# 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).

Similarity
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).

2020-12-31

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.