1. Transformations and 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 B C A C B A, B and C are explained in the next slide...

4. Image The figure you get after a translation Original Image Slide AA BBCC The symbol is read prime. ABC has been moved to ABC. ABC 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 9 8 7 6 5 4 3 2 1 0123456789 Right 4 (positive change in x) Down 3 (negative change in y) A A B B C 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 AA CCBB

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 B B C C A A

13. Rotation A transformation that turns about a fixed point

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

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 90 degrees A A C C B B

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

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

23. Semiregular Tessellation

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