Question

What is not preserved under dilation? Select all that apply.

Answer 1

Answer:

Hence, option D is correct (i.e. Distance is not preserved under dilation).

Step-by-step explanation:

" A dilation is a transformation that produces an image that is the same shape as the original, but is a different size ".

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.