The transformations I know of are flip, stretch, shrink, or crop.
Flip will flip the picture vertically or horizontally as specified.
Stretch will project the picture onto a larger grid of pixels.
Shrink will project the picture onto a smaller grid of pixels.
Crop trims any edges you want off the picture.
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It is called an image.
It is the image from the transformation.
A rigid transformation is a geometrical term for the pre-image and the image both having the exact same size and shape.
Dilation - the image created is not congruent to the pre-image
IMAGE