Show the order of rotational symmetry for each polygon by dragging to the plaques beneath each shape.
Two
Two
Two
Four
None
Eight
Six
None
None
None
Five
None
Printable Version Polygon People Polygon Properties Polybragging


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Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. 
Transum,
Wednesday, September 3, 2014
"Knowing the names of the polygons is only the start. Each shape has its own properties which define it. There are families of shapes and some shapes can be identified with more than one name. The next step is to show your knowledge of Polygon Properties with our interactive matching activity."
Luke Farrand, Rosmini College
Friday, October 19, 2018
"It has recently come to my knowledge when attempting one of your activities under Topic  Geometry  Activities  Polygons  Rotational Symmetry there is an error in this task.
If I am not mistaken all shapes have a rotational symmetry of at least one, however in this task it shows shapes with a rotational symmetry of one are considered none.
This little mistake may be enough to make someone fail their exam or fall one excellent credit short of endorsement in this wrong teaching. Therefore I recommend you change it before an unfortunate student suffers that fate."
Transum,
Friday, October 19, 2018
"Dear Luke,
Thank you so much for taking the time to make a comment about rotational symmetry.
Firstly I must say that sometimes in Mathematics everyone does not agree on certain definitions. For many years the UK defined a billion as 10^{12} while the US defined it as 10^{9}. Some people believe that zero is a member of the set of natural numbers while others do not. Iâ€™m afraid rotational symmetry may also attract mixed opinions.
According to all of the online references and textbooks I have seen there is no such thing as rotational symmetry of order one. As Wikipedia states: "Note that '1fold' symmetry is no symmetry (all objects look alike after a rotation of 360Â°)".
If you have a reference that disagrees with this way of thinking please let me know.
I really would appreciate hearing any further comments you may have about the activities on the Transum website.
Best wishes "
Tony, VAS
Wednesday, September 1, 2021
"Dear Transum and Luke,
I agree with luke's statement here. According to BBC Bitesize, it is clearly stated that the minimum number of rotational symmetry is 1.
I would love to hear a statement from all of you!
[Transum: Thanks very much Tony for the link showing that respected websites disagree with the definition. I have now taken time to do some more research and I think the balance of opinion agrees with you so. Having said that I don't think the word 'none' on the draggable card is wrong. Perhaps 'zero' would be wrong but I think 'none' is technically correct isn't it?]"