There are two types of symmetry: line symmetry, which involves reflection , and rotational symmetry, which involves rotation.
A figure has a line of symmetry if it maps or folds onto itself under reflection in the line.
Line m is called the axis of symmetry.
Different shapes can have various numbers of axes of symmetry. e.g.
A figure has rotational symmetry if it maps onto itself as it is rotated about a point at its centre.
The order of rotational symmetry is the number of times the shape maps onto itself during a rotation of 360°. e.g.
Total Order of Symmetry
The total order of symmetry = number of axes of symmetry + order of rotational symmetry.
The table shows the symmetry properties of some common shapes.
A figure has point symmetry if it maps onto itself under a rotation of 180° (a half turn). e.g. A parallelogram.