Difference between revisions of "2012 USAMO Problems/Problem 5"

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==Solution==
 
==Solution==
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==See also==
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*[[USAMO Problems and Solutions]]
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{{USAMO newbox|year=2012|num-b=4|num-a=6}}

Revision as of 18:00, 25 April 2012

Problem

Let $P$ be a point in the plane of triangle $ABC$, and $\gamma$ a line passing through $P$. Let $A'$, $B'$, $C'$ be the points where the reflections of lines $PA$, $PB$, $PC$ with respect to $\gamma$ intersect lines $BC$, $AC$, $AB$, respectively. Prove that $A'$, $B'$, $C'$ are collinear.

Solution

See also

2012 USAMO (ProblemsResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6
All USAMO Problems and Solutions
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