sümmeetriatelje

A sümmeetriatelje is a line that divides a two-dimensional shape into two identical halves that are mirror images of each other. When a shape is reflected across its sümmeetriatelje, the reflected image will perfectly overlap the original shape. This means that every point on one side of the line has a corresponding point on the other side at an equal distance from the line, and on a perpendicular line.

The number of sümmeetriateljed a shape has can vary. Some shapes, like a square, have multiple sümmeetriateljed. A square has four sümmeetriateljed: one horizontal, one vertical, and two diagonal lines. Other shapes, like a scalene triangle (a triangle with all sides of different lengths), have no sümmeetriateljed. An isosceles triangle, which has two equal sides, has one sümmeetriatelje that bisects the angle between the two equal sides and is perpendicular to the base.

A circle is a special case, possessing an infinite number of sümmeetriateljed, as any line passing through its center will divide it into two identical semicircles. The concept of a sümmeetriatelje is fundamental in geometry and is used to describe and classify various shapes. It is also a concept found in nature, art, and design, where symmetry often contributes to aesthetic appeal and structural integrity.