Answer:
Option B.
Explanation:
Given information: [tex]\triangle ABC\sim \triangle DE F[/tex]
We need to find the proportionality statement for the ratio of the sides of the triangles.
If two triangles are similar, then the corresponding sides are proportional.
[tex]\triangle ABC\sim \triangle DE F[/tex], it means AB, BC, AC are corresponding sides of DE, EF, DF respectively.
Using the definition of similarity we get
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]
It can arranged as
[tex]\dfrac{BC}{EF}=\dfrac{AC}{DF}=\dfrac{AB}{DE}[/tex]
Therefore, the correct option is B.
