Given:
[tex]OA=3[/tex] units
[tex]OA'=9[/tex] units
To find:
The scale factor of the dilation.
Solution:
From the given figure it is clear that the center of dilation is point O. Point A' is the image of point A. So,
[tex]\text{Scale factor}=\dfrac{OA'}{OA}[/tex]
Putting the given values, we get
[tex]\text{Scale factor}=\dfrac{9}{3}[/tex]
[tex]\text{Scale factor}=3[/tex]
Therefore, the scale factor of the dilation is 3.
