We can see that they differ in size, so we need to perform a dilation. But what scale factor should we choose? To find it, we will compare the lengths of corresponding sides. In our case, two pairs of corresponding sides are either vertical or horizontal, so we can find their lengths from the graph.
Once we know the lengths, let's find the ratios between the vertical sides and between the horizontal sides.
Side
Corresponding side
Ratio
JL
HI
2/3
KL
HG
5/6
Since the ratios between corresponding sides are different, we know that there is no dilation between the given triangles. This means, we cannot map the triangles using similarity transformations. Therefore, â–ł GHI and â–ł JKL are not similar.
