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Transformations and Tesselations

Transformations and Tesselations. By: Christine Berg Edited By: VTHamilton. Transformation. Movements of a figure in a plane May be a SLIDE, FLIP, or TURN. Translation. Another name for a SLIDE. A. A’. C. C’. B. B’. A’, B’ and C’ are explained in the next slide. Image.

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Transformations and Tesselations

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  1. Transformationsand Tesselations By: Christine Berg Edited By: VTHamilton

  2. Transformation • Movements of a figure in a plane • May be a SLIDE, FLIP, or TURN

  3. Translation Another name for a SLIDE A A’ C C’ B B’ A’, B’ and C’ are explained in the next slide...

  4. Image The figure you get after a translation A A’ Slide C B C’ B’ Image Original The symbol ‘ is read “prime”. ABC has been moved to A’B’C’. A’B’C’ is the image of ABC.

  5. Writing a Rule Finding the amount of movement LEFT and RIGHT and UP and DOWN

  6. Writing a Rule Right 4 (positive change in x) B Down 3 (negative change in y) B’ C A A’ C’

  7. Writing a Rule Can be written as: • R4, D3 (Right 4, Down 3) • (x+4, y-3)

  8. Reflection Another name for a FLIP A A’ C B B’ C’

  9. Reflection Used to create SYMMETRY on the coordinate plane

  10. Symmetry When one side of a figure is a MIRROR IMAGE of the other

  11. Line of Reflection The line you reflect a figure across Ex: X or Y axis

  12. Rotation Another name for a TURN C’ B’ B A’ C A

  13. Rotation A transformation that turns about a fixed point

  14. Center of Rotation The fixed point C’ B’ B A’ C A (0,0)

  15. Rotational Symmetry When an image after rotation of 180 degrees or less fits exactly on the original

  16. Rotating a Figure Measuring the degrees of rotation C’ B’ B 90 degrees A’ C A

  17. Tessellation A design that covers a plane with NO GAPS and NO OVERLAPS

  18. Tessellation Formed by a combination of TRANSLATIONS, REFLECTIONS, and ROTATIONS

  19. Pure Tessellation A tessellation that uses only ONE shape

  20. Pure Tessellation

  21. Pure Tessellation

  22. Semiregular Tessellation A design that covers a plane using more than one shape

  23. Semiregular Tessellation

  24. Semiregular Tessellation

  25. Semiregular Tessellation

  26. Semiregular Tessellation

  27. Tessellation Used famously in artwork by M.C. Escher

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