rotioni

Rotioni are a type of geometric transformation that involves turning a figure around a fixed point called the center of rotation. The amount of turn is measured by an angle. Rotations can be performed in either a clockwise or counterclockwise direction.

When a point is rotated, its distance from the center of rotation remains the same. However, its position changes according to the angle of rotation. If a point is rotated by 180 degrees about the center, it will end up in the position directly opposite the center, with the center of rotation lying exactly between the original and rotated points. A rotation of 360 degrees returns the figure to its original position.

Rotations are a fundamental concept in geometry and are used in various fields, including art, computer graphics, and engineering. They are one of the three basic types of rigid transformations, along with translations and reflections, which preserve the size and shape of an object. Understanding rotations helps in analyzing symmetry and patterns in geometric figures. For example, a square exhibits rotational symmetry because it can be rotated by 90, 180, or 270 degrees and still look the same.