Is anyone able to help with this? Let {I, r, r2, r3, m1, m2, m3, m4} be the symmetries of a square, where: I is the trivial symmetry, r is a clockwise rotation by 1/4-turn, and mi is the reflection in the line mi
Let x and y be variables that represent symmetries of the square.
State True or False, if false give an examples that demonstrates that it is false.

x ◦ y = y ◦ x for all x and y:

(x ◦ y)^2 = x^2 ◦ y^2 for all x and y: