Answer: 1/3
Step-by-step explanation:
We know that after dilation with scale factor k the coordinates of pre-image (x,y) map to (kx,ky) of the image.
From the given graph, the coordinate of A =(9,4) and the coordinate of A' (3,2)
Then [tex]x = 9[/tex] and [tex]kx = 3[/tex]
[tex]\Rightarrow k(9)=3\\\\\Rightarrow\ k=\frac{3}{9}\\\\\Rightarrow\ k=\frac{1}{3}[/tex]
Therefore, the scale factor of the dilation is 1/3.
