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 is twice the measure of segment jk.
segment gh is twice the measure of segment gj.
triangles δghi and δgjk are not similar.
∠h ≅ ∠j