MathDB
The Reflection triangle and a collinearity

Source: Tournament of Towns,Spring 2002, Senior O Level, P2

May 14, 2014
geometrygeometric transformationreflectionrotationgeometry proposed

Problem Statement

ΔABC\Delta ABC and its mirror reflection ΔA′B′C′\Delta A^{\prime}B^{\prime}C^{\prime} is arbitrarily placed on the plane. Prove the midpoints of AA′,BB′,CC′AA^{\prime},BB^{\prime},CC^{\prime} are collinear.
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