A reflection is a kind of transformation. It is basically a 'flip' of a shape over the line of reflection.

Very often reflecions are performed using coordinate notation as they all are on this page. The coordinates allow us to easily describe the image and its preimage.

**Examples** of the most common types of

Reflections in Math

#### Reflection in the x-axis

A reflection in the x-axis can be seen in the picture below in which A is reflected to its image A'.

The general rule for a reflection in the x-axis: (A,B) (A, −B)

#### Reflection in the y-axis

A reflection in the y-axis can be seen in the picture below in which A is reflected to its image A'.

The general rule for a reflection in the y-axis: (A,B) (−A, B)

#### Reflection in the line y = x

A reflection in the line y = x can be seen in the picture below in which A is reflected to its image A'.

The general rule for a reflection in the y-axis: (A, B) (B, A)

### Animated Gif of Reflections

**Practice** Problems

Perform the reflections indicated below