32 Give the order of rotational symmetry for each figure \( \begin{array}{ll}\text { i) a rectangle } & \text { ii) a regular pentagon }\end{array} \)

i) A rectangle (that is not a square) has rotational symmetry of order 2 because it only maps onto itself at 180° (and, trivially, at 360°). ii) A regular pentagon has rotational symmetry of order 5 since it maps onto itself with rotations of 72°, 144°, 216°, and 288° (plus the 360° rotation). Thus, the orders of rotational symmetry are 2 for the rectangle and 5 for the regular pentagon.