SIMON-MARAIS 2020 A1
- Paper A
There are 1001 points in the plane such that no three are collinear. The points are joined by 1001 line segments such that each point is an endpoint of exactly two of the line segments.
Prove that there does not exist a straight line in the plane that intersects each of the 1001 line segments in an interior point.
An interior point of a line segment is a point of the line segment that is not one of the two endpoints.
Official text Simon Marais Mathematics Competition 2020 official paper, page 2. Quoted with source.
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