A modern take on Matthias Wandel's classic [0], which has you guess a variety of geometric attributes (e.g. angle bisection, centroid locating, shape regularization), not just simple partitioning of a line. [0] https://woodgears.ca/eyeball/index.html
Oh wow - that is very cool. Thanks for sharing.
Also, both of these tickled my brain in a great way. I think a potentially fun continuation would be to "eyeball" physics. For example, throw a ball and pause the physics before it hits something (ground, object, who knows?) and guess the location. Or show two objects about to collide with certain shapes and masses and guess what one of them will hit first and where.