composition of center and axis symmetry
Source: Spanish Mathematical Olympiad 1981 P6
December 23, 2022
geometric transformationvectorsymmetrylinear algebra
Problem Statement
Prove that the transformation product of the symmetry of center with the symmetry of the axis, with the line of equation , can be expressed as a product of an axis symmetry the line by a translation of vector , with parallel to , .
Determine a line and a vector , that meet the indicated conditions. have to be unique and ,?