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A circle, square, and a triangle all have rotational symmetry.

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Is there a relationship between lines of symmetry and order of rotation?

Yes, there is a relationship between lines of symmetry and order of rotation in geometric shapes. The order of rotation refers to how many times a shape can be rotated around a central point and still look the same within a full 360-degree rotation. In many regular polygons, the number of lines of symmetry is equal to the order of rotation, as both are determined by the number of sides of the shape. For example, a square has four lines of symmetry and an order of rotation of four.


Do all shapes have the same rotational symmetry as its order?

No, not all shapes have the same rotational symmetry as their order. The order of rotational symmetry refers to the number of times a shape can be rotated around a central point and still look the same within one full rotation (360 degrees). While some shapes like regular polygons have rotational symmetry that corresponds directly to their number of sides, irregular shapes may have a different order of symmetry, or none at all.


Does a flower have a rotational symmetry?

Yes it does. As long as it has a symmetry without rotation. If you do the rotation either way it does have symmetry. :)


What is the relation between order of rotation and number of axes of symmetry of a geometrical figure?

The order of rotation of a geometrical figure refers to the number of times it can be rotated to look the same within a full 360-degree rotation. The number of axes of symmetry is the number of lines that can be drawn through the figure such that each side is a mirror image of the other. Generally, figures with higher orders of rotation tend to have more axes of symmetry, as rotational symmetry often implies reflective symmetry. However, this is not a strict rule, as some shapes may possess high rotational symmetry yet fewer axes of symmetry.


What shapes don't have rotational symmetry?

Shapes that do not have rotational symmetry are those that cannot be rotated around a central point and appear identical to their original position at any angle less than a full rotation (360 degrees). Common examples include asymmetrical shapes like a scalene triangle, an irregular polygon, or any shape with an uneven distribution of features. These shapes will look different when rotated, indicating the absence of rotational symmetry.

Related Questions

What three shapes have rotation symmetry?

square, circle, and a triangle


Is there rotational symmetry in an equilateral triangle?

yes the rotation symmetry of an equilateral triangle is 3


Does a Heart have rotation symmetry?

A real life heart will not, but if you're talking about the cartoon/picture heart, then yes it will. <3


Shapes which have 3 lines of symmetry?

Equilateral triangle.


Is there a relationship between lines of symmetry and order of rotation?

Yes, there is a relationship between lines of symmetry and order of rotation in geometric shapes. The order of rotation refers to how many times a shape can be rotated around a central point and still look the same within a full 360-degree rotation. In many regular polygons, the number of lines of symmetry is equal to the order of rotation, as both are determined by the number of sides of the shape. For example, a square has four lines of symmetry and an order of rotation of four.


How many rotation symmetry does a diamond have?

A diamond has two rotation symmetry. It is possible to have a diamond that does have four of rotation symmetry.


Do all shapes have the same rotational symmetry as its order?

No, not all shapes have the same rotational symmetry as their order. The order of rotational symmetry refers to the number of times a shape can be rotated around a central point and still look the same within one full rotation (360 degrees). While some shapes like regular polygons have rotational symmetry that corresponds directly to their number of sides, irregular shapes may have a different order of symmetry, or none at all.


Does a flower have a rotational symmetry?

Yes it does. As long as it has a symmetry without rotation. If you do the rotation either way it does have symmetry. :)


Shapes with same symmetry as the equilateral triangle?

How many lines of symmetry does an equilateral triangle have?


What is the order of rotation symmetry of a parallelogram?

rotation symmetry of a parallelogram Sequence


What is the relation between order of rotation and number of axes of symmetry of a geometrical figure?

The order of rotation of a geometrical figure refers to the number of times it can be rotated to look the same within a full 360-degree rotation. The number of axes of symmetry is the number of lines that can be drawn through the figure such that each side is a mirror image of the other. Generally, figures with higher orders of rotation tend to have more axes of symmetry, as rotational symmetry often implies reflective symmetry. However, this is not a strict rule, as some shapes may possess high rotational symmetry yet fewer axes of symmetry.


What is a rotation of symmetry?

Sometimes called rotation symmetry, or symmetry of rotation. If you have an object that can be turned through a certain angle (like rotating a cube through 90o) and then it looks identical, then that object has a certain symmetry under rotation. If you can turn it through any angle, like a cylinder, then it has rotation (or rotational) symmetry.