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The object and its image are congruent.
A rigid transformation is when a shape is moved with no changes to its shape whereas a size transformation is when a shape is moved with its shape becoming smaller or larger.
If a linear transformation acts on a vector and the result is only a change in the vector's magnitude, not direction, that vector is called an eigenvector of that particular linear transformation, and the magnitude that the vector is changed by is called an eigenvalue of that eigenvector.Formulaically, this statement is expressed as Av=kv, where A is the linear transformation, vis the eigenvector, and k is the eigenvalue. Keep in mind that A is usually a matrix and k is a scalar multiple that must exist in the field of which is over the vector space in question.
A figure resulting from a transformation is called an IMAGE
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