Answer: First option.
Step-by-step explanation:
First it is important to know the definition of "Dilation".
A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.
In this case, you have the Pre-Image JKLM. You can identify in the second picture that the coordinates of its vertices are:
[tex]J(-3,6)\\\\K(6,6)\\\\ L(3,3)\\\\ M(0,3)[/tex]
Since the DIlation is centered at the origin, you can find the coordinates of the Image J'K'L'M' by multiplying each original coordinate by the scale factor (which in this case is [tex]\frac{1}{3}[/tex]). Then, you get:
[tex]J'=(\frac{1}{3}(-3),6*\frac{1}{3})=(-1,2)\\\\K'=(6*\frac{1}{3},6*\frac{1}{3})=(2,2)\\\\ L'=(3*\frac{1}{3},3*\frac{1}{3})=(1,1)\\\\ M'=(0*\frac{1}{3},3*\frac{1}{3})=(0,1)[/tex]
