Школьник Украины

Четырехугольник, его элементы

Четырехугольник, его элементы

 Особая роль среди многоугольников в геометрии принадлежит четырехугольникам. Четырехугольник - фигура, состоящая из четырех точек и четырех отрезков, соединяющих их последовательно, при этом должны выполняться два условия: 1. На одной прямой должно лежать не более двух точек. 2. Отрезки, соединяющие точки, не должны пересекаться. Точки четырехугольника называются вершинами, а отрезки, которые соединяют, - сторонами. Соседние вершины - вершины четырехугольника, которые являются концами одной из его сторон.

Противоположные вершины - вершины четырехугольника, которые не являются соседними. Диагональ - отрезок, соединяющий противоположные вершины. Соседние стороны - стороны четырехугольника, выходящих из одной вершины. Противоположные стороны - стороны четырехугольника, которые не имеют общего конца. Периметр - сумма всех сторон четырехугольника. Четырехугольник обозначается указанием его вершин, при этом вершины называют последовательно. У каждого четырехугольника 4 вершины, 4 стороны, 2 диагонали. Если в любом четырехугольнике провести одну диагональ, то четырехугольник разобьется на два треугольника. Сумма углов заданного четырехугольника будет равна сумме углов двух полученных треугольников. Учитывая, что сумма углов любого треугольника равна 180, то сумма углов заданного четырехугольника равна 360 °. Запомните! Сумма углов любого четырехугольника равна 360.

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