Guided Practice - slides 4, 5, 7, 8, 12, 14 Independent Practice – Book Work