# Exploring Special Lines of Reflection

Reflection of a quadrilateral across a line. Notice that the lines extending from one point to its corresponding point are bisected by the line of reflection. This means that to reflect a point, line or object means to reconstruct it identical mirror image at exactly the same distance from the line/point of reflection. Try moving the line of reflection by grabbing point E to see what happens.

## Reflection over the Y-axis:

Put the line of reflection on the y-axis.

What are the coordinates of the preimage points A?

What are the coordinates of the image point A'?

What happens to a point that is reflected over the y-axis?

## Reflection over the X-Axis

Put the line of reflection over the x-axis.

What are the coordinates of the preimage points A?

What are the coordinates of the image point A'?

What happens to a point that is reflected over the x-axis?

## Reflection over the line Y=X

Put the line of reflection at the line y=x.

What are the coordinates of the preimage points A?

What are the coordinates of the image point A'?

What happens to a point that is reflected over the line y=x?

## Reflection over the line Y=-X

Put the line of reflection at the line y=-x.

What are the coordinates of the preimage points A?

What are the coordinates of the image point A'?

What happens to a point that is reflected over the line y=-x?