In this paper, we provide a partial geometric characterization of the Independence of Irrelevant Alternatives (IIA) Axiom, called Independence of Irrelevant Transfers (IIT) as also a characterization of the Nash Bargaining Solution without the IIA Axiom. The characterization has been motivated by the work of Shapley (1969) and Thomson (1981) to a very great extent and contributes to the growing literature on bargaining solutions without the IIA Axiom.