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 \(\displaystyle\triangle{H}{K}{L}{\quad\text{and}\quad}\triangle{H}{G}{J}\).

Now,

Slop of KL = Slop of \(\displaystyle{C}{J}=\frac{{1}}{{2}}\)

Thus, \(\displaystyle{K}{L}{\mid}{\mid}{G}{J}\)

Thus, the corresponding angles are congruent.

Thus, by AA similarity theorem triangles are similar.