Dilation D_(v)(2)/(5) was performed on a rectangle. How does the image relate to the pre-image? Select three option The image is a reduction because 0lt nlt 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.

To determine how the image relates to the pre-image after a dilation with a scale factor of $$\frac{2}{5}$$ , let's analyze each option:

1. **The image is a reduction because $$0 < n < 1$$ **:
- This statement is correct. Since the scale factor $$\frac{2}{5}$$ is between 0 and 1, the dilation results in a reduction.

2. **The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image**:
- This statement is correct. The scale factor $$\frac{2}{5}$$ means that each side length of the image is $$\frac{2}{5}$$ times the corresponding side length of the pre-image.

3. **The angles of the image are two-fifths the size of the angles of the pre-image**:
- This statement is incorrect. Dilation does not change the measures of the angles; they remain the same in both the pre-image and the image.

4. **The center of dilation is at point Q**:
- This statement cannot be determined from the given information. The center of dilation is not provided in the problem statement.

5. **The base of the image is two-fifths the size of the base of the pre-image**:
- This statement is correct. Since the scale factor is $$\frac{2}{5}$$ , the base of the image is $$\frac{2}{5}$$ times the size of the base of the pre-image.

Therefore, the correct options are:
- 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.