Transformations and Symmetry

A rigid transformation moves a figure without changing its size or shape. So the original figure and the transformed figure are always congruent

Rotation (turn), Translation (slide), and Reflection (flip) are the three different kinds of transformations

When a figure flips over a line, creating a mirror image, it is called a reflection

A rotation is the movement of a figure around a point. A point of rotation can be on or outside a figure. The location and position of a figure can change with a rotation

A translation is the movement of a figure along a straight line. Only the location of the figure changes with a translation

You can fold a figure to find out if it is symmetrical. The fold line is a line of symmetry

The figure has bilateral symmetry if, when you fold it, one side fits exactly over the other side

If a figure will fit exactly over itself after being rotated clockwise or counterclockwise 180° or less, then the figure has rotational symmetry