1. CIRCLES 1 Moody Mathematics

2. VOCABULARY: Identify the name of the object pictured in each frame. VOCABULARY: Identify the name of the object pictured in each frame. Moody Mathematics

3. Center

4. Radius

5. Tangent

6. Point of Tangency Moody Mathematics

7. Secant

8. Chord

9. Diameter

10. Concentric Circles Moody Mathematics

11. Central Angle Central Angle Moody Mathematics

12. Inscribed Angle Inscribed Angle Moody Mathematics

13. Inscribed Polygon Inscribed Polygon Moody Mathematics

14. Circumscribed Polygon Moody Mathematics

15. Inscribed Circle Moody Mathematics

16. Circumscribed Circle Circumscribed Circle Moody Mathematics

17. Intercepted Arc Moody Mathematics

18. Minor Arc Moody Mathematics

19. Semicircle

20. Major Arc Moody Mathematics

21. Angles & Arcs: Angles & Arcs: Moody Mathematics The measure of the angle depends mostly on where it’s vertex lies. Is it inside the circle, on the circle, or outside the circle?

22. Moody Mathematics The measure of a minor arc is the same as… …the measure of its central angle.

23. The measure of an inscribed angle is… …half the measure of its intercepted arc.

24. The measure of an angle formed by a tangent and secant is … …half the measure of its intercepted arc.

25. The measure of one of the vertical angles formed by 2 intersecting chords...is half the sum of the two intercepted arcs.

26. The measure of an angle formed by 2 secants intersecting outside of a circle is… …half the difference of the measures of its two intercepted arcs.

27. The measure of an angle formed by 2 tangents intersecting outside of a circle is… …half the difference of the measures of its two intercepted arcs.

28. If a quadrilateral is inscribed in a circle then each pair of opposite angles …...must be supplementary. (total 180 o )

29. Angles & Arcs: Find the measure of the indicated object in each frame. Angles & Arcs: Find the measure of the indicated object in each frame. Moody Mathematics

30. 88 o Moody Mathematics

32. 25 o x Moody Mathematics

34. x 100 o 60 o Moody Mathematics

36. x 130 o Moody Mathematics

43. The End

44. 3 4 2 x Moody Mathematics

45. 3 4 2 X=6 Moody Mathematics

46. 10 x Moody Mathematics

47. 10 X=10 Moody Mathematics