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Regional Olympiad - FBH 2011 Grade 9 Problem 3

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2011

September 26, 2018
rotationgeometrymedian

Problem Statement

Triangle AOBAOB is rotated in plane around point OO for 90∘90^{\circ} and it maps in triangle A1OB1A_1OB_1 (AA maps to A1A_1, BB maps to B1B_1). Prove that median of triangle OAB1OAB_1 of side AB1AB_1 is orthogonal to A1BA_1B
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