The similarity theorem that identifies the given relationship correctly would be:
B). AABC - ADEF by SAS Similarity Theorem
What is SAS Similarity?
The SAS similarity Theorem state that in the situation where the ratio shared by the sides of two triangles remains the same and one of their angles stays equal, both the triangles would be similar.
In the given two triangles,
ΔABC and ΔDEF
The ratio of the sides are:
[tex]\frac{BC}{AB} = \frac{EF}{DE}[/tex]
so,
[tex]\frac{5}{15} = \frac{4}{12} = \frac{1}{3}[/tex]
and,
∠B = ∠E = 86°
Since the ratios shared by the two sides are equal in both the given triangles and one angle is equal, the triangles are the same.
Thus,
ΔABC ~ ΔDEF
Learn more about "Theorem" here:
brainly.com/question/19258025