a regular pentagon has what type of symmetry
Pentagon A regular pentagon has five lines of reflectional symmetry, and rotational symmetry of order 5 (through 72째, 144째, 216째 and 288째). The diagonals of a convex regular pentagon are in the golden ratio to its sides. Its height (distance from one side to the opposite vertex) and width (distance between two farthest separated points, which equals the diagonal length) are given by