Geometry · Convex hexagon · Area bisection · Areas with a common base · Trapezoid · Parallel lines
In a convex hexagon \(ABCDEF\), each of the two diagonals \(AD\) and \(BE\) divides the hexagon into two pieces of equal area. Prove that the quadrilateral \(BDEA\) is a trapezoid.
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian Republic Competition (Republicko takmicenje) 1999, high school grade I, category A, problem 1. Organized by the Mathematical Society of Serbia (DMS). Source