https://file.aiquickdraw.com/mathbot/file/1729612687181x21xmf3h.jpg

To solve this problem, we need to determine two things:
1. Whether the dilation from point \( A \) to point \( B \) is an enlargement or a reduction.
2. The scale factor of the dilation.

### Step 1: Determine if it is an enlargement or reduction
Looking at the image, we can measure the distances from the origin \( O \) to points \( A \) and \( B \). Point \( A \) appears to be closer to the origin than point \( B \). Since point \( B \) is farther from the origin than point \( A \), this means the dilation results in an enlargement.

### Step 2: Find the scale factor
The scale factor is determined by the ratio of the distance from the origin to point \( B \) over the distance from the origin to point \( A \).

- Distance from \( O \) to \( A \): It looks like \( A \) is located at \( (0, 7) \), which means the distance is 7 units.
- Distance from \( O \) to \( B \): It appears that \( B \) is located at \( (0, 5) \), so the distance is 5 units.

The scale factor \( k \) is:
\[
k = \frac{\text{Distance from O to B}}{\text{Distance from O to A}} = \frac{7}{5}
\]

Since the distance increases, it is an **enlargement** with a scale factor of \( \frac{7}{5} \).

### Conclusion:
The correct answer is:
- **Enlargement; \( \frac{7}{5} \)**

Let me know if you need more details or have any questions!

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Here are 5 related questions for further practice:
1. What happens to the shape of a figure after a dilation with a scale factor less than 1?
2. How do you find the coordinates of a point after dilation given a scale factor and the center of dilation?
3. What is the difference between a reflection and a dilation in terms of transformations?
4. How do dilations affect the area of a figure?
5. How can you determine the scale factor if you are given the original and the dilated image?

**Tip:** A scale factor greater than 1 results in an enlargement, while a scale factor between 0 and 1 results in a reduction.

Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor of the dilation.

Learn how to determine whether a dilation from point A to point B is an enlargement or reduction, and calculate the scale factor using the ratio of distances. This problem covers key geometry concepts such as dilation and scale factor, suitable for students in Grades 8-10.

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