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.