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Yes we can make a square by these points 
it is a theorem by which we can check it 
difference between 0 and 2 is 2 and its square is 4
and diff. between -1 and  1 is 2 nd its square is 4 
we can apply  this theorem on all vertex

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Check whether the distance adjacent vertices is same or not to get the length of sides  
If it is same then find distance between opposite vertices then u get the diagonals length 
. If the diagonals length is equal .then we can say the following vertices forms the square .
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