  The GLAST satellite mission will study the gamma ray sky with considerably
greater exposure than its predecessor EGRET. In addition, it will be capable of
measuring the arrival directions of gamma rays with much greater precision.
These features each significantly enhance GLAST's potential for identifying
gamma rays produced in the annihilations of dark matter particles. The combined
use of spectral and angular information, however, is essential if the full
sensitivity of GLAST to dark matter is to be exploited. In this paper, we
discuss the separation of dark matter annihilation products from astrophysical
backgrounds, focusing on the Galactic Center region, and perform a forecast for
such an analysis. We consider both point-like and diffuse astrophysical
backgrounds and model them using a point-spread-function for GLAST. While the
results of our study depend on the specific characteristics of the dark matter
signal and astrophysical backgrounds, we find that in many scenarios it is
possible to successfully identify dark matter annihilation radiation, even in
the presence of significant astrophysical backgrounds.
