Алгебра
Английский
Биология
География
Геометрия
История
Русский
Обществознание
Физика
Химия
Информатика
Литература
МатематикаВопрос:
In figure 9, AC = BC, CD = CF, angle ACD = angle BCF. Prove that triangle ACD is congruent to triangle BCF.
Ответ:
Краткое пояснение: Используем признак равенства треугольников по двум сторонам и углу между ними (SAS).
Пошаговое решение:
- Рассмотрим треугольники ACD и BCF.
- AC = BC (дано).
- CD = CF (дано).
- Угол ACD = Угол BCF (дано).
- Следовательно, треугольник ACD равен треугольнику BCF по первому признаку равенства треугольников (по двум сторонам и углу между ними).
Ответ: Треугольник ACD равен треугольнику BCF по первому признаку равенства треугольников.
Похожие
- In figure 1, AB || CD. Prove that triangle ABC is congruent to triangle ADC.
- In figure 2, MK = NK, AM = BN, angle M = angle N. Prove that triangle KMT is congruent to triangle KNT.
- In figure 3, angle P = angle R, PK = RK, angle PKR = angle RKK. Prove that triangle PRS is congruent to triangle RQS.
- In figure 4, angle E = angle F, angle R = 90 degrees, angle S = 90 degrees, RE = SF. Prove that triangle RES is congruent to triangle SFE.
- In figure 5, SP = SK, MP = MK, angle S = angle K. Prove that triangle SPM is congruent to triangle SKM.
- In figure 6, AD = BD, CD is perpendicular to AB, CE = DE. Prove that triangle ACE is congruent to triangle BCE.
- In figure 7, MR = NS, MT = NT, angle RMT = angle SNT. Prove that triangle RMT is congruent to triangle SNT.
- In figure 8, angle M = angle L, MK = RL, angle MKR = angle RNL. Prove that triangle MKR is congruent to triangle RLN.
- In figure 10, angle D = 90 degrees, angle B = 90 degrees, AD = BC, AB || CD. Prove that triangle ABD is congruent to triangle CDB.
