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3 years ago

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

Mathematics

2 answers:

just olya [345]3 years ago

8 0

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°

shtirl [24]3 years ago

3 0

72 degrees
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