Question

Which scale factors produce an expansion under a dilation of the original image?
Select each correct answer.
0.1
0.9
2
7.5

Answer 1

When considering dilation in geometry, a scale factor less than 1 results in a reduction (shrinkage) of the original image, while a scale factor greater than 1 results in an expansion of the original image.

Here are the answers based on the provided scale factors:

- **0.1**: This is a scale factor less than 1, which means it produces a reduction.
- **0.9**: This is also a scale factor less than 1, which means it produces a reduction.
- **2**: This is a scale factor greater than 1, which means it produces an expansion.
- **7.5**: This is a scale factor greater than 1, which means it produces an expansion.

Thus, the correct answers that produce an expansion under a dilation of the original image are **2** and **7.5**.