
Kenneth S. answered 08/25/16
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When an image is rotated counterclockwise, the former positive x-axis becomes the new positive yaxis, and the former positive y axis becomes the new negative x axis.
This can be summarized as (x,y) ⇒ (-y,x).
You can apply this transformation two times in a row, for a ccw 180o transformation.
Do it yet a third time for the ccw 270o transformation.
Rotating 360o accomplishes nothing--you're exactly back where you began as if no rotation had occurred.