Answer: (read explanation)
Step-by-step explanation:
Symmetry and rigid transformations are related in that symmetry is a type of rigid transformation. A rigid transformation is a type of transformation in geometry in which the shape of an object is preserved after the transformation is applied. This means that the distances between all points on the object remain the same, and the angles between those points are also unchanged.
Symmetry is a specific type of rigid transformation that involves a reflection, rotation, or translation of an object such that the resulting image is congruent to the original. In other words, symmetry is a type of transformation in which an object is mapped onto itself in a way that preserves its shape and size.
For example, if an object has rotational symmetry, it means that it can be rotated by a certain angle and the resulting image will be congruent to the original. If an object has reflectional symmetry, it means that it can be reflected across a certain line and the resulting image will be congruent to the original.
Overall, symmetry is a type of rigid transformation in which an object is mapped onto itself in a way that preserves its shape and size. This type of transformation is related to other types of rigid transformations, such as rotations and translations, which also preserve the shape and size of an object.