Linked from

The 11 pages that link to Similarity transformation, each with the reason it gives.

• Affine 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.

• Jordan normal formRelated: Jordan normal form is obtained by changing basis without changing the represented operator.

• Projective transformationCompared with: Unlike a general projective map, it preserves angles and shapes up to scale.

• Similarity (geometry)Related: It gives a transformation-based definition of how similar figures correspond.

• Square matrixRelated: Similar square matrices represent the same linear map in different bases.

• 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.

• Monge's theoremNarrower topic: Homotheties are a special case of similarities centered at a fixed point.