Question

If segment EF = 6 and segment FG = 3, which of the following statements are enough to prove that triangles EFI and GFH are similar?

Answer 1

Lines EI and HG are parallel

;)

Answer 2

lines EI and HG are parallel

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

If triangles EFI and GFH are similar

then

`(EF)/(FG)=(FI)/(FH)=(EI)/(GH)`

substitute the given values

`(6)/(3)=(FI)/(FH)=(EI)/(GH)`

`2=(FI)/(FH)=(EI)/(GH)`

If lines EI and HG are parallel

then the triangles are similar by AA Similarity Theorem

therefore

lines EI and HG are parallel