AMC 10 Step by Step
2002 AMC 10AProblem 20P16-20~3 minPrint

Points A,B,C,D,EA,B,C,D,E and FF lie, in that order, on AF\overline{AF} , dividing it into five segments, each of length 1. Point GG is not on line AFAF . Point HH lies on GD\overline{GD} , and point JJ lies on GF\overline{GF} . The line segments HC,JE,\overline{HC}, \overline{JE}, and AG\overline{AG} are parallel. Find HC/JEHC/JE .

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.