Any rotation is defined as a movement of a given space that stops at least on one point.
The earth spins on its axis in actual life, which is another example of rotation.
There are four primary types of transformations in geometry.
– Rotation– Reflection– Translation– Resizing
Types of rotation - It is possible to rotate in both clockwise and counterclockwise directions.
- The most common rotation angles are 90°, 180°, and 270°.
- There exist precise rotation laws in the coordinate plane.
Rotational matrix
A rotation matrix is a matrix used to rotate an object in Euclidean space.
The matrix R rotates the points in the XY-plane counterclockwise through an angle about the origin in a two-dimensional Cartesian coordinate plane system.
The position of each point in the plane is represented by a column vector "v," which contains the coordinate point if we want to rotate using the rotation matrix R.
Rotational symmetry
Every regular polygon has rotational symmetry. When an object is rotated about its axis, it retains its original appearance.
Rotational images
When rotated twice, the rectangle returns to its original shape at 180°, and when rotated twice more, it returns to its original shape at 360°.
The axis of rotation can be seen in the movement of a ceiling fan or a door.
Examples
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