Question

What is the smallest angle of rotational symmetry that maps a regular pentagon onto itself?

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Answer 1

72 Degrees

Explanation:

k12 user. the guy below explains it. i dont need to

Answer 2

Consider the regular pentagon ABCDE, with center (of mass) O.

The central angle O is a complete angle, so its measure is 360°.

It is divided into 5 equal parts, so each of them has a measure of 360°/5=72°.



If we rotate the pentagon, with point O as the center of the rotation, we can map A to any of the other points.

The smallest angle of rotation is the angle which mas A to E, 72°.


Answer: 72°