Since you have now had the opportunity to take a look at the Kline Model and the Poincaré Model, let's compare the two models a bit and see what we have noticed.
What do you notice about line segments in the Kline Model? in the Poincaré Model? How are they different how are they the same?
What do you notice about angles in the Kline Model? in the Poincaré Model? How are they different how are they the same?