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)
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)