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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-example-1
User Tariksbl
by
8.6k points

2 Answers

4 votes

Lines EI and HG are parallel

;)

User Cela
by
8.1k points
5 votes

Answer:

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

User Ilya Vo
by
8.0k points
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