# What is a transformation? And what are the four types of transformations?

##### 1 Answer

The most frequently occurring transformations are translation, rotation, reflection and scaling.

#### Explanation:

In plane geometry a *transformation* is a process of changing the position of every point on a plane in a way that satisfies certain rules.

Transformations are usually *symmetric* in a sense that, if there is a transformation that transforms point

For instance, *translation* (shift) by

*Reflection* relative to a straight line is a counterpart to itself since the same reflection repeated again transforms a point back to its original position.

Transformations are usually *transitive* in a sense that, if one particular type of transformation of some type transforms point

For instance, *rotation* of all points on a plane around some fixed point counterclockwise by

In every type of transformation we have the one that does nothing. For example, *scaling* by a factor of *translation* (*shift*) by a distance *rotation- by an angle #0^o#. This property of transformations is called _reflexivity*.