An ellipse has rotational symmetry of order 2.
yes, in fact it can have 6 rotational symmetries.
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.
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.
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.
It has 8 rotational symmetry.
Infinitely many.
An ellipse has rotational symmetry of order 2.
2
yes, in fact it can have 6 rotational symmetries.
5
9 reflection
18
Two.
a heart have no rotational symmetry!
A regular hexagon has 6 rotational symmetries (rotational symmetry of order six) and 6 reflective symmetries (six lines of symmetry).
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.