1. Transformations MathScience Innovation Center Betsey Davis

2. Transformations B. Davis 2005 MathScience Innovation Center Transformation= change Isometry Translation Reflection –Over a line –Around a point –Lines of Symmetry Dilation Copy these down and skip lines to keep notes. Notes graded today !

3. Transformations B. Davis 2005 MathScience Innovation Center Isometry Change that preserves lengths and angle measures Example: isometric Example: Not isometric

4. Transformations B. Davis 2005 MathScience Innovation Center Isometry Isometry or not? NOT !

5. Translations By: Alisa

6. Transformations B. Davis 2005 MathScience Innovation Center Use the tip of the cow’s ear as the starting point (0,4) By: Alisa

7. Transformations B. Davis 2005 MathScience Innovation Center Original f(x) Translated up New equation: f(x)+4 By: Alisa

8. Transformations B. Davis 2005 MathScience Innovation Center Translation = slip or slide Up Down Right Left

9. Transformations B. Davis 2005 MathScience Innovation Center Original f(x) Translated down New equation: f(x)-6 By: Alisa

10. Transformations B. Davis 2005 MathScience Innovation Center Original f(x) Translated left New equation: f(x+7) By: Alisa

11. Transformations B. Davis 2005 MathScience Innovation Center Original f(x) Translated right New equation: f(x-8) By: Alisa

12. Transformations B. Davis 2005 MathScience Innovation Center

13. By Camille

14. Transformations B. Davis 2005 MathScience Innovation Center By Camille

15. Transformations B. Davis 2005 MathScience Innovation Center Reflection over a line: Flip Up and down Left and right

16. Transformations B. Davis 2005 MathScience Innovation Center By Camille

17. Transformations B. Davis 2005 MathScience Innovation Center By Camille

18. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line-

19. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line-

20. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line- Line Reflection The line is called the line of symmetry

21. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line- Line Reflection Spin about a point

22. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line- Line Reflection Spin about a point

23. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point= rotation Rather than flip over a line- Line Reflection Spin about a point

24. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

25. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

26. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

27. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

28. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

29. Transformations B. Davis 2005 MathScience Innovation Center Reflection about a point = rotation 30 degrees 90 degrees 180 degrees ¾ of a turn

30. Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

31. Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

32. Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

33. Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

34. Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

35. Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

36. Transformations B. Davis 2005 MathScience Innovation Center Refection: Over line About a point

37. Transformations B. Davis 2005 MathScience Innovation Center Lines of Symmetry To count lines of symmetry, imagine how many times you can rotate image and match original Example: a square has 4 lines of symmetry but a rectangle only has 2

38. Transformations B. Davis 2005 MathScience Innovation Center Lines of Symmetry To count lines of symmetry, imagine how many times you can rotate image and match original Example: How many lines does a regular pentagon have? Example: How many lines does a non-regular pentagon have?

39. By: Stephanie Hill

40. Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie Hill

41. Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie Hill

42. Transformations B. Davis 2005 MathScience Innovation Center Dilation: Stretch or Shrink Vertically: taller or shorter Horizontally: fatter or skinnier

43. Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

44. Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

45. Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

46. Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie Hill

47. Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

48. Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

49. Transformations B. Davis 2005 MathScience Innovation Center By: Stephanie

50. Transformations B. Davis 2005 MathScience Innovation Center Transformation= change Hopefully you have notes now on all of this. We add one more item now. Notes graded today ! Isometry Translation Reflection –Over a line –Around a point –Lines of Symmetry Dilation

51. Transformations B. Davis 2005 MathScience Innovation Center Tessellation Completely covering a plane with shapes with –No overlapping –No gaps Here is one more. Notes graded today !

52. Transformations B. Davis 2005 MathScience Innovation Center Tessellation

53. Transformations B. Davis 2005 MathScience Innovation Center

54. http://www.learnalberta.ca/Math/ math6web/math6shell.swf This website reviews translations and line reflections. http://michaelshepperd.tripod.com/resources/tessellations.html This website shows tessellations.

55. Transformations B. Davis 2005 MathScience Innovation Center Geometry in Art Time to practice! translation Rotation Or reflection about a point

56. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

57. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

58. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

59. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

60. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

61. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

62. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

63. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

64. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

65. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

66. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

67. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

68. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

69. Transformations B. Davis 2005 MathScience Innovation Center Choose the best answer A. translation B. line reflection C. point reflection or rotation D.Dilation E. tessellation

70. Transformations B. Davis 2005 MathScience Innovation Center Sample Classwork Chesterfield County Public Schools Geometry: Page 399 # 5,6,7 # 21,22 (just name transformation) 23,24,25,42 Page 407 #3,4,5,12,13,14