Answer
Angle H corresponds to Angle F.
Angle K corresponds to Angle E,
Angle HGK corresponds to Angle FGE.
Side HG corresponds to Side GF.
Side HK corresponds to Side EF.
Side GK corresponds to Side EG.
Work Step by Step
Let's remember that for triangle GHK and triangle EFG to be similar, two conditions must be met:
1) The corresponding angles have the same measure.
2) The corresponding sides are proportional.
As both triangles share Angle G and the segments HK and EF are parallel, we could see the pair of triangles as angle pairs of parallel lines intersected by the transversal HF and the transversal KE which meet at point G.
In this case, angles H and F are alternate interior angles which make their angle measures equal. Angles K and E are also alternate interior angles, with equal angle measures.
To name the angle G in both triangles, just name the three vertices that make up the angle, with the angle you are referring to in the middle. Therefore, angle HGK corresponds to angle FGE.
Because of the relationship between the angles, the sides correspond as the ratio between their angles is proportional.
