AMC 10B 2009 Problem 13

As shown below, convex pentagon A B C D E has sides A B=3, B C=4, C D=6, D E=3, and E A=7. The pentagon is originally positioned in the plane with vertex A at the origin and vertex B on the positive x-axis. The pentagon is then rolled clockwise to the right along the x-axis. Which side will touch the point x=2009 on the x-axis?

Answer Choices
A. \overline{A B}
B. \overline{B C}
C. \overline{C D}
D. \overline{D E}
E. \overline{E A}