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Allow me to be dumb for a second--isn't that the case? I mean, if you label the vertices/edges then yes a regular pentagon has five distinct lines of symmetry,
by elmomle 6y ago
Allow me to be dumb for a second--isn't that the case? I mean, if you label the vertices/edges then yes a regular pentagon has five distinct lines of symmetry, but typically people talk about lines of symmetry in a context where vertices are unlabeled, no?
- MacsHeadroom 6y agoA regular pentagon has 5 lines of symmetry. One from the center of each edge to the point on the other side.
- pgreenwood 6y agoThere are 2n symmetries for an n-sided polygon. In this case five rotations and five reflections. https://math.stackexchange.com/questions/490054/symmetries-of-a-pentagon https://math.stackexchange.com/questions/490054/symmetries-o...
- ordu 6y agoIn spite of an argument "the top is bigger than the bottom", it seems to me that he/she meant that there is no horizontal line of symmetry, so there is only vertical one.
- simongr3dal 6y agoI agree, but I think in most cases where grade schoolers are made to draw mirror symmetries on work sheets that all symmetries are included, even if they are simply the same symmetry but rotated.