Answer:
The correct option is 1. The scale factor is 1/2.
Step-by-step explanation:
The given rule of dilation is
[tex]D_{o,K}:(6,12)\rightarrow (3,6)[/tex]
Where, o is origin or center of dilation and K is scale factor.
If a figure is dilation by scale factor K and center of dilation at origin, then
[tex]P(x,y)\rightarrow P'(kx,ky)[/tex]
It means
[tex]\text{Scale Factor}=\frac{\text{x-coordinate of image}}{\text{x-coordinate of preimage}}[/tex]
[tex]K=\frac{3}{6}[/tex]
[tex]K=\frac{1}{2}[/tex]
The scale factor is 1/2. Therefore the correct option is 1.
