2012 USAMO Problems/Problem 2

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Problem

A circle is divided into 432 congruent arcs by 432 points. The points are colored in four colors such that some 108 points are colored Red, some 108 points are colored Green, some 108 points are colored Blue, and the remaining 108 points are colored Yellow. Prove that one can choose three points of each color in such a way that the four triangles formed by the chosen points of the same color are congruent.

Solution

See also

2012 USAMO (ProblemsResources)
Preceded by
Problem 1
Followed by
Problem 3
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All USAMO Problems and Solutions
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