Points that are quadrilaterals

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When are 4 points in a plane considered quadrilaterals? Also, could you give me examples of 4 points that are not considered quadrilaterals? Thank you in advance!

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The definition varies depending on the user and the application, but the biggest challenges are 1) three points in a line, so an angle is $\pi$: $(0,0), (0,1), (0,2), (1,1)$, 2) a crossing quadrilateral $(0,0), (2,0), (0,2), (2,2)$, 3) a concave quadrilateral: $(0,0), (10,0), (10,10), (9,1)$

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