Question: I. (6 points) Let there be five distinct points on the xy plane with integer coordinates. Between any two points of the five points, a

 I. (6 points) Let there be five distinct points on the

I. (6 points) Let there be five distinct points on the xy plane with integer coordinates. Between any two points of the five points, a line segment can be drawn. Show that there must be a line segment with a midpoint that have integer coordinates

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