Copy of Rotating A Figure Onto Itself Exploration

How many times did the triangle map onto itself during the course of the 360 degree rotation?
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What is the minimum number of degrees for the triangle to be mapped onto itself?
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How many times did the square map onto itself during the course of the 360 degree rotation?
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What is the minimum number of degrees for the square to be mapped onto itself?
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How many times did the pentagon map onto itself during the 360 degree rotation?
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What is the minimum number of degrees in order for the pentagon to map onto itself?
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Using all of the above data, can you produce a formula that would find the minimum number of degrees needed in order for any regular polygon to be mapped onto itself?
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