Answer:
They are similar by the definition of similarity in terms of a dilation.
Step-by-step explanation:
The first step is finding the sides of each triangle.
In triangle GHI, we have that:
GH = sqrt((4-2)^2 + (8-4)^2) = 4.4721
HI = sqrt((8-4)^2 + (4-8)^2) = 5.6569
IG = sqrt((2-8)^2 + (4-4)^2) = 6
Now, for the triangle JKL, we have:
JK = sqrt((2-1)^2 + (3-1)^2) = 2.2361
KL = sqrt((4-2)^2 + (1-3)^2) = 2.8284
LJ = sqrt((1-4)^2 + (1-1)^2) = 3
The triangles are not congruent, because the sides are different
They are similar, because their sides have a proportion (sides of GHI are 2 times the sides of JKL). If they are similar, they have the same angles.
The ratio of their corresponding sides is 1:2, not 1:3
The ratio of their corresponding angles is 1:1, not 1:3
