Four-point square?

Question

This one's been bugging me for years since I took hs geometry. Construction using only ruler and compass. Given any four points, construct a square so that each side of the square or its extension passes through one of the four points. Show method, please

Answer 1

this is not possible.
for example, consider the following consideration:
take 3 points to be a triangle, and put the 4th point in the center.