Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).
Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is
We know that,
Divide both sides by 9.
Therefore, the value of y is 12.