  We construct the most general nonlinear representation of chiral SU(2)_L x
SU(2)_R broken down spontaneously to the isospin SU(2), on a pair of hadrons of
same spin and isospin and opposite parity. We show that any such representation
is equivalent, through a hadron field transformation, to two irreducible
representations on two hadrons of opposite parity with different masses and
axial couplings. This implies that chiral symmetry realized in the
Nambu-Goldstone mode does not predict the existence of degenerate multiplets of
hadrons of opposite parity nor any relations between their couplings or masses.
