dilation $d_{v,\frac{2}{5}}$ was performed on a rectangle. how does the image relate to the pre - image…

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

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

Answer

Answer:

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

Explanation:

Step1: Understand dilation property

When the scale factor $n=\frac{2}{5}$ and $0 < n<1$, it's a reduction.

Step2: Analyze side - length change

The scale factor determines side - length ratio. For a scale factor of $\frac{2}{5}$, side lengths of image are $\frac{2}{5}$ of pre - image side lengths.

Step3: Consider base length

The base is a side, so base of image is $\frac{2}{5}$ of pre - image base. Also, angles remain the same in dilation and center of dilation is not given as point Q in the problem description.