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.
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