To sketch:The graph from the points and verify that the dilation is a similarity transformation. Given information: G(-4,-4),H(-1,2),J(2,-1),K(-3,-2)L(1,0).

Graph:
Consider the given points G(-4,-4),H(-1,2),J(2,-1),K(-3,-2)L(1,0).
Now, draw the graph.

Interpretation:
From the figure there are two triangles ${\displaystyle \mathrm{△}HKL\text{and}\mathrm{△}HGJ}$.
Now,
Slop of KL = Slop of ${\displaystyle CJ=\frac{1}{2}}$
Thus, ${\displaystyle KL\mid \mid GJ}$
Thus, the corresponding angles are congruent.
Thus, by AA similarity theorem triangles are similar.