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transformation

transformation. Stretch. Move. Shrink. transformations. combinations. Rotate. Reflect. Enlarge. translation. A. translations. We are given a shape on the axis…shape A. And we are told to move the whole shape 4 squares to the right , and 6 squares up. A. translations.

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transformation

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  1. transformation Stretch Move Shrink transformations combinations Rotate Reflect Enlarge

  2. translation A translations We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up

  3. A translations To begin this problem, we need to focus on one corner…any… Now count 4 to the right And count 6 up

  4. A A’ translations Now we know where the X moves to And now we can tell where the rest of the shape must go…

  5. A A’ translations The vector to describe this is… ( ) 4 6

  6. B B’ translations Find the translation vector for B to B’… ( )

  7. B B’ translations Find the translation vector for B to B’… ( )

  8. B B’ translations Find the translation vector for B to B’… ( ) 1 6

  9. Reflection Reflections Now the question is to reflect the blue shape in the red mirror line Use a piece of tracing paper to help

  10. Reflections Each point is exactly the same distance as before… Use a piece of tracing paper to help

  11. Reflections Each point is exactly the same distance as before… Use a piece of tracing paper to help

  12. C Reflections Using the red mirror line, find the reflection of shape C…

  13. C Reflections Using the red mirror line, find the reflection of shape C…

  14. C Reflections Using the red mirror line, find the reflection of shape C… C’

  15. Rotations Rotation • A rotation turns a shape about a fixed point. • This point is called the centre of rotation. • To describe a rotation you need 3 things… • 1) Angle • 2) Direction • 3) The centre

  16. Rotation D D Rotations Now the question is to rotate the object 1800 Clockwise About the origin (0,0)

  17. D D D Rotations Hint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates.

  18. Rotation D D Rotations Now the question is to rotate the object 900 Clockwise About the origin (0,0)

  19. D D D D Rotations Hint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates.

  20. Rotation D D Rotations Now the question is to rotate the object 900 Anti-Clockwise About the point (-2,1)

  21. D D D Rotations Hint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates.

  22. Rotations • Now copy a set of axes with • y going from -7 to 7, and • x going from -4 to 4. End

  23. Enlargements Enlargements Now the question is to enlarge the object E To do this you need to know two things…how much the shape grows, and where to start from

  24. Enlargements We are asked to enlarge shape E, from (-4,1) with scale factor 3 E

  25. Enlargements First draw your enlargement lines, which will show you where the corners of the enlarged shape must be E

  26. Enlargements E’ Find where the new shape is by counting the distance of each corner of E from the X, then multiplying by 3. E

  27. Transformation final Left/Right Up/Down Amount of turn Direction Translate Rotate Vector Centre of... ( ) 2 5 transformations Centre of... Image Reflect Enlarge Mirror line Scale factor Object

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