The worldwide spread of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) and emergence of new variants demands understanding the structural basis of the interaction of antibodies with the SARS-CoV-2 receptor-binding domain (RBD). Here we report five X-ray crystal structures of sybodies (synthetic nanobodies) including binary and ternary complexes of Sb16-RBD, Sb45-RBD, Sb14-RBD-Sb68, and Sb45-RBD-Sb68; and Sb16 unliganded. These reveal that Sb14, Sb16, and Sb45 bind the RBD at the ACE2 interface and that the Sb16 interaction is accompanied by a large CDR2 shift. In contrast, Sb68 interacts at the periphery of the interface. We also determined cryo-EM structures of Sb45 bound to spike (S). Superposition of the X-ray structures of sybodies onto the trimeric S protein cryo-EM map indicates some may bind both "up" and "down" configurations, but others may not. Sensitivity of sybody binding to several recently identified RBD mutants is consistent with these structures.