Question

dilation $d_{v,\frac{2}{5}}$ was performed on a rectangle. how does the image relate to the pre - image? select three options. the image is a reduction because 0 < n < 1. the side lengths of the image are two - fifths the size of the corresponding side lengths of the pre - image. the angles of the image are two - fifths the size of the angles of the pre - image. the center of dilation is at point q. the base of the image is two - fifths the size of the base of the pre - image.

Explanation:

Step1: Recall dilation properties

In dilation with scale - factor $n=\frac{2}{5}$, if $0 < n<1$, it's a reduction.

Step2: Analyze side - length change

Side lengths of image are $n$ times pre - image side lengths, here $\frac{2}{5}$ times.

Step3: Note angle property

Angles remain the same in dilation.

Answer:

The image is a reduction because $0 < n < 1$.
The side lengths of the image are two - fifths the size of the corresponding side lengths of the pre - image.
The base of the image is two - fifths the size of the base of the pre - image.