Problem 115 of 7
Find the smallest positive rotation that maps a regular 9-gon onto itself.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
divide 360 degrees by side count.
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Polygon must be regular and sides must be at least 3.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. A regular n-gon has n equal rotations in a full turn.
2. Divide 360 degrees by n.
3. The quotient is the smallest positive symmetry rotation.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
180 degrees unless n=2 is incorrectly implied or the polygon's actual smallest rotation is 180.