» For the mechanical engineering and architecture usage, see isometric projection. For isometry in differential geometry, see isometry (Riemannian geometry). In mathematics, an isometry, isometric isomorphism or congruence mapping's a distance-preserving isomorphism between metric spaces. Geometric figures which can be related by an isometry are called congruent. Isometries are often used in constructions where one space's embedded in another space. For instance, the completion of a metric spac… (More on Isometry)