A rotation is a transformation in which a figure is turned about a fixed point. A rotation can be graphed as an angle , a direction ( clockwise or counter clockwise) , and at a center of rotation. These ways a rotation can be graphed is by 90 degrees, 180 degrees, and 270 degrees with different type of rules.
* With a 90 degree rotation the rule is that (x,y) turns to (-y,x)
Example: A graphed 90 degree rotation
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| (x,y) turns to (-y,x) (4 , 1) now is (-1 , 4) (4,4) now is (-4,4) (1,1) now is (-19,1) |
* With a 180 degree rotation the rule is that (x,y) turns to (-x,-y)
Example: A graphed 180 degree rotation
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| (x,y) turns to (-y,-x) |
So point (4,2) rotated 180 degrees becomes (-4,-2)
* With a 270 degree rotation the rule is that (x,y) turns to (y,-x)
Example: A graphed 270 degree rotation
Points (5,8) and (9,5) would become (8,-5) and (5,-9)
NOW YOU TRY IT !!!
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*images from Google and regentsprep.org*
