A device and method for geometrically measuring an object, with a base and a carrier device arranged thereon for the object, at least one reference object which can be fixed relative to the base, at least one distance measuring system, by means of which a distance between the reference object and the surface of the object facing the reference object can be determined, and an object holder having an upper side and a lower side, to which the object can be attached, wherein the object holder can be selectively arranged in a first orientation and a second orientation on the carrier device, wherein the distance measuring system and the object holder are movable relative to each other in order to scan the surface of the object, and the object holder has on the upper side thereof and on the lower side thereof respective reference structures.