OBM 2003 Problem 3
Seja ABCD um losango. Sejam E, F, G e H pontos sobre os lados AB, BC, CD e DA, respectivamente, e tais que as retas EF e GH são tangentes à circunferência inscrita no losango. Prove que as retas EH e FG são paralelas.
Official text Brazilian Mathematical Olympiad 2003 official paper, page 1. Quoted with source.
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