1. reflection over x axis
 (x,y) --> (x,-y)
2. Reflection over y axis
 (x,y) --> (-x,y)
3. Reflection over y=x
 (x,y)--> (y,x)
4. Reflection over y= -x
 (x,y)--> (-y,-x)
5. 90 degrees CW
 (x,y)--> (y,-x)
6. 90 degrees CCW
 (x,y)--> (-y,x)
7. 180 degrees (CW or CCW)
 (x,y)--> (-x,-y)
8. Translation
 (x,y)--> (x+a, y+b)
9. 270 degree rotation CW
 (-y, x)
10. 270 degree rotation CCW
 (y, -x)