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An ellipse has rotational symmetry of order 2.

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10y ago

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Can I draw hexagons that have 2 and 3 rotational symmetries?

yes, in fact it can have 6 rotational symmetries.


How many rotational symmetries does a seven pointed star have?

A seven-pointed star has seven rotational symmetries. This means it can be rotated in increments of ( \frac{360^\circ}{7} ) and still appear unchanged. Each of these rotations corresponds to one of the seven points of the star. Therefore, the total number of rotational symmetries is equal to the number of points.


How many rotational symmetries does isosceles trapezoid have?

An isosceles trapezoid has one rotational symmetry, which is a 180-degree rotation. This means that if you rotate the trapezoid by 180 degrees around its center, it will look the same as it did before the rotation. In addition to this, it has line symmetries, but regarding rotational symmetry specifically, there is only one.


Does a regular n-gon have n reflectional symmetries and n rotational symmetries?

Yes, a regular n-gon has n reflectional symmetries and n rotational symmetries. The n reflectional symmetries correspond to the lines of symmetry that can be drawn through each vertex and the midpoint of the opposite side. The n rotational symmetries arise from the ability to rotate the n-gon by multiples of ( \frac{360^\circ}{n} ), returning it to an equivalent position. Thus, both types of symmetry are equal to n.


How many rotational symmetries do decagon?

A regular decagon, which has 10 equal sides and angles, has 10 rotational symmetries. These symmetries correspond to the decagon being rotated by multiples of (36^\circ) (360° divided by 10), including the identity rotation (0°). Therefore, the decagon can be rotated to match its original position in 10 different orientations.