Tuesday, January 19, 2016

Transformations

Transformations
Move a figure around the coordinate grid.
No change the size or shape of figure.

Change in X-Coordinate moves figure left and right*
(horizontally, like x axis)
Subtract from x coordinate
(Example Rule: X-2)
Add to the x coordinate
(Example Rule: X+3)
Moves the figure to the left
Moves the figure to the right

Change in Y-Coordinate moves figure up and down*
(vertically, like y axis)
Subtract from y coordinate
(Example Rule: y-2)
Add to the y coordinate
(Example Rule: y+3)
Moves the figure down
Moves the figure up
*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

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
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)
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)
Change the Size and Shape of the Figure (to make a NON- SIMILAR figure)
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)
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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