Hasonlóságkongruencia

Hasonlóságkongruencia refers to a concept in geometry that combines the ideas of similarity and congruence. In Euclidean geometry, two figures are considered to have hasonlóságkongruencia if they are both similar and congruent. This means they must have the same shape and the same size. Specifically, for polygons, this implies that all corresponding angles must be equal and all corresponding side lengths must be equal. In simpler terms, a figure with hasonlóságkongruencia to another is an exact copy of it, just potentially repositioned or rotated.

The term itself is a portmanteau, combining the Hungarian words for similarity (hasonlóság) and congruence (kongruencia). While similarity allows for proportional scaling (figures can be similar but of different sizes), and congruence deals with identical figures (same shape and size), hasonlóságkongruencia strictly defines a situation where both conditions are met simultaneously. This concept is fundamental in understanding transformations in geometry, as it represents the identity transformation, where a figure remains unchanged under a transformation. It's a foundational concept for understanding more complex geometric relationships and proofs.