Copy of Pantograph with GeoGebra

This is a simulation of the traditional pantograph which is used to enlarge figures.
In building a GeoGebra simulation, it is important to analyze the dependencies of the pantograph, as is important in all GeoGebra models. [br][br]1) How does understanding such dependencies help students approach the mathematics?[br]2) Why is the pantograph able to produce "proportional" enlargements? [br]3) Is it "always" mathematically proportional? What if you change the lengths of the relevant segments?[br]4) What is the ratio between AB and AP?[br]5) How is it related to the mathematical idea of dilation?

Information: Copy of Pantograph with GeoGebra