egybevágóan

In geometry, "egybevágóan" is the Hungarian term for congruence. Two geometric figures are considered congruent if they have the same size and shape. This means that one figure can be transformed into the other through a series of rigid motions, such as translations, rotations, and reflections. If two figures are congruent, all of their corresponding parts, including sides and angles, are equal. Congruence is a fundamental concept in Euclidean geometry and is used to prove theorems and solve problems. For example, two triangles are congruent if their corresponding sides are equal in length (SSS congruence), or if two corresponding sides and the included angle are equal (SAS congruence), or if two corresponding angles and the included side are equal (ASA congruence), or if two corresponding angles and a non-included side are equal (AAS congruence). Similarly, congruence applies to other shapes like quadrilaterals, circles, and polygons. The concept of "egybevágóan" signifies that the figures are essentially identical in form and dimensions, differing only in their position or orientation in space.