Final answer:
The scale factor of the dilation between the black shape and the green shape is 1/4.
Step-by-step explanation:
The scale factor of the dilation is 1/4.
To find the scale factor, you need to compare the corresponding side lengths of the black shape and the green shape. The scale factor is the ratio of the length of a side of the green shape to the length of the corresponding side of the black shape.
For example, if the black shape has a side length of 8 units and the green shape has a corresponding side length of 2 units, the scale factor would be 2/8, which simplifies to 1/4.