If a translation maps ∠I onto ∠K, which of the following statements is true?

Triangles HGI and JGK; point H is between points J and G on segment JG, and point I is between points G and K on segment GK.

segment HI = segment JK
ΔGHI ~ ΔGJK
segment GH = segment GJ
∠G ≅ ∠K