<p>We provide several sufficient symmetry conditions for an embedded free boundary minimal annulus in the unit 3-ball to be congruent to the critical catenoid. First, we show that an annulus with either two symmetry planes or a symmetry plane that does not intersect the boundary must be congruent to the critical catenoid. As a corollary, any embedded free boundary minimal annulus in the half-ball satisfying certain boundary conditions is also the critical catenoid. Building on a symmetry principle, we further show that if the boundary consists of two congruent components and is invariant under reflection through a plane, then the surface is congruent to the critical catenoid.</p>