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:

The second option is the best step to do next in solving this equation. In this equation, a = 1, b = 8 and c is unknown. To solve for c, divide b by 2 and square it. (Mind the signs!) So 8/2 = 4, then 4² = 16. Because we added 16 to the left hand side of the equation, we add the same to the right hand side. But since the whole equation on the left is multiplied by 5, we add 16*5 to the other side, not 16. 16*5 equals 80, and 80 + 14 = 94.