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# Transformations

-. Transformations. y. x. x. x. x. Transformations. Menu. 1. Examples of different Transformation. Individual transformations explained plus sets of four descriptions to draw. 2. Transformation “Jungles”. Questions on diagrams containing a large

## Transformations

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### Presentation Transcript

1. - Transformations y x x x x

2. Transformations Menu 1. Examples of different Transformation Individual transformations explained plus sets of four descriptions to draw. 2. Transformation “Jungles” Questions on diagrams containing a large number of shapes. List the shapes that fit. 3. Predicting Activity (Three levels) Questions on diagrams containing a large number of shapes. List the shapes that fit.

3. Transformations Menu Written descriptions only 1 - 4 5 - 8 A Translations 1 - 4 5 - 8 B Reflections 1 - 4 5 - 8 C Rotations 1 - 4 5 - 8 D Enlargements Descriptions and Diagrams A Translations 1 2 3 4 5 6 7 8 B Reflections 1 2 3 4 5 6 7 8 C Rotations 1 2 3 4 5 6 7 8 D Enlargements 1 2 3 4 5 6 7 8 Jungle 1 Question Menu Jungle 2. Question Menu Basic translations, reflections + rotations. 1 2 3 4 5 6 Basics + new lines of reflection ... 1 2 3 4 5 6 More enlargements, centres, SF’s etc. 1 2 3 4 5 6

4. SLIDE CONTROL WHEN IN PRESENTATION MODE Pressing keys or clicking moves slides on. Pressing P goes to previous slide. Using menu slide, click on chosen button to go to that slide. Click on Menu button to return. In presentation mode, right click, then ‘help’ gives a full list of control options.

5. What is this? What type of movement does this picture make you think of? Rotation

6. What is this? What type of mapping does this picture make you think of? Reflection

8. What is this? What type of mapping does this picture make you think of? Translation

9. Examples of Transformations • This section looks at various types of basic • transformation. • The written descriptions are given so that • drawings can be attempted before viewing. • The other part describes and demonstrates • each transformation one at a time. Written descriptions only Descriptions and Diagrams

10. Translation of 7 to the right and 1 up Translation of 5 to the right and 2 up Translation of 2 to the right and 2 up Translation of 5 to the right and 3 down 7 5 2 5 1 2 2 - 3 Examples of Translations Use triangle with coordinates (-4 , 0 ) , ( -2 , 0) and ( -4 , 3 ) 1 2 3 4

11. Translation of 0 across and 5 down Translation of 5 to the left and 1 up Translation of 4 to the left and 2 up Translation of 6 to the left and 4 down 0 - 5 - 4 - 6 - 5 1 2 - 4 Examples of Translations Use triangle with coordinates ( 2 , 0 ) , ( 4 , 0) and ( 2 , 3 ) 5 6 7 8

12. Examples of Reflections Use triangle with coordinates (1 , 2 ) , ( 3 , 2) and ( 1 , 5 ) 1 Reflection in the x axis 2 Reflection in the y axis 3 Reflection in the line y = 1 4 Reflection in the line x = - 1

13. Examples of Reflections Use triangle with coordinates ( 3 , 0 ) , ( 5 , 0) and ( 5 , 3 ) 5 Reflection in the line y = x 6 Reflection in the line x = 1.5 7 Reflection in the line y = x - 1 8 Reflection in the line y = - x

14. Examples of Rotations Use L- shape with coordinates ( 1 , 0 ), ( 4 , 0), ( 4 , 2 ), ( 3 , 2 ), ( 3 , 1 ) and ( 1 , 1 ) 1 Rotation of + 90o about ( 0 , 0 ) 2 Rotation of + 180o about ( 0 , 0 ) 3 Rotation of - 90o about ( 0 , 0 ) 4 Rotation of + 90o about ( 1 , - 2 )

15. Examples of Rotations Use L- shape with coordinates ( 1 , 0 ), ( 4 , 0), ( 4 , 2 ), ( 3 , 2 ), ( 3 , 1 ) and ( 1 , 1 ) 5 Rotation of + 90o about ( 2.5 , 0 ) 6 Rotation of 180o about ( 0 , 1 ) 7 Rotation of - 90o about ( 1 , 0 ) 8 Rotation of + 180o about ( 0 , 2 )

16. Examples of Enlargements 1 2 (-1,-1), (5,-1), (-1,-5) Enlargement of scale factor + 0.5 centre ( - 1 , 5 ) (0,-3), (3,-3), (3,-1) Enlargement of scale factor + 3 centre ( 2 , - 4 ) 3 (-3,2), (0,2), (0,4) Enlargement of scale factor + 2 centre ( - 5 , 3 ) 4 (-1,3), (1,4), (-1,4) Enlargement of scale factor + 5 centre ( 0 , 5 )

17. Examples of Enlargements 5 (-1,3), (1,4), (-1,4) Enlargement of scale factor + 5 centre ( 0 , 5 ) 6 (-2,-1), (2,3), (-2,3) Enlargement of scale factor + 0.5 centre ( 4 , - 3 ) 7 (-2,-1), (2,3), (-2,3) Enlargement of scale factor + 0.5 centre ( 4 , - 3 ) 8 (-1,-1), (5,-1), (-1,-5) Enlargement of scale factor + 0.5 centre ( - 1 , 5 )

18. Translation of 5 to the right and 2 up 5 2 A1 y x Blue = Object Red = Image

19. Translation of 7 to the right and 1 up 7 1 A2 y x Blue = Object Red = Image

20. Translation of 2 to the right and 2 up 2 2 A3 y x Blue = Object Red = Image

21. Translation of 5 to the right and 3 down 5 - 3 A4 y x Blue = Object Red = Image

22. Translation of 0 across and 5 down 0 - 5 A5 y x Blue = Object Red = Image

23. Translation of 4 to the left and 2 up - 4 2 A6 y x Blue = Object Red = Image

24. Translation of 5 to the left and 1 up - 5 1 A7 y x Blue = Object Red = Image

25. Translation of 6 to the left and 2 down - 6 - 4 A8 y x Blue = Object Red = Image

26. B1 y Reflection in the x axis x Blue = Object Red = Image

27. B2 y Reflection in the y axis x Blue = Object Red = Image

28. B3 y Reflection in the line y = 1 x Blue = Object Red = Image

29. B4 y Reflection in the line x = - 1 x Blue = Object Red = Image

30. B5 y Reflection in the line y = x x Blue = Object Red = Image

31. B6 y Reflection in the line x = 1.5 x Blue = Object Red = Image

32. B7 y Reflection in the line y = x - 1 x Blue = Object Red = Image

33. B8 y Reflection in the line y = - x x Blue = Object Red = Image

34. + C1 y Rotation of + 90o about ( 0 , 0 ) x Blue = Object Red = Image

35. + C2 y Rotation of + 180o about ( 0 , 0 ) x Blue = Object Red = Image

36. + C3 y Rotation of - 90o about ( 0 , 0 ) x Blue = Object Red = Image

37. + C4 y Rotation of + 90o about ( 1 , - 2 ) x x Blue = Object Red = Image

38. + C5 y Rotation of 180o about ( 2.5 , 0 ) x x Blue = Object Red = Image

39. + C6 y Rotation of 180o about ( 0 , 1 ) x x Blue = Object Red = Image

40. + C7 y Rotation of - 90o about ( 1 , 0 ) x x Blue = Object Red = Image

41. + C8 y Rotation of + 180o about ( 0 , 2 ) x x Blue = Object Red = Image

42. D1 y x (-1,0), (3,2), (-1,2) Enlargement of scale factor + 2 centre ( 1 , 4 ) x Blue = Object Red = Image

43. D2 y (0,-3), (3,-3), (3,-1) Enlargement of scale factor + 3 centre ( 2 , - 4 ) x x Blue = Object Red = Image

44. D3 y x (-3,2), (0,2), (0,4) Enlargement of scale factor + 2 centre ( - 5 , 3 ) x Blue = Object Red = Image

45. D4 y x (-1,3), (1,4), (-1,4) Enlargement of scale factor + 5 centre ( 0 , 5 ) x Blue = Object Red = Image

46. D5 y x (-3,0), (0,0), (0,2) Enlargement of scale factor + 2 centre ( - 5 , 3 ) x Blue = Object Red = Image

47. D6 y (-2,-1), (2,3), (-2,3) Enlargement of scale factor + 0.5 centre ( 4 , - 3 ) x x Blue = Object Red = Image

48. D7 y y x (-1,1), (-1,-1), (3,1) Enlargement of scale factor + 1.5 centre ( 1 , 5 ) x x Blue = Object Red = Image

49. D8 y y x (-1,-1), (5,-1), (-1,-5) Enlargement of scale factor + 0.5 centre ( - 1 , 5 ) x Blue = Object Red = Image

50. Transformation “Jungles” Click Here for Rules of Jungle • Each diagram shows a “Jungle” of shapes. • The challenge is to name the shapes that • fit the description. • There are often several answers. Jungle 1. Question Menu Jungle 2. Question Menu Return to Main Menu

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