Предмет: Геометрия, автор: so8oleff

ДАЮ МАКСИМАЛЬНОЕ КОЛИЧЕСТВО БАЛОВ!!!!!!!

Докажите, что отрезок, соединяющий середины боковых сторон трапеции, параллелен основаниям трапеции.
ВОТ ПО ТАКОМУ ЧЕРТЕЖУ

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Автор ответа: slomanierebrap48reu

Ответ:

Пусть М - середина AB. Проведем прямую MN||AD||BC. Точка N -середина CD по т. Фалеса. Докажем, что MN - единственный. Через точки M и N можно провести только одну прямую (аксиома), т.е. отрезок, соединяющий середины боковых сторон трапеции ABCD параллелен основаниям, ч.т.д.

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