Geometric symmetry refers to a balanced and proportional arrangement of shapes and figures. It occurs when one part of a shape is a mirror image of another part, either across a line (line symmetry) or around a point (rotational symmetry). Common examples include the shapes of butterflies and snowflakes, which exhibit symmetry in their designs. In mathematics, geometric symmetry is essential for understanding patterns and structures. It is often used in art and architecture, where symmetry can create visually appealing designs. Famous examples include the Parthenon in Greece and the Mona Lisa by Leonardo da Vinci, both showcasing harmonious symmetry.