If two figures are similar, all of their pairs of corresponding sides have the same ratio:
To prove if the given figures are similar find the ratio between corresponding sides (to identify corresponding sides start with the smaller side in both figures and follow this logic):
As the ratio between corresponding sides is the same (1.6); triangle ABC is similar to traingle YZX
Transformations from ABC to YZX: ABC (preimage) is dilated to get YZX (Image)
Find the factor of dilation:
Then, the transformation from ABC to YZX is a dilation with a factor of 5/8