GeometricTransformation[g, tfun] represents the result of applying the transformation function tfun to the geometric objects corresponding to the primitives g. ...

Rotate — rotate an object around any point (use Degree to specify degrees), Translate — translate an object by a certain vector displacement, Scale — scale graphical objects ...

TranslationTransform[v] gives a TransformationFunction that represents translation of points by a vector v.

Translate[g, {x, y, ...}] represents graphics primitives g translated by the vector {x, y, ...}. 8+Translate[g, {{x_1, y_1, ...}, {x_2, y_2, ...}, ...}] represents multiple ...

ShearingTransform[\[Theta], v, n] gives a TransformationFunction that represents a shear by \[Theta] radians along the direction of the vector v, normal to the vector n, and ...

Mathematica's symbolic architecture and sophisticated mathematical capabilities allow it to take a uniquely high-level approach to geometric transformations—supporting ...

ReflectionTransform[v] gives a TransformationFunction that represents a reflection in a mirror through the origin, normal to the vector v. ReflectionTransform[v, p] gives a ...

AffineTransform[m] gives a TransformationFunction that represents an affine transform that maps r to m.r. AffineTransform[{m, v}] gives an affine transform that maps r to m.r ...

ReflectionMatrix[v] gives the matrix that represents reflection of points in a mirror normal to the vector v.

ScalingMatrix[{s_x, s_y, ...}] gives the matrix corresponding to scaling by a factor s_i along each coordinate axis. ScalingMatrix[s, v] gives the matrix corresponding to ...