What is the angle of rotation about the center that will map the regular pentagon onto itself

Question

Jacquelyn Hopkins

Mathematics

9 July, 21:10

What is the angle of rotation about the center that will map the regular pentagon onto itself

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Ezekiel West · Answer 1

The answer is 180 degrees. The rotation that maps one side to an adjacent side is 360°/6 = 60°. This is the least rotation that plots the regular hexagon to the aforementioned. In the least whole number of these minimum rotations, such as three 60° rotations to make 180°, will retain the hexagon identical.