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reflecting vertices of ABC, square - All-Russian MO 1997 Regional (R4) 11.2

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September 24, 2024
geometryreflectionCentroid

Problem Statement

All vertices of triangle ABCABC lie inside square KK. Prove that if all of them are reflected symmetrically with respect to the point of intersection of the medians of triangle ABCABC, then at least one of the resulting three points will be inside KK.
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