The polygons are similar based on all of the following;
Similar: Yes
Similarity statement: ΔEFG ~ ΔLMN
Scale factor: 1/3.
In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Based on the angle, angle, angle (AAA) similarity theorem, we can logically deduce that triangle EFG and triangle LMN are both congruent or similar due to the following reasons:
∠E ≅ ∠L.
∠F ≅ ∠M.
∠G ≅ ∠N.
ΔEFG ≅ ΔLMN
For the scale factor, we have the following;
Scale factor = side length of image/side length of pre-image
Scale factor = FG/MN
Scale factor = 17/51
Scale factor = 1/3.