What additional information do you need to prove triangle ghi is congruent to triangle def?

We are given that the sides GH and DE of the triangles are congruent.

Also, we are given that the angles H and E are congruent.

i) if we are given that HI is congruent to EF, then the triangles are congruent, by Side Angle Side postulate.

or

ii) if we are given that angles G and D are congruent, then the triangles are congruent by the Angle Side Angle postulate.