A dilation is never an isometry.
I know this because I got the answer wrong on a quiz and I my teacher told me the correct choice.
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Dilation.
Dilation
A isometry is a transformation where distance (aka size) is preserved. In a dilation, the size is being altered, so no, it is not an isometry.
Dilation - the image created is not congruent to the pre-image
Because the image is not the same size as the preimage. To do a dilation all you do is make the image smaller or larger than it was before.