Reflection over a Line

What is Reflection over a Line?

Reflection over a line is a type of geometric transformation that moves every point on a plane to its mirror image position.

The line used as the reference for this reflection is called the mirror line or axis of reflection.

Imagine standing in front of a flat mirror. Your image in the mirror is the result of reflecting yourself over the surface of the mirror.

Mathematically, if we have a point $P(x,y)$ and a line $m$ as the axis of reflection, then the image point will have the following properties:

Reflection over a line is a type of geometric transformation that moves every point on a plane to its mirror image position.

The line used as the reference for this reflection is called the mirror line or axis of reflection.

Imagine standing in front of a flat mirror. Your image in the mirror is the result of reflecting yourself over the surface of the mirror.

Mathematically, if we have a point

P(x,y)

and a line

m

as the axis of reflection, then the image point will have the following properties: