Mathematical symmetry refers to a property where a shape or object remains unchanged when subjected to certain transformations, such as rotation, reflection, or translation. For example, a square exhibits symmetry because it looks the same when rotated by 90 degrees or reflected across its diagonals. This concept is essential in various fields, including geometry, art, and physics. Symmetry can be classified into different types, such as rotational symmetry, where an object can be rotated around a central point, and reflective symmetry, where one half of an object mirrors the other half. Understanding symmetry helps in analyzing patterns and structures in both nature and human-made designs.