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: Analyze dilation factor

The dilation factor $n = \frac{2}{5}$, and since $0<\frac{2}{5}<1$, it's a reduction.

Step2: Understand side - length change

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

Step3: Recall angle property

Angles remain unchanged in dilation. And no info about center point is given.

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.