Answer:
[tex]\dfrac{1}{2}[/tex]
Step-by-step explanation:
It is given that triangle ACB is the preimage and triangle DFE is the image.
We need to find the scale factor of the dilation.
[tex]\text{Scale factor}=\dfrac{\text{Side of image}}{\text{Corresponding side of preimage}}[/tex]
In the given triangles, side AC and DF are corresponding sides.
[tex]\text{Scale factor}=\dfrac{DF}{AC}[/tex]
[tex]\text{Scale factor}=\dfrac{6}{12}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{2}[/tex]
Therefore, the scale factor of the dilation is [tex]\dfrac{1}{2}[/tex].
