By definiton, Dilation is a transformation in which the Pre-Image (the original figure) and the Image (the figure obtained after a transformation) have the same shape, but their sizes are different.
In this case, knowing that the green shape is a dilation of the black shape, you can identify that:
- The black shape is the Pre-Image.
- The green shape is the Image.
Now, observe the picture. You can notice that the shortest side of the black shape has a lenght of 7 units and the corresponding side of the green shape has a length of 14 units.
Knowing the above, you can find the scale factor as following:
[tex]\begin{gathered} s.factor=\frac{14units}{7units} \\ \\ s.factor=2 \end{gathered}[/tex]
The answer is: The scale factor is 2
