Each vertex of the rectangle is multiplied by the complex number z producing an image of the rectangle which is the result of an enlargement and a rotation.

Rectangle ABCD is fixed. Move the complex number z around to see the effect it has on EFGH, the image of ABCD.[br]Notice (1) the link between the modulus and the scale of the enlargement and[br](2) the effect that the angle of z to the real axis has on the rotation.