A point is located in a square. Distances are drawn to either the sides of the square or to its vertices.[br][br]This applet provides an environment to explore under what circumstances the four distances[br]can form a quadrilateral, and if they can, what can be said about the quadrilateral formed.[br][br]Move the yellow point in the left panel to set the four distances. [br][br]There are two ways to link the four distances to one another to form a quadrilateral – [br]either BLUE - BLUE - GREEN - GREEN [BBGG] or BLUE - GREEN - BLUE - GREEN [BGBG][br][br]Having fixed the location of the point in the square in the left panel, start by choosing one[br]of the kinds of linkages [ either BBGG or BGBG ] and drag the white and black dots to form[br]closed quadrilaterals.[br] [br]The yellow dot allows you to translate the linkage without deforming it.[br][br]What can you say about the kinds of quadrilaterals that you can form with each linkage of the distances to the sides? [br]Are there quadrilaterals that can be formed with one linkage to the sides but not the other?[br][br]Are there quadrilaterals that cannot be formed at all by either linkage to the sides?[br][br]What can you say about the kinds of quadrilaterals that you can form with each linkage of the distances to the vertices? [br]Are there quadrilaterals that can be formed with one linkage to the vertices but not the other?[br][br]Are there quadrilaterals that cannot be formed at all by either linkage to the vertices?[br][color=#ff0000][i][b][br]What questions could/would you ask your students based on this applet?[/b][/i][/color]