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The regular polygon below is cut out of a flat piece of cardboard. The polygon is then placed back into the hole.

In how many ways can the polygon be placed back into the hole, if the polygon can be rotated, but not reflected?

 

 Jan 13, 2024
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We can see that this olygon has a rotational symmetry of 120 degrees, since rotating the figure 120 degrees makes the same shape.

 

360 degrees/120 degrees = 3 rotations

 

Answer: 3

 Jan 13, 2024

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