Which of the following statements is true only if triangles EFI and GFH are similar? A) two segment FI equals three segment FH B) segment FH over segment FI equals segment HG over segment IE C) Points E, F, and G are collinear D) ∠F ≅ ∠G

Answer

B) Segment FH over segment FI equals serment HG over segment IE.

Explanation

This is because in similar triangles, the sides are ratios/multiples of each other.

E.g.

Small Triangle

Hypotenuse = 5
Adjacent = 3
Opposite = 4

Big Triangle

Hypotenuse = 10
Adjacent = 6
Opposite = 8

All sides in big triangle are twice that of the small triangle.

Consider ratio of hypotenuse and adjacent

5/10 = 3/6

This is the same value.

The other statements can be elements of triangles without them needing to be similar