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Задача 52:
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В равнобедренном треугольнике ABC, AB = BC. Точка D на BC такова, что верно равенство углов: DAB = BAC. Точки X и Y на AB и BC соответственно таковы, что AX : XB = 2 : 1 и BY : YC = 2 : 1. Доказать, что отражение D относительно XY лежит на AC.



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Задача 52:
Автор - Ким Пëтр

В равнобедренном треугольнике ABC, AB = BC. Точка D на BC такова, что верно равенство углов: DAB = BAC. Точки X и Y на AB и BC соответственно таковы, что AX : XB = 2 : 1 и BY : YC = 2 : 1. Доказать, что отражение D относительно XY лежит на AC.

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