Which of the following statements is true only if triangles EFI and GFH are similar?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

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adioabiola adioabiola · Answer 2 · 2021-11-03T12:18:04+01:00

The statements which are true only if the triangles EFI and GFH are similar are;

Lines EI and HG are parallel
Points E, F , and G are collinear
EI/FI = GH/FH

Definition:

Two triangles can be considered similar if the angles of the triangle are the same size or the corresponding sides are in the same ratio.

According to the definition above;

Line EI and HG are parallel since the triangles are said to be similar.

Additionally, It is evident that Points E, F , and G are collinear.

Lastly, The ratio of lines EI/FI = GH/FH because the sides are corresponding and as such, they are in the same ratio.