Image Vs Preimage Geometry. The preimage and image are the same size and shape also and all the points correspond to each other. Preimage the original figure in a transformation.

Similarly the inverse image or preimage of a given subset b of the codomain of f is the set of all elements of the domain that map to the members of b. An image from latin. Preimage point a point to which a transformation has been applied.
More generally evaluating a given function f at each element of a given subset a of its domain produces a set called the image of a under or through f.
Preimage the original figure in a transformation. The image we go from a subset of our domain to a subset of our codomain. The image is the result of performing a transformation and the preimage is the original that you perform the transformation. To tell them apart they will usually be defined separately.