The dilation $D_{V,\frac{2}{5}}$ means that the rectangle is being reduced by a scale factor of $\frac{2}{5}$. Here’s the analysis of each option:

1. The image is a reduction because $0 < n < 1$:
   True. The scale factor $\frac{2}{5}$ is between 0 and 1, meaning the image will be smaller than the pre-image, which corresponds to a reduction.

2. The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image:
   True. Since the scale factor is $\frac{2}{5}$, each side of the image is $\frac{2}{5}$ the size of the corresponding side of the pre-image.

3. The angles of the image are two-fifths the size of the angles of the pre-image:
   False. Dilations do not affect the angles; they remain the same size. The angles in the image will be identical to the angles in the pre-image.

4. The center of dilation is at point Q:
   This statement is not guaranteed to be true based on the information provided. The center of dilation could be at any point, not necessarily at point Q. Without further details, we cannot assert this as true.

5. The base of the image is two-fifths the size of the base of the pre-image:
   True. Since the dilation factor is $\frac{2}{5}$, the base of the image will be $\frac{2}{5}$ the length of the base of the pre-image.

Correct options:

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.

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Would you like a more detailed explanation of any of these concepts, or do you have any questions? Here are some additional questions related to dilation and transformations:

1. What happens to the area of the image during a dilation with a scale factor between 0 and 1?
2. How can you find the center of dilation for a specific transformation?
3. What are the effects of a dilation with a scale factor greater than 1?
4. How do dilations compare to translations and rotations in terms of transformations?
5. What would happen to the image if the scale factor was negative?

Tip: Remember that dilations preserve the shape but change the size, so angles remain the same but side lengths are affected by the scale factor.