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Sharygin Geometry Olympiad
2012 Sharygin Geometry Olympiad
15
15
Part of
2012 Sharygin Geometry Olympiad
Problems
(1)
Reflections of line
Source: Sharygin Geometry Olympiad 2012 - Problem 15
4/28/2012
Given triangle
A
B
C
ABC
A
BC
. Consider lines
l
l
l
with the next property: the reflections of
l
l
l
in the sidelines of the triangle concur. Prove that all these lines have a common point.
geometry
geometric transformation
reflection
geometry unsolved