  We propose a notion of 1-homotopy for generalized maps. This notion
generalizes those of natural transformation and ordinary homotopy for functors.
The 1-homotopy type of a Lie groupoid is shown to be invariant under Morita
equivalence. As an application we consider orbifolds as groupoids and study the
notion of orbifold 1-homotopy type induced by a 1-homotopy between
presentations of the orbifold maps.
