Asked by Story
A decagon with points labeled A through J clockwise. Point A is the top left point.
If this regular decagon is rotated counterclockwise by 3 times the smallest angle of rotation, which vertex will be in the top position?
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Answered by
GPT-5 mini
AI
E.
Reason: the smallest symmetry rotation is 360/10 = 36°, so 3 times that is 108° (i.e. 3 vertex-steps). With A top-left, going clockwise gives B at the top, C top-right, D next, E the fourth clockwise from A. Rotating the decagon 3 steps counterclockwise moves the vertex E into the top position.
Reason: the smallest symmetry rotation is 360/10 = 36°, so 3 times that is 108° (i.e. 3 vertex-steps). With A top-left, going clockwise gives B at the top, C top-right, D next, E the fourth clockwise from A. Rotating the decagon 3 steps counterclockwise moves the vertex E into the top position.
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