A glenosphere includes a body, a first surface, and a cavity defined with the body. The body defines a center and an engagement axis, the engagement axis spaced by an offset from the center. The first surface includes a first rim positioned radially outward from a second rim, a base surface portion, and a hood surface portion extending from the base surface portion and oriented at an obtuse angle relative to the base surface portion. The body defines a hood portion extending from the hood surface portion to a plane including the base surface portion. The cavity has a perimeter defined by the second rim, and includes a first cavity portion configured to receive an attachment structure attachable to a bone, and a second cavity portion configured to engage an engagement member of the attachment structure and oriented along the engagement axis.