The regular polygon that has a rotation of 240 degrees to carry the polygon onto itself is the equilateral triangle.
Options
Equilateral triangle
Octagon
Rectangle
Pentagon
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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