# Common Reflections

## Common Reflections

A shape can be reflected in any line.

The original shape is called the **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**:

**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**:

**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**:

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