Table of Contents

- 1 What are the angles of rotation less than 360 for the figure?
- 2 What is 360 degree rotation symmetry?
- 3 When an object rotates it does so around a fixed point called the of rotation?
- 4 What is the least angle measure by which this figure can be rotated?
- 5 What is a rotational symmetry point?
- 6 Which figure is a rotation of the object?

## What are the angles of rotation less than 360 for the figure?

The other angles of rotation for the figure are the multiples of 90° that are less than 360°. So the angles of rotation are 90°, 180°, and 270°.

### What is 360 degree rotation symmetry?

Rotational symmetry exists when the figure can be rotated and the image is identical to the original. Regular polygons have a degree of rotational symmetry equal to 360 divided by the number of sides.

#### When an object rotates it does so around a fixed point called the of rotation?

The rotation turns an object about a fixed point. This fixed point is the centre of rotation. The angle of turning during rotation is called the angle of rotation. A full turn, you know, means a rotation of 360°.

**What is the smallest angle that a figure can be rotated while still preserving the original formation?**

The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself. The order of symmetry is the number of times the figure coincides with itself as its rotates through 360° .

**Does a rectangle have rotational symmetry less than 360?**

A shape has symmetry if it can be indistinguishable from its transformed image. A shape has rotation symmetry if there exists a rotation less than @$\begin{align*}360^\circ\end{align*}@$ that carries the shape onto itself. A rectangle is an example of a shape with rotation symmetry. …

## What is the least angle measure by which this figure can be rotated?

180°

360° Summary: The least angle measure by which this figure can be rotated so that it maps onto itself is 180°.

### What is a rotational symmetry point?

Rotational symmetry is when a shape or pattern can be rotated or turned around a central point and remains the same. It may be stated that a shape has a rotational symmetry of order X; this means that the shape can be turned around a central point and remain the same X times.

#### Which figure is a rotation of the object?

Answer: In mathematics, rotation refers to the transformation that turns a figure about a fixed point called the center of rotation. Moreover, an object and its rotation are the same shape and size; however, the figures may be turned in different directions. In addition, rotation can be counter-clockwise or clockwise.

**What is the order of rotation of circle?**

Shape | Centre of Rotation | Order of Rotation |
---|---|---|

Equilateral triangle | Intersecting point of medians | 3 |

Regular triangle | Intersecting point of diagonals | 6 |

Circle | Centre | Infinite |

Semi-circle | Mid point of diameter | 1 |

**What is the least angle measure by which this figure can be rotated so that it maps onto itself?**