Reflections
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage.
A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
Some simple reflections can be performed easily in the coordinate plane using the general rules below.
Reflection in the -axis:
A reflection of a point over the -axis is shown.
The rule for a reflection over the -axis is .
Reflection in the -axis:
A reflection of a point over the -axis is shown.
The rule for a reflection over the -axis is .
Reflection in the line :
A reflection of a point over the line is shown.
The rule for a reflection in the line is
Reflection in the line :
A reflection of a point over the line is shown.
The rule for a reflection in the origin is .