# What is a transformation?

##### 1 Answer

An element(point, line, plane or any other geometric, complex or whatever figure) is said to undergo a transformation when ever one or more of its properties are changed.

#### Explanation:

A transformation just a *rule*; its more like a function. It takes an **object** and returns that object's **image**.

Transformations are done using: functions, matrices, complex numbers etc.

What we call object can be a point, a line etc. The basic fact about all objects is that object haves properties.

For example: The point

Once you change point *transformed* point

And in which case the object is

Our transformation could be the matrix:

Proof : Because