Question

call that a square has eight symmetries; these symmetries with the binary operation of composition form a group (you are not required to show this). Consider the square S with vertices (1, 1), (-1, 1), (-1, ?1), and (1, -1). (a) Find the eight 2 × 2 matrices corresponding to the the symmetries of S.

(b) Verify that the composition of a reflection in a diagonal of the square and a reflection which keeps no vertex fixed is a rotation about the origin by 90o .

Answer 1