The original shape being reflected is called the pre-image, whilst the reflected shape is known as the reflected image. A reflection reverses the object’s orientation relative to the given line. The most frequently used lines are the y-axis, the x-axis, and the line y x, though any straight line will technically work. The line of reflection is the line that a figure is reflected over. The line is called the line of reflection. A reflection in geometry is a mirror image of a function or object over a given line in the plane. A reflection is a transformation that turns a figure into its mirror image by flipping it over a line. (The dashed arcs in the diagram below represent the circles, with center P, through each of the triangle's vertices. In Geometry, reflection is a transformation where each point in a shape is moved an equal distance across a given line.

A rotation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.Īn object and its rotation are the same shape and size, but the figures may be positioned differently.ĭuring a rotation, every point is moved the exact same degree arc along the circleĭefined by the center of the rotation and the angle of rotation. Reflections are of great interest in mathematics as they can be. Rays drawn from the center of rotation to a point and its image form an angle called the angle of rotation. As light reflects from mirrors, we reflect lines and graphs from mirrors in mathematics. When working in the coordinate plane, the center of rotation should be stated, and not assumed to be at the origin. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure. An image will reflect through a line, known as the line of reflection. A reflection is a mirror image of the shape. A rotation of θ degrees (notation R C,θ ) is a transformation which 'turns' a figure about a fixed point, C, called the center of rotation. Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the. In Geometry, a reflection is known as a flip.

Reflection geometry definition