tengelyszimmetriája

Tengelyszimmetriája, often translated as axial symmetry or line symmetry, refers to a property of geometric shapes where one half of a figure is a mirror image of the other half across a specific line. This line is known as the axis of symmetry or line of symmetry.

If a figure possesses axial symmetry, it can be folded along its axis of symmetry such that the two halves coincide perfectly. This means that every point on one side of the axis has a corresponding point on the other side, equidistant from the axis and lying on a line perpendicular to it.

Many common shapes exhibit axial symmetry. For instance, a rectangle has two axes of symmetry, passing through the midpoints of its opposite sides. An isosceles triangle has one axis of symmetry, which bisects the angle between the two equal sides and is perpendicular to the base. A circle has an infinite number of axes of symmetry, as any line passing through its center is an axis of symmetry.

The concept of axial symmetry is fundamental in geometry and appears in various natural phenomena and man-made designs, contributing to balance and aesthetic appeal. It is a key concept taught in early geometry education to help understand transformations and spatial relationships. Understanding axial symmetry is crucial for tasks like drawing, construction, and design, where precise mirroring is often required.