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2009 AMC 10B Problem 13

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2009 AMC 10B Problem 13AMC 10 Step by Step

Name: Date: September 13, 2026

Modular Arithmetic · difficulty 2 of 5 · about 3 min · position P11-15

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?

A)
$\overline{AB}$
B)
$\overline{BC}$
C)
$\overline{CD}$
D)
$\overline{DE}$
E)
$\overline{EA}$

2009 AMC 10B Problem 13

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