**object**, the reflected shape is called the

**image**. The most common reflections are reflections in the x-axis (

**y = 0**), the y-axis (

**x = 0**), the line

**x = c**, the line

**y = c**, the line

**y = x**and the line

**y = −x**.

## A Reflection in the X-Axis

The shape below has been reflected in the x-axis:Each point on the image is the same perpendicular distance from the line of reflection as the object. Point

**A**on the object is the same perpendicular distance from the line of reflection as the point

**A'**on the image.

## A Reflection in the Y-Axis

The shape below has been reflected in the y-axis:Each point on the image is the same perpendicular distance from the line of reflection as the object. Point

**A**on the object is the same perpendicular distance from the line of reflection as the point

**A'**on the image.

## A Reflection in the Line x = c

The shape below has been reflected in the line**x = c**:

Each point on the image is the same perpendicular distance from the line of reflection as the object. Point

**A**on the object is the same perpendicular distance from the line of reflection as the point

**A'**on the image.

## A Reflection in the Line y = c

The shape below has been reflected in the line**y = c**:

Each point on the image is the same perpendicular distance from the line of reflection as the object. Point

**A**on the object is the same perpendicular distance from the line of reflection as the point

**A'**on the image.

## A Reflection in the Line y = x

The shape below has been reflected in the line**y = x**:

Each point on the image is the same perpendicular distance from the line of reflection as the object. Point

**A**on the object is the same perpendicular distance from the line of reflection as the point

**A'**on the image.

## A Reflection in the Line y = −x

The shape below has been reflected in the line**y = −x**:

Each point on the image is the same perpendicular distance from the line of reflection as the object. Point

**A**on the object is the same perpendicular distance from the line of reflection as the point

**A'**on the image.

## What Is a Reflection?

A reflection transforms a shape so that it becomes a mirror image of itself. By reflection, think of the reflection you would see in a mirror or in water. The orginal shape is called the object, the reflected shape is called the image:It is as if the shape has been flipped. A reflection is a type of transformation.## Properties of Reflections

- Each point in the image is the same perpendicular distance from the line of reflection as the corresponding point in the object.Point
**A'**is the reflection of point**A**. They are both 3 squares away from the line of reflection. Point**B'**is the reflection of point**B**. They are both 1 square away from the line of reflection. - The image is the same size as the object.
- If you were to fold the diagram along the line of reflection, the image would fit exactly over the object.

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