Kites are represented in the left panel by the positions of their vertices and the sides and diagonals joining the vertices.[br][br]They are represented in the right panel by the points in a rectangle that has the angle between sides of the kite plotted along one axis and the ratios of side lengths and diagonal lengths plotted along the other.[br][br]You can control the applet from the left panel. Drag the yellow dots to explore the space of kites as seen in the right panel.[br][br]Explain how you might construct a kite from a point plotted in the right hand panel. [br] Does every possible [b][i][u]shape[/u][/i][/b] kite correspond to a point in the rectangle on the right? [br] Does every point in the rectangle on the right correspond to a kite? [br] Can you prove your argument?[br][br]Can any [b][i][u]shape[/u][/i][/b] kite be generated by the controls in the left panel? [br] If yes, can you prove it? [br] If no, can you give a counterexample?[br][br]What have you learned from this applet?[br][br][b][i][color=#ff0000]What problem(s) based on this applet would/could you give to your students?[br][/color][/i][/b][br]