tükörvonal

Tükörvonal is a Hungarian term that translates to "mirror line" or "reflection line." In mathematics, it refers to a line of symmetry within a geometric shape. When a shape is reflected across its tükörvonal, the resulting image is identical to the original shape. This means that every point on one side of the line has a corresponding point on the other side, equidistant from the line and lying on a perpendicular path.

Many geometric figures possess a tükörvonal. For example, an isosceles triangle has one tükörvonal that bisects the angle between the two equal sides and is perpendicular to the base. A rectangle has two tükörvonalak, one connecting the midpoints of opposite sides. A circle has an infinite number of tükörvonalak, with any diameter serving as a line of symmetry. The presence and number of tükörvonalak are key properties used to classify and identify different geometric shapes.

The concept of tükörvonal extends beyond simple geometric shapes. It is also relevant in fields such as art, design, and natural sciences, where symmetry plays a significant role in aesthetics and natural formations. Understanding the tükörvonal helps in analyzing the structural integrity and visual appeal of various objects and phenomena.