  We summarize the results of 7 mm VLBA imaging of Sgr A* and discuss some of
the difficulties of accurately constraining the size of Sgr A* with VLBI
observations. Our imaging results are fully consistent with the hypothesis that
the VLBA image of Sgr A* is a resolved elliptical Gaussian caused by the
scattering of an intervening thermal plasma. We show that determination of the
minor axis size at 7 mm with the VLBA is very unreliable.
  We also present new polarimetric observations from the VLA and from the BIMA
array of Sgr A*. At 4.8 GHz, we find an upper limit to the polarization of
0.1%. At 86 GHz, we report a marginal detection of $1 \pm 1$% linear
polarization. We discuss the effects of interstellar propagation on the linear
polarization and consider the significance of very low intrinsic linear
polarization in Sgr A*.
