please solve question 2.3.5 given below. the figure is also given below

2.3.5. (a) Show that if n is odd, then the axis of each of the "flips" passes through a vertex of the n-gon and the midpoint of the opposite edge. See Figure 2.3.2 on page 108 for the case n = 5. (b) If n is even and k is even, show that jkx = rk j is a rotation about an axis passing through a pair of opposite vertices of the n-gon. I (c) Show that if n is even and k is odd, then jkx = rk j is a rotation about an axis passing through the midpoints of a pair of opposite edges of the n-gon. See Figure 2.3.2 on page 108 for the case n = 6.\f