Question

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

A. AB/EF = AC/DF = BC/DE

B. BC/EF = AC/DF = AB/DE

C. AC/DF = AB/EF = BC/DE

D. Not enough information.

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

Option B.

Step-by-step 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

`(AB)/(DE)=(BC)/(EF)=(AC)/(DF)`

It can arranged as

`(BC)/(EF)=(AC)/(DF)=(AB)/(DE)`

Therefore, the correct option is B.