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 of the lengths of the corresponding sides of the figures.
Side
Corresponding side
Ratio
DE
LM
2/2=1
FG
NP
3/5
DG
LP
2/2=1
Since the ratios between corresponding sides are different, we know that there is no dilation between the given trapezoids. This means, we cannot map the quadrilaterals using similarity transformations. Therefore, trapezoids DEFG and LMNP are not similar.
