
Reflection  of a line segment
A transformation where every point on a line segment appears an equal distance on the other
side of a given line  the line of reflection.
Try this
drag the endpoints of AB, or drag the point L to move the line of reflection.
In this transformation, we are given a line segment AB and a line of reflection (the vertical line in the figure above) which acts like a mirror.
Every point on the line segment AB is "reflected" in the mirror and appears on the other side of the line an equal distance from it.
Drag either point A or B to see this.
The reflection of a point, say A, is usually named by adding a small dash and is written A'. This is pronounced "a prime". So the reflection of the line
AB is named A'B'. The reflection is called the "image" of the line AB.
In the figure above, click 'show distances'. You can see that by definition, the point A' is the same distance from the line of reflection as A itself.
The same is true for any other point of the line, such as B.
Another way to say this is that the line of reflection is the
perpendicular bisector
of the a line linking two corresponding points.
Things to try
In the diagram above  click 'reset'

Move the points A nad B, and note the motion of its image A'B'.

Move the line of reflection by dragging L. Repeat the above.

Click on 'reset' and 'show distances'. As you drag A or B, note that the line of reflection
is always the
perpendicular bisector
of AA' and BB'.
Other transformation topics
(C) 2009 Copyright Math Open Reference. All rights reserved

COMMON CORE
Math Open Reference now has a Common Core alignment.
See which resources are available on this site for each element of the Common Core standards.
Check it out
