1 / 26

Graphing Transformations 3

Graphing Transformations 3. Rotation – the motion of an object around a fixed point. Direction of rotation – can be clockwise or counter-clockwise. Centre of rotation – the fixed point around which the rotation takes place. Angle of rotation – the amount of rotation made . y. 4. 3.

ura
Download Presentation

Graphing Transformations 3

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. Graphing Transformations 3 Rotation – the motion of an object around a fixed point

  2. Direction of rotation – can be clockwise or counter-clockwise

  3. Centre of rotation – the fixed point around which the rotation takes place

  4. Angle of rotation – the amount of rotation made

  5. y 4 3 360° 2 1 x -4 -3 -2 -1 1 2 3 4 -1 -2 centre of rotation -3 -4

  6. y 4 90° counter-clockwise 3 2 +90° 1 x -4 -3 -2 -1 1 2 3 4 -1 -2 270° clockwise -3 -270° -4

  7. y 4 3 180° counter-clockwise +180° 2 1 x -4 -3 -2 -1 1 2 3 4 -1 -2 180° clockwise -3 -180° -4

  8. 4 TOP OF PAGE 3 2 1 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 A rotation +90°

  9. 4 TOP OF PAGE 3 2 1 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 A rotation +180°

  10. 4 TOP OF PAGE 3 2 1 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 A rotation +270°

  11. Would the images be different if the figures had been rotated clockwise instead of counter-clockwise?

  12. 4 TOP OF PAGE 3 2 1 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 A rotation -90°

  13. Would the images be different if the figures had been rotated clockwise instead of counter-clockwise? A 90° clockwise rotation produces the same image as a 270° counter-clockwise rotation, and vice versa.

  14. y Coordinates C’ 4 A(0,1) B(2,3) C(4,2) D(3,0) D’ 3 B B’ C 2 A 1 A’ D x -4 -3 -2 -1 1 2 3 4 A’(-1,0) B’(-3,2) C’(-2,4) D’(0,3) -1 -2 -3 -4 A rotation +90° OR-270°

  15. What patterns do you see in the coordinates of the figure and its image? • x-coordinates and y-coordinates switched and the x-coordinates have the opposite sign

  16. y Coordinates 4 A(0,1) B(2,3) C(4,2) D(3,0) 3 B C 2 A 1 D x -4 -3 -2 -1 1 2 3 4 D’ A’(0,-1) B’(-2,-3) C’(-4,-2) D’(-3,0) -1 A’ -2 C’ -3 B’ -4 A rotation +180° OR -180°

  17. What patterns do you see in the coordinates of the figure and its image? • x-coordinates and y-coordinates have the opposite sign

  18. y Coordinates 4 A(0,1) B(2,3) C(4,2) D(3,0) 3 B C 2 A 1 D x -4 -3 -2 -1 1 2 3 4 A’ A’(1,0) B’(3,-2) C’(2,-4) D’(0,-3) -1 -2 B’ -3 D’ C’ -4 A rotation +270° OR -90°

  19. What patterns do you see in the coordinates of the figure and its image? • x-coordinates and y-coordinates switched and the y-coordinates have the opposite sign

  20. How are a figure and its rotation image alike? They are congruent. They have the same orientation. If ABCD is read clockwise, then A’B’C’D’ is read clockwise.

  21. Coordinates y 4 A 3 B D 2 1 x -4 -3 -2 -1 1 2 3 4 C -1 -2 -3 -4 Rotate ABCD -90°

  22. Coordinates y 4 3 2 1 A x B -4 -3 -2 -1 1 2 3 4 D -1 -2 -3 C -4 Rotate ABCD +270°

  23. Coordinates y 4 3 2 A 1 x -4 -3 -2 -1 1 2 3 4 -1 B D -2 C -3 -4 Rotate ABCD 180°

  24. y Coordinates 4 A(0,1) B(2,3) C(4,2) D(3,0) 3 B C 2 A 1 D x -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 A rotation

More Related