Difference between revisions of "2012 USAMO Problems/Problem 5"
(Created page with "== Problem == Let <math>P</math> be a point in the plane of triangle <math>ABC</math>, and <math>\gamma</math> a line passing through <math>P</math>. Let <math>A'</math>, <math...") |
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| + | ==See also== | ||
| + | *[[USAMO Problems and Solutions]] | ||
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| + | {{USAMO newbox|year=2012|num-b=4|num-a=6}} | ||
Revision as of 17:00, 25 April 2012
Problem
Let 
be a point in the plane of triangle 
, and 
a line passing through . Let 
, 
, 
be the points where the reflections of lines 
, 
, 
with respect to intersect lines 
, 
, 
, respectively. Prove that , , are collinear.
Solution
See also
| 2012 USAMO (Problems • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
