The coordinates of the given figure are:
G(-2,3)
H(-3,-4)
I(4,1)
When you apply a dilation by a factor k, the new coordinates will be the result of multiplying each original coordinate by the scale factor as:
[tex](x,y)\rightarrow(kx,ky)[/tex]
The scale factor is 2.5, then the new coordinates will be:
[tex]\begin{gathered} G^{\prime}:(-2\times2.5,3\times2.5)\rightarrow(-5,7.5) \\ H^{\prime}:(-3\times2.5,-4\times2.5)\rightarrow(-7.5,-10) \\ I^{\prime}:(4\times2.5,1\times2.5)\rightarrow(10,2.5) \end{gathered}[/tex]
The answer is the last option. G'(
