Answer: The scale factor of the dilation =3
Step-by-step explanation:
We know that if we transform point (x,y) by using dilation with scale factor k then the coordinate of the image will be (kx,ky).
Given: under a dilation, the point (2, 6) is moved to (6, 18)
Here (x,y)=(2,6) and (kx,ky)=(6,18)
[tex]\\\Rightarrow\ x=2\ and\ kx=6\\\Rightarrow\ k(2)=6\\\Rightarrow\ k=3[/tex]
Hence, the scale factor for the given dilation= 3.
