﻿ Reflections in math: a reflection has a special meaning. How to reflect an object...

Reflections: How to reflect a point

Reflect point across x axis, y axis and other lines

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)

Practice Problems

Perform the reflections indicated below

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