MathDB
2016 CNMO Grade 10/11 P6

Source: 2016 China Northern MO Grade 10, Problem 6; 2016 China Northern MO Grade 11, Problem 6

February 24, 2020
geometry

Problem Statement

Four points B,E,A,FB,E,A,F lie on line ABAB in order, four points C,G,D,HC,G,D,H lie on line CDCD in order, satisfying: AEEB=AFFB=DGGC=DHHC=ADBC.\frac{AE}{EB}=\frac{AF}{FB}=\frac{DG}{GC}=\frac{DH}{HC}=\frac{AD}{BC}. Prove that FH⊥EGFH\perp EG.
Back to ProblemsView on AoPS