1 / 16

Warm-Up

Warm-Up. 19. TCH 21. 52 23. There are none shown in the pict. 25. 23.5 26. 3 27. 102 28. 60 29. 60 30. 60 37. 89 38. 91 39. 114 40. 90 41. 33 42. 33 43. 44.5 44. 57 45. 78.5. p. 462 #17-22, 25, 27, 32-34 17. S 18. 18 19. PQ, UV, UW 20. DU, DV, DT, DR

kylee-shaw
Télécharger la présentation

Warm-Up

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm-Up 19. TCH 21. 52 23. There are none shown in the pict. 25. 23.5 26. 3 27. 102 28. 60 29. 60 30. 60 37. 89 38. 91 39. 114 40. 90 41. 33 42. 33 43. 44.5 44. 57 45. 78.5 p. 462 #17-22, 25, 27, 32-34 17. S 18. 18 19. PQ, UV, UW 20. DU, DV, DT, DR 21. Neither, they are congruent 22. 21.3 25. 28 27. 21 32. 8.7 33. 24 34. 4 p. 470 #7-23 odd, 25-30, 37-45 7. BC 9. 40 11. 72 13. 104 15. 52 17. HC

  2. Today’s Agenda • Warm-Up • Quiz 9.1-9.4 • 9-5: Tangents • What is a tangent line and what relationships occur with them? • Practice • Assign Homework

  3. Quiz • Quiz 9.1-9.4. • Good Luck!! • You have 30 minutes!!!

  4. 9-5 Tangents • Tangent: a line that intersects the circle in exactly one point. • Point of Tangency: The point where a tangent and the circle intersect. Point of Tangency

  5. Theorem • Theorem 9-8:If a line is tangent to a circle then it is perpendicular to the radius drawn to the point of tangency.

  6. x 6 in A C B 8 in Example • Find x. (AB is a tangent line.)

  7. A D C B Theorem • Theorem 9-9: In a plane, if a line is perpendicular to a radius of a circle at the endpoint on the circle, then the line is a tangent to the circle. If AB I CD, then CD is a tangent line.

  8. A 17 in 7 in C D B 24 in Example • Is Line BC a tangent line?

  9. Common Tangent • Common Tangent: a line or line segment that is tangent to two circles in the same plane.

  10. Common External Tangents • Common External Tangents: a common tangent that does not intersect the segment whose endpoints are the center of the circles.

  11. Common Internal Tangents • Common Internal Tangents: a common tangent that does intersect the segment whose endpoints are the centers of the circles.

  12. Tangent Segments • Tangent Segments: a segment AB such that one endpoint is on a circle, the other is outside the circle and the line AB is tangent to the circle.

  13. Theorem • Theorem 9-10: If 2 segments from the same exterior point are tangent to a circle, then they are congruent.

  14. Example • Find x, the diameter of the circle is 6 ft. 49° x

  15. Circumscribed Polygons • Circumscribed Polygons: a polygon is circumscribed about a circle if each side of the polygon is tangent to the circle.

  16. Homework • p. 479 #17-25, 29, 31-36 • Chapter 9 Test ( )

More Related