Minimum Number of Variables required to represent any 4 points in Cartesian Co-Ordinates?

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The points are guaranteed to be the vertices of some orthogonally oriented rectangle.

A trivial solution to problem is to use 8 variables, Two for each point. A better solution is to use 4 values, namely x , y co-ordinates of the center of the rectangle of those 4 points, the width and the height of the rectangle. But can we go lower? or Can we prove otherwise that 4 is the minimum?