ANSWER
F(-5, 2.5)
G(5, 5)
H(2.5, -2.5)
EXPLANATION
We have given the vertices of the figure as:
F(-2, 1); G(2, 2); H(1, -1)
To dilate the figure by a scale factor of 5/2, we have to multiply the coordinates of each vertex by 5/2.
That is:
[tex]\begin{gathered} F\Rightarrow\frac{5}{2}(-2,1)\Rightarrow(\frac{5}{2}\cdot-2,\frac{5}{2}\cdot1) \\ F\Rightarrow(-5,2.5) \end{gathered}[/tex][tex]\begin{gathered} G\Rightarrow\frac{5}{2}(2,2)\Rightarrow(\frac{5}{2}\cdot2,\frac{5}{2}\cdot2) \\ G\Rightarrow(5,5) \end{gathered}[/tex][tex]\begin{gathered} H\Rightarrow\frac{5}{2}(1,-1)\Rightarrow(\frac{5}{2}\cdot1,\frac{5}{2}\cdot-1) \\ H\Rightarrow(2.5,-2.5) \end{gathered}[/tex]
That is the answer.
