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line reflection in x axis
(x,-y) rx-axis
Line reflection in y axis
(-X,y) ry-axis
Line reflection in y =x
(Y,x) ry =x
Line reflection in y = -x
(-Y, -x) ry= - x
Point of reflection in origin
(-X, - y) ro , r(0,0) or Rorigin
Translation
(X+a,y+b) T a, b or T (a,b)
Quarter turn rotation
(-Y,x) R0,90° = ro, - 270°
Half turn rotation
(-X, - y) R0,180° = ro, -180°
Three quarter turn
(Y, - x) R0,270° = ro, -90°
Dilation
(X(k), y(k)) do,k