Origami Square Root Improved

This is the improved version of my previous origami and mathematics post. There is a discussion about this applet here.

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Paper folding and proof

In this applet, we will show how to construct a quadrilateral by simulating the paper folding process.

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Questions:

1.) After step 1 (at p=3), what can you observe? What statements can you make?
2.) After step 2 (at p= 3 and q = 3), what can you say about the overlapping triangles?
3.) After step 3, what kind of quadrilateral is ABCD?  Justify your answer.