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Question

If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

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Solution

In case of rectangle, we have

Number of line of symmetry = 2

Order of rational symmetry = 2

In case of equilateral triangle, we have


Number of line of symmetry = 3

Order of rational symmetry = 3

In case of circle, we have

Number of line of symmetry = infinite

Order of rational symmetry = infinite

Yes. If a figure has two or more lines of symmetry, then it will definitely have its rotational symmetry of order more than 1.


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