#### Reflection over the x-axis

A reflection over the x-axis can be seen in the picture below in which point A is reflected to its image A'. The general rule for a reflection over the x-axis:

$ (A,B) \rightarrow (A, -B) $

#### Reflection over the y-axis

A reflection in the y-axis can be seen in diagram 4, in which A is reflected to its image A'. The general rule for a reflection over the y-axis

$ r_{y-axis} \\ (A,B) \rightarrow (-A, B) $

#### Reflection over 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 $$ y = x $$ :

$ (A,B) \rightarrow (B, A ) $

#### Reflection over 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 $$ y = -x $$ :

$ (A,B) \rightarrow (\red - B, \red - A ) $