We explain why it is necessary to use boundary conditions in the proof of supersymmetry of a supergravity action on a manifold with boundary. Working in both boundary ("downstairs") and orbifold ("upstairs") pictures, we present a bulk-plus-boundary/brane action for the five-dimensional (on-shell) supergravity which is supersymmetric with the use of fewer boundary conditions than were previously employed. The required Gibbons-Hawkinglike Y -term and many other aspects of the boundary/orbifold picture correspondence are discussed. * Present address: DESY-T, Notkestrasse 85, 22603 Hamburg, Germany 1 The spinors ΨMi and Hi are symplectic Majorana (see Appendix A). The index i can be rotated by Ui j ∈ SU (2): Ψ ′ i = Ui j Ψj. The (global) SU (2) is the automorphism symmetry group of the algebra when λ q = 0. The real vector q = (q1, q2, q3) indicates which U (1) subgroup of the SU (2) has been gauged [16,7]. One can set it to be a unit vector, q 2 = 1. 2 The algebra closes exactly only on the bosonic fields e A M and BM . For the gravitino, ΨMi, additional non-closure terms appear, proportional to its equation of motion. For the off-shell supersymmetry algebra see Ref. [18].