Which of the following statements is true only if triangles EFI and GFH are similar?
2 answers:
Answer: Choice B
FH/FI = HG/IE
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Explanation:
We're told that triangles EFI and GFH are similar. The order of the lettering is important because it tells us how the angles pair up.
E and G pair up because they are the first letters of EFI and GFH F and F pair up as they are the second letters I and H pair up because they are the third letters This means
Furthermore, it means
EF corresponds to FG FI corresponds to FH IE corresponds to GH Focus on the last two items of the list above. We can then form the proportion
FI/FH = IE/GH
which is the same as
FH/FI = GH/IE
when we apply the reciprocal to both sides. Since HG is the same as GH, we can then say
FH/FI = HG/IE
So basically the corresponding sides create equal ratios to form this proportion. There are many other proportions that can be formed.
Answer:
B
Step-by-step explanation:
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