AMC 10A 2002 Problem 20

Points A, B, C, D, E, and F lie, in that order, on \overline{A F}, dividing it into five segments, each of length 1 . Point G is not on line A F. Point H lies on \overline{G D}, and point J lies on \overline{G F}. The line segments \overline{H C}, \overline{J E}, and \overline{A G} are parallel. Find H C / J E.

Answer Choices
A. 5 / 4
B. 4 / 3
C. 3 / 2
D. 5 / 3
E. 2

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