



 
Sefora, Let me try 4 different points A(3,2), B(1,2), C(2,4), D(4,3) Here is my sketch I plotted the four points and them to form 4 line segments with no internal crossings. It sure doesn't look like a rectangle. If it were a rectangle then the adjacent sides BD and DA would be perpendicular. I'll check by calculating the slopes
If these line segments were perpendicular then slope DA = 1/[Slope BD], but this is not true so ACBD is not a rectangle. I hope this helps,  


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