MathDB

3

Part of 2006 Korea Junior Math Olympiad

Problems(1)

6 concyclic points given, concurrent, perpendicular, parallel wanted

Source: KJMO 2006 p3

4/30/2019
In a circle OO, there are six points, A,B,C,D,E,FA,B,C,D,E, F in a counterclockwise order. BD⊥CFBD \perp CF, and CF,BE,ADCF,BE,AD are concurrent. Let the perpendicular from BB to ACAC be MM, and the perpendicular from DD to CECE be NN. Prove that AE//MNAE // MN.
geometryConcyclicperpendicularparallel