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The polygon() function is for plotting, not for polyhedral computations. You can do the following:
sage: square = Polyhedron([(0,0), (1,0), (0,1), (1,1)])
sage: square
A 2-dimensional polyhedron in ZZ^2 defined as the convex hull of 4 vertices
sage: square.triangulate()
(<0,1,3>, <0,2,3>)
If you are more serious about triangulations, this should get you started. As usual, the online help is your friend if you want to know more:
sage: pc = PointConfiguration([(0,0), (1,0), (0,1), (1,1)])
sage: pc
A point configuration in QQ^2 consisting of 4 points. The triangulations of this point configuration are assumed to be connected, not necessarily fine, not necessarily regular.
sage: pc.triangulations_list()
[(<0,1,2>, <1,2,3>), (<0,1,3>, <0,2,3>)]
