Before exploring this applet study this [url=https://www.geogebra.org/m/shWAJv4w]one[/url] ![br][br]BREAK A STICK INTO FOUR PIECES.[br][br]Can you [i][b]always[/b][/i] make a closed quadrilateral in the plane using the four pieces?[br]How many quadrilaterals can you make? How do you know?[br][br]Can you prove your answer? [br][br]Can you make [i][b]any shape[/b][/i] closed quadrilateral in the plane using[br]four sticks the sum of whose lengths is fixed?[br] [br]Can you prove your answer?[br][br]What closed polygons with more than four sides can you make (and [b][i]not[/i][/b] make) if you break a stick into more than four pieces?[br][br][i][color=#ff0000][b]What problems could/would you set for your students based on this applet?[/b][/color][/i]