The pre-image and image of what transformation are not congruent?

d. dilation.

Step-by-step explanation:

A rigid transformations is a transformation which always produces an image that is exactly same shape and the size as the pre- image.

There are four kinds of rigid transformations:  

1) translation 2) reflection 3) rotation 4) glide reflection.

They all create congruent images.

A dilation is a transformation that creates an image that is the exactly same shape as the pre-image, but may have a different size.  

Thus, The pre-image and image of dilation are not congruent.