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

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.

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

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

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

Reflection Another name for a FLIP AA CCBB

Reflection Used to create SYMMETRY on the coordinate plane

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

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

Rotation Another name for a TURN B B C C A A

Rotation A transformation that turns about a fixed point

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

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

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

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

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

Pure Tessellation A tessellation that uses only ONE shape

Pure Tessellation

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

Semiregular Tessellation

Tessellation Used famously in artwork by M.C. Escher