Question

Which statement is a proportionality statement for the ratio of the sides of the triangles?

Answer 1

I believe the answer is B. BC/EF is in the same placement as well as the other letters in the answer.

Answer 2

Answer:

Option B.

Explanation:

Given information: $\triangle ABC\sim \triangle DE F$

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.

$\triangle ABC\sim \triangle DE F$, it means AB, BC, AC are corresponding sides of DE, EF, DF respectively.

Using the definition of similarity we get

$\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}$

It can arranged as

$\dfrac{BC}{EF}=\dfrac{AC}{DF}=\dfrac{AB}{DE}$

Therefore, the correct option is B.