Baryon to meson Transition Distribution Amplitudes (TDAs) extend the concept of generalized parton distributions. They appear as a building block in the colinear factorized description of amplitudes for a class of hard exclusive reactions prominent examples being hard exclusive pion electroproduction off a nucleon in the backward region and baryon-antibaryon annihilation into pion and a lepton pair. We discuss general symmetry properties of these objects following from the underlying symmetries of QCD. In particular, Lorentz symmetry results in the polynomiality property of the Mellin moments in the corresponding longitudinal momentum fractions. We generalize the notion of double distributions introduced in the context of GPDs for baryon to meson TDAs and construct a spectral representation for baryon to meson TDAs in terms of quadruple distributions. Using chiral symmetry and the crossing relation between pi N TDAs and pi N generalized distribution amplitudes we establish threshold soft pion theorems for $\pi N$ TDAs which determine the magnitude of pi N TDAs. We argue that this information may be used as input for realistic modeling of pi N TDA. A possible approach may consist in ``skewing'' the \xi=1 limit for pi N TDAs similarly to the fact that ``skewing'' the forward limit for GPDs provides the basis for the successful Ansatz for GPDs.