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Translation Right
(x+y)>(x+a,y)
Translation left
(x+y)>(x-a,y)
Translation Up
(x,y)>(x,y+b)
Translation down
(x,y)>(x,y-b)
Rotation 90°
(x,y)>(y,-x)
Rotation 180°
(x,y)>(-x,-y)
Rotation 270°
(x,y)>(-y,x)
Rotation Counterclockwise 90°
(x,y)>(-y,x)
Rotation counterclockwise 180°
(x,y)>(-x,-y)
Rotation Counterclockwise 270°
(x,y)>(y,-x)
Reflection Across X
(x,y)>(x,-y)
Reflection Across Y
(x,y)>(-x,y)
Reflection Across y=x
(x,y)>(y,x)
Reflection Across y=-x
(x,y)>(-y,-x)
Dilation
(x,y)>(kx,ky)
Reduction
(x,y)>(1/2x,1/2y)