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Transformations and Tesselations By: Christine Berg Edited By: VTHamilton

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

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

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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.

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

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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

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

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Reflection Another name for a FLIP AA CCBB

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Reflection Used to create SYMMETRY on the coordinate plane

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

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

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

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Rotation A transformation that turns about a fixed point

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

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

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

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

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

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Pure Tessellation A tessellation that uses only ONE shape

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Pure Tessellation

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

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Semiregular Tessellation

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Tessellation Used famously in artwork by M.C. Escher

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Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.

Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.

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