Reflections
a flip of a figure
Reflection Over the X-Axis
(X, Y) → (X, -Y)
Reflection Over the Y-Axis
(X, Y) → (-X, Y)
Reflection Over the Line Y = X
(X, Y) → (Y, X)
Reflection Over the Line Y = -X
(X, Y) → (-Y, -X)
Rotations
a turn of a figure
Rotation of 90° CW or 270° CCW
(Y, -X)
Rotation of 180° CW or 180° CCW
(-X, -Y)
Rotation of 270° CW or 90° CCW
(-Y, X)
Rotation of 360° CW or 360° CCW
(X, Y)