The imaging of black-hole shadows with the Event Horizon Telescope has
opened a new window into the strong-field spacetimes of these extreme
astrophysical objects. For the Kerr spacetime, the shadow of a black
hole is nearly circular with a size that depends almost entirely on its
mass. I will discuss first the astrophysics of shadow formation in the
images of black holes and the properties of the EHT data that allow us
to perform null-hypothesis tests of General Relativity. I will discuss
metrics that deviate from Kerr and their signatures related to the
shapes and sizes of black-hole shadows. I will conclude with a prognosis
on what ground-based observations of shadows can tell us about
black-hole metrics and the underlying theory of gravity.