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

Answer:

lines EI and HG are parallel

Step-by-step 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

$\frac{EF}{FG}=\frac{FI}{FH}=\frac{EI}{GH}$

substitute the given values

$\frac{6}{3}=\frac{FI}{FH}=\frac{EI}{GH}$

$2=\frac{FI}{FH}=\frac{EI}{GH}$

If lines EI and HG are parallel

then the triangles are similar by AA Similarity Theorem

therefore

lines EI and HG are parallel