Davey Vaughn
11/09/2024 · Middle School
с-9 1. На рисунке \( 11 A B=B C, A K=K C, \angle A K E=\angle P K C \). До- кажите, что \( \triangle A K E=\triangle K P C \).
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Для доказательства равенства треугольников \( \triangle AKE \) и \( \triangle KPC \) используем критерий UUS. Углы \( \angle AKE \) и \( \angle KPC \) равны по условию, а также \( \angle AKE = \angle PKC \). Стороны \( AK \) и \( KP \) также равны. Следовательно, по критерию UUS, \( \triangle AKE \) и \( \triangle KPC \) равны.
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