Предмет: Математика, автор: ptemchenko2016

— Дано: AD = BC, AB = CD. Доказать: угол A = угол C.

Ответы

Автор ответа: Аноним

Соедините вершины В и D четырехугольника. Получите два треугольника, все три стороны которых равны. Эти треугольники равны по третьему признаку равенства треугольников.

∠ А = ∠ С, это следует из равенства треугольников АВD и СDВ.

Аналогично и ∠D = ∠ В.

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