. What is the definition of Transformations in Math?
A function, f, that maps to itself are called the transformation, i.e., f: X → X. The pre-image X becomes the image X after the transformation. This transformation can be a combination of operations like translation, rotation, reflection, and dilation. The translation moves a function in a specific direction. Rotation is spinning the process about a point, reflection is the mirror image of the process, and dilation is the scaling of a process. Transformations in Math describe how two-dimensional figures move around a coordinate plane.
Types of Transformations
There are 4 common types of transformations - translation, rotation, reflection, and dilation. From the above definition of the transformation, we have a rotation about any point, reflection over any line, and translation along any vector. These are rigid transformations in which the picture is congruent to its pre-picture. They are also referred called as isometric transformations. Dilation is performed at any point, and it is non-isometric. Here the picture is similar to its pre-picture.