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:

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.

See Also

What is geometry? What are transformations? What is the x-axis? What is the y-axis?