AB = AX+XB = 6+18 = 24
The ratio of AB to AX is AB/AX = 24/6 = 4
AC = AY+YC = 10+25 = 35
The ratio of AC to AY is AC/AY = 25/10 = 3.5
The results of each division are 4 and 3.5
We do not get the same result, which means that the proportion
is not true. This is sufficient to prove that the triangles aren't similar. We need them to be in proportion so that we can use the SAS similarity rule.
Answer: The triangles aren't similar