[list][*]Join the midpoints of the sides of the quadrilateral ABCD to form another quadrilateral PQRS.[/*][*]Any observations?[/*][*]Move the vertices of the original quadrilateral ABCD.[/*][*]Any conjectures? [/*][*]Prove your conjectures![/*][*]Can you make a different proof? And another? About the same conjecture? About a different conjecture?[/*][/list]

[list][*][url=https://www.geogebra.org/m/sm45zvdq]Harder vector proofs[/url][/*][*][url=https://www.geogebra.org/m/uW9Rcmmj]Pythagorean Theorem Proofs[/url][/*][/list]