Trapéziumhoz

Trapéziumhoz is a Hungarian term formed by combining the noun trapézium (trapezium) with the allative suffix -hoz, used to indicate direction toward a place or object. In a sentence, it functions as a directional phrase, for example: Az út a trapéziumhoz vezet (The road leads to the trapezium).

Trapézium, in geometry, is a quadrilateral that has at least one pair of parallel sides. The exact naming of this shape varies by country: in some traditions it is called a trapezium, while others use trapezoid for the same or similar figures. Despite terminology differences, the essential property is the presence of a parallel pair of sides, with the other two sides typically being nonparallel. Trapezia can be regular, isosceles, or scalene, and may be convex or, in some definitions, concave depending on the convention used.

Etymology and usage: trapézium derives from classical geometric terminology, with roots in Latin and Greek forms such as trapezium. The Hungarian word trapézium is the standard term for the shape in mathematical contexts, and trapéziumhoz is the grammatically correct allative form used when referring to moving toward or directing attention to the trapezium.

Grammatical note: The allative suffix in Hungarian has several variants (-hoz, -hez, -höz) chosen according to phonological harmony and the stem ending. For a consonant-final stem like trapézium, the form is trapéziumhoz. This construction can appear in phrases such as “a trapéziumhoz vezető út” (the road leading to the trapezium).