Octagon - Rotational Symmetry

Rotational Symmetry - Octagon
Rotate the polygon by moving the RED X around the circle. Note each time the rotating polygon rotates onto the original shaded polygon.
Octagon Rotational Symmetry
Number of Rotational Symmetries
How many times does a [b]REGULAR OCTAGON[/b] rotate onto itself until it is back to the beginning? Include the rotation 360°.[br][br][br][b]Please Note[/b]: This software, at the time this question was created, does not actually check if your response is correct. It is up to you to compare your response to the correct answer.
List Rotational Symmetries
List all rotational symmetries for a [b]REGULAR OCTAGON[/b]. Separate each measurement with a comma. You may use an " * " or "d" to represent degrees. IE: 360 degrees, should be entered as 300* or 300d. You may also use the function editor to insert a degree symbol " ° ".[br][br][br][b]Please Note[/b]: This software, at the time this question was created, does not actually check if your response is correct. It is up to you to compare your response to the correct answer.
CONCLUSION QUESTION:
Now that you have experimented with several rotational symmetries of various regular polygons you are ready to answer the following:[br][br]In general, if a regular polygon has "n" number of sides, how many rotational symmetries does it have up to and including 360°?[br][br]Also, finish the equation that represents the degree of rotational symmetry for a n-sided polygon.[br][br]1) __ rotational symmetries.[br][br]2) degree of rotational symmetry = ___________ [math]\div[/math] ____________[br][br][b]Show your response to your teacher. The correct answer is not shown here.[/b]
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Information: Octagon - Rotational Symmetry