Your test suite just checks whether a quadrilateral has equal sides, but that's not enough to form a square: rhombuses also have equal sides. Therefore, the test suite should also check a solution's angles.
PS: A test case filled with rhombuses and a single square on the curve would be instructional too.
Which doors are open?
Better bullseye matrix
Angle between two vectors
Make a run-length companion vector
Spot the outlier
Fix the last element of a cell array
Spot the rectangle
Encoding Google Maps Polylines
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