Answered

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

Sagot :

MrRoyal

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

The missing part of the question

Options

Equilateral triangle

Octagon

Rectangle

Pentagon

How to determine the polygon?

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.

Read more about polygons here:

https://brainly.com/question/1592456

#SPJ1

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