reflected in the x-axis

(x,-y)

reflection in the y-axis

(-x,y)

reflection in the line y=x

(y,x)

reflection in the line y=-x

(-y,-x)

rotation 270 degrees clockwise

c (-y,x)

rotation 180 degrees

(-x,-y)

rotation 90 degrees counter clockwise

cc (-y,x)

rotation 270 degrees counter clockwise

cc (y,-x)

rotation 90 degrees clockwise

c (y,-x)

ridged motion

preserves same size and shape