Answer:
Hence, option D is correct (i.e. Distance is not preserved under dilation).
Step-by-step explanation:
<em>" A dilation is a transformation that produces an image that is the same shape as the original, but is a different size ".</em>
A) Angle measure:
Angle measures remains same as there is only a difference in their size the shape does not changes.
Hence angle measure is preserved.
B) Betweenness:
It is also preserved. since if any point in before dilation is between two points than after dilation it remain between them only.
C) Collinearity:
Points remain on the same line.
Hence, it is preserved.
D) Distance:
The distance is not preserved. since the length of the segment increase or decrease in dilation hence distance between two point also increase or decrease.
E) Proportionality:
In a dilation, the sides of the pre-image and the corresponding sides of the image are proportional. Hence it is also preserved.
