Given triangle $ABC$. Consider lines $l$ with the next property: the reflections of $l$ in the sidelines of the triangle concur. Prove that all these lines have a common point.
Problem
Source: Sharygin Geometry Olympiad 2012 - Problem 15
Tags: geometry, geometric transformation, reflection, geometry unsolved
WakeUp
29.04.2012 20:59
Potla, did you participate in this competition? So is this an international competition? I thought it was only for Russian students :O
Potla
30.04.2012 00:26
WakeUp wrote: Potla, did you participate in this competition? So is this an international competition? I thought it was only for Russian students :O I don't really know, but after sending them the solutions, it seems that they accepted them, and the results might be declared by the end of May. Although this is only for grades $8-11,$ and I am in $12$th grade now already, so I can't participate in it any longer. And so I guess it's an International contest, otherwise why would they bother to make two different sets of questions : one in Russian and other in English?