translation, reflection, dilation
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The 3 transformations of math are: translation, reflection and rotation. These are the well known ones. There is a fourth, dilation, in which the pre image is the same shape as the image, but the same size in the world
Laplace' is known for transformations in math; as in a Laplace Transformation. Transformations are used extensively in matrix models in general equilibrium theory and econometrics such as Dominate Diagonal transforms. That is where I reached my level of incompetency; fond memories. See: Lionel McKinsey, Economic Theory and Matrices with Dominate Diagonals
The properties depend on what the transformations are.
Transformations can translate, reflect, rotate and enlarge shapes on the Cartesian plane.
Dilation, rotation, reflection and translation (Go to www.mathwarehouse.com/transformations/) For more information