contestada

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

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

Respuesta :

calculista

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

[tex]\frac{EF}{FG}=\frac{FI}{FH}=\frac{EI}{GH}[/tex]

substitute the given values

[tex]\frac{6}{3}=\frac{FI}{FH}=\frac{EI}{GH}[/tex]

[tex]2=\frac{FI}{FH}=\frac{EI}{GH}[/tex]

If lines EI and HG are parallel

then the triangles are similar by AA Similarity Theorem

therefore

lines EI and HG are parallel

Lines EI and HG are parallel

;)