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Transformations and Tesselations
By: Christine Berg Edited By: VTHamilton
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Movements of a figure in a plane May be a SLIDE, FLIP, or TURN
Transformation Movements of a figure in a plane May be a SLIDE, FLIP, or TURN
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Another name for a SLIDE
Translation Another name for a SLIDE A A’ C B C’ B’ A’, B’ and C’ are explained in the next slide...
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The figure you get after a translation
Image The figure you get after a translation A A’ Slide C B C’ B’ Original Image The symbol ‘ is read “prime”. ABC has been moved to A’B’C’. A’B’C’ is the image of ABC.
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Finding the amount of movement LEFT and RIGHT and UP and DOWN
Writing a Rule Finding the amount of movement LEFT and RIGHT and UP and DOWN
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Writing a Rule Right 4 (positive change in x) Down 3 (negative
9 8 7 6 5 4 3 2 1 Right 4 (positive change in x) B Down 3 (negative change in y) B’ A C A’ C’
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Can be written as: R4, D3 (Right 4, Down 3) (x+4, y-3)
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 A A’ C B B’ C’
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Used to create SYMMETRY on the coordinate plane
Reflection Used to create SYMMETRY on the coordinate plane
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When one side of a figure is a MIRROR IMAGE of the other
Symmetry When one side of a figure is a MIRROR IMAGE of the other
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The line you reflect a figure across
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 C’ B’ B A’ C A
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A transformation that turns about a fixed point
Rotation A transformation that turns about a fixed point
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Center of Rotation The fixed point C’ B’ B A’ C A (0,0)
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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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Measuring the degrees of rotation
Rotating a Figure Measuring the degrees of rotation C’ B’ B A’ 90 degrees C A
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