Let's first add the given information, GH≅ MN and ∠G≅ ∠M to the diagram.
We are supposed to use the AAS Congruence Theorem. This requires us to know two angles and a side that is not between the angles. Of the triangle's two remaining angles, there is only one pair of angles that fulfill the AAS Congruence Theorem: ∠F and ∠L. Let's mark them.
Now we can copy and complete the statement.
&Given GH≅ MN, ∠G ≅ ∠M, ∠F≅ ∠L
&Use the AAS Congruence Theorem
