[size=150]Creation of this problem was inspired by an Open Middle problem submitted by [url=https://twitter.com/jdmahlstedt]John Mahlstedt[/url]. Even though this problem is different from [url=https://www.openmiddle.com/create-squares/]his submitted problem[/url], they both share a common theme. [/size]
[size=150]Move [b]the vertices[/b] of the quadrilateral below so that the following conditions are met:[br][br]1) No 2 coordinates have the same absolute value. [br]2) The absolute values of all coordinates are integers ranging from 0 to 9. [br]3) The quadrilateral formed is a square. [br][/size][size=150][br]Once you form a quadrilateral that meets all these conditions, you'll see a [color=#ff00ff][b]SQUARE![/b] [/color]sign appear. [br][br][/size][size=150]How many different setups can you create? [/size]
Suppose the applet above didn't indicate to you that your quadrilateral was a square. [br]How could you prove this using coordinate geometry? Do so below.
Suppose the applet above didn't indicate to you that your quadrilateral was a square. [br]How could you prove this using coordinate geometry? Do so below.