2016 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 9

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Problem

Suppose every point in the plane is colored by one of two given colors, say red or blue. Given a triangle $\triangle$, show that there is a triangle in the colored plane whose vertices are of the same color and is similar to the given triangle $\triangle$.

Solution

See also

2016 UNM-PNM Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 8
Followed by
Problem 10
1 2 3 4 5 6 7 8 9 10
All UNM-PNM Problems and Solutions

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