Question

a. does distance between points change under a dilation?
it does not change
it does change

Explanation:

Dilation is a transformation that scales (enlarges or reduces) a figure by a scale factor relative to a center point. When a dilation is applied, the distance between points changes because the lengths of segments (which are related to the distance between their endpoints) are multiplied by the scale factor (unless the scale factor is 1, but even then, the key is that dilation is a scaling transformation that affects distances). So the distance between points does change under dilation.

Answer:

It does change