Respuesta :

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.