 asked in category: General Last Updated: 27th January, 2020

# How much rotational symmetry does a square have?

Total Order of Symmetry
Shape Axes of symmetry Order of rotational symmetry
Rectangle 2 2
Square 4 4
Regular pentagon 5 5
Regular hexagon 6 6

Considering this, how many rotational symmetry does a square have?

Order 4

Additionally, does a square have rotational symmetry of order 2? Example of rotational symmetry of order 2 The first time we got the original image, we got it with a rotation of 180 degrees and the second time, we got it with a rotation of 360 degrees. Since we were able to return the original shape 2 times, the rectangle has rotational symmetry of order 2.

Regarding this, does a square have 90 degree rotational symmetry?

Yes, a square can be rotated egin{align*}90^circend{align*} counterclockwise (or clockwise) about its center and the image will be indistinguishable from the original square.

What is the symmetry of square?

The Schläfli symbol for the square is {4}. The square is a highly symmetric object. There are four lines of reflectional symmetry and it has rotational symmetry of order 4 (through 90°, 180° and 270°). Its symmetry group is the dihedral group D4.

### Which geometric figure has no rotational symmetry?

4

27th January, 2020

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