Many of these questions take the form "This theorem is true in the Euclidean plane; is it true in the Poincaré plane?" For example: do the angle bisectors of a triangle always meet? Is the angle sum of a triangle ever 180 degrees? This type of question is designed to help students break out of their Euclidean intuition and see the possibility of another way of describing their world - especially when they can be lead to experiment with small regions of the Poincaré universe and thereby realize that these are experimentally indistinguishable from small regions of the Euclidean one.