Transformations
Move a figure around the coordinate grid.
No change the size or shape of figure.
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Change in X-Coordinate moves figure left and right*
(horizontally, like x axis)
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Subtract from x coordinate
(Example Rule: X-2)
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Add to the x coordinate
(Example Rule: X+3)
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Moves the figure to the left
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Moves the figure to the right
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Change in Y-Coordinate moves figure up and down*
(vertically, like y axis)
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Subtract from y coordinate
(Example Rule: y-2)
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Add to the y coordinate
(Example Rule: y+3)
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Moves the figure down
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Moves the figure up
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*It is common to make more than one transformation to a figure at one time. For example, you could slide a figure up and over (x+4, y+2).
Change the Size of the Figure (to make a Similar Figure)
-OR-
Change the Size and Shape of the Figure
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Change the Size of the Figure (to make a SIMILAR Figure)
Multiply or Divide all the Coordinates or Line Segments
by the SAME Scale Factor
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Multiply both the x and y coordinates (or all line segments) by the same scale factor to make bigger similar figure
Example rule: (3x, 3y)
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Divide both the x and y coordinates (or all line segments) by the same scale factor to make smaller similar figure
Example rule: (x2 , y2)
can also be written as (½ x, ½ y)
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Change the Size and Shape of the Figure (to make a NON- SIMILAR figure)
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Multiply the x and y coordinates (or all line segments) by a different scale factor to make
bigger non-similar figure)
Example rule: (4x, 5y)
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Divide the x and y coordinates (or all line segments) by a different scale factor to make
smaller non-similar figure)
Example rule: (x4 , y5)
can also be written as (14 x, 15 y)
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