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To solve the problem, we need to determine the type of dilation and the scale factor between the two rectangles \( D \) and \( D' \).

- The dimensions of rectangle \( D \) are 8 (width) by 6 (height).
- The dimensions of rectangle \( D' \) are 12 (width) by 9 (height).

We can compute the scale factor by dividing the corresponding sides of \( D' \) by \( D \):

1. Width scale factor: \( \frac{12}{8} = 1.5 \)
2. Height scale factor: \( \frac{9}{6} = 1.5 \)

Since both scale factors are 1.5 and greater than 1, this is an **enlargement** with a scale factor of **1.5**.

The correct answer is: **Enlargement with scale factor of 1.5**.

Do you want further details, or have any questions?  
Here are 5 related questions to expand your understanding:

1. How do you find a scale factor in dilation for irregular shapes?
2. What is the formula for calculating a reduction in dilation?
3. How does dilation affect area compared to perimeter?
4. Can a dilation have different scale factors for different axes (non-uniform dilation)?
5. How does dilation relate to similarity in geometry?

**Tip:** When dealing with dilation, always check the ratio between corresponding sides to determine if it’s an enlargement or reduction.

Determine the type of dilation shown and the scale factor used between two rectangles D and D'.

Learn how to determine the type of dilation and calculate the scale factor between two rectangles. This problem involves understanding the concept of enlargement and finding the scale factor using geometry. Suitable for students in Grades 6-8.

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