Which regular polygon has a rotation of 240 degree to carry the polygon onto itself?

1 answer:

4 0

The regular polygon that has a rotation of 240 degrees to carry the polygon onto itself is the equilateral triangle.

<h3>The missing part of the question</h3>

<u>Options</u>

Equilateral triangle

Octagon

Rectangle

Pentagon

<h3>How to determine the polygon?</h3>

A polygon that can carry itself onto itself after a rotation of 240 degrees must obey the following rule:

Angle of rotation = 360/Sides

Next, we test the options:

Option (a) equilateral triangle

Angle of rotation = 360/3

Evaluate

Angle of rotation = 120

Next, we list the multiples of 120

120, 240, 360.....

See that 120 is a factor of 240.

This means that the equilateral triangle would be rotated onto itself when rotated by 240 degrees.

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