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МатематикаВопрос:
In figure 10, angle D = 90 degrees, angle B = 90 degrees, AD = BC, AB || CD. Prove that triangle ABD is congruent to triangle CDB.
Ответ:
Краткое пояснение: Используем признак равенства прямоугольных треугольников по катету и гипотенузе (Leg-Hypotenuse).
Пошаговое решение:
- Рассмотрим треугольники ABD и CDB.
- Угол D = Угол B = 90 градусов (дано).
- BD является общей стороной для обоих треугольников.
- AD = BC (дано).
- Следовательно, треугольник ABD равен треугольнику CDB по катету и гипотенузе.
Ответ: Треугольник ABD равен треугольнику CDB по катету и гипотенузе.
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