KnowraSimilarity transformationLinked fromLinked fromThe 11 pages that link to Similarity transformation, each with the reason it gives.All 11Related 3Narrower topic 1Compared with 7Affine transformationCompared with: It is a more restrictive affine map that cannot shear or distort angles.SymmetryCompared with: Similarity can preserve form while changing the object, unlike symmetry's unchanged result.IsometryCompared with: Unlike an isometry, a non-unit similarity changes the overall scale.Affine geometryCompared with: Similarities preserve more metric structure than general affine transformations do.Projective transformationCompared with: Unlike a general projective map, it preserves angles and shapes up to scale.Rigid motionCompared with: Unlike a rigid motion, it may uniformly enlarge or shrink distances.Sylvester's law of inertiaCompared with: Similarity preserves eigenvalues, whereas congruence preserves quadratic-form inertia.