Final answer:
To determine the scale factor of a dilation, one measures the dimensions of both the original and the dilated shapes, then divides the dimension of the dilated shape by the dimension of the original shape. Without specific numerical values provided for the green and black shapes, it is not possible to choose from the given scale factor options.
Step-by-step explanation:
The question asks to find the scale factor of a dilation where the green shape is a dilation of the black shape. The problem is similar to scale factor problems that deal with dimensions and proportions, such as those in scale drawings, lenses, and mirror reflections. While the original question about the green and black shapes doesn't provide specific numerical values, we can discuss how one would determine the scale factor using a step-by-step explanation, focusing on the concept of proportionality.
If we know the dimensions of the original shape (let's say length L), and we measure the dimensions of the dilated shape (length l), the scale factor is the ratio of the dilated dimension to the original dimension. In formula terms, this would be scale factor = l / L. Depending on whether the new dimension is larger or smaller, the scale factor would be greater than or less than 1, respectively.
Without specific numerical examples for the shapes in question, we can't provide a definitive answer from the given options, but understanding this process is crucial to solving any problem regarding dilations and scale factors. Applying this to provided examples like scale drawings, lenses, or mirror reflection questions gives insight into how scale factors operate more generally and affect different subject areas such as mathematics and physics.