  We examine the local geometry of affine surfaces which are locally symmetric.
There are 6 non-isomorphic local geometries. We realize these examples as Type
A, Type B, and Type C geometries using a result of Opozda and classify the
relevant geometries up to linear isomorphism. We examine the geodesic
structures in this context. Particular attention is paid to the Lorentzian
analogue of the hyperbolic plane and to the pseudosphere.
