True or false: If you draw a trapezium on the ground, there always exists a point above (but not necessarily directly above) the trapezium such that the trapezium looks like a square from that point.
Intuitively this seems true to me, but I'm not sure how you would go about proving/disproving this. Is there an easy-to-understand method of proving/disproving the above statement?
(By "looks like a square" I mean if you take a photograph of the trapezium from that point, the four corners of the trapezium form a square on the 2D photograph)