Answer: second option.
Step-by-step explanation:
In Transformations, the original figures is called "Pre-Image" and the figure obtained after the transformations is called "Image".
For this exercise it is also important to know the definition of "Dilation".
Dilation is defined as a transformation in which the Image and the Pre-Image have the same shape, but their sizes are different.
In Dilation centered at the origin, the rule is the following:
[tex](x,y)[/tex] →[tex](kx,ky)[/tex]
Where "k" is the scale factor.
Therefore, knowing that in this case the dilation is centered at the origin anf the scale factor is:
[tex]k=\frac{2}{3}[/tex]
You can determine that the coordinate rule is:
[tex](x,y)[/tex] → [tex](\frac{2}{3}x,\frac{2}{3}y)[/tex]
