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2009 AMC 10B Question 13

AMC10 · 2009 AMC 10B

Question 13

As shown below, convex pentagon $ABCDE$ has sides $AB=3,$ $BC=4,$ $CD=6,$ $DE=3,$ and $EA=7.$ 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?

Question illustration
  1. $\overline{AB}$
  2. $\overline{BC}$
  3. $\overline{CD}$
  4. $\overline{DE}$
  5. $\overline{EA}$