1. [b]Generate cases:[/b] Drag vertices of the blue and red rectangles to make rectangles [br] of different sizes and at different locations. [br][br] a. What seems to happen to the coordinates as you drag each vertex?[br][br] b. Make the following rectangles. Record the coordinates of their vertices in your [br]  notebooks.[br] [br]  A long, skinny rectangle[br][br]  A square[br][br]  A rectangle with vertex (0,0)[br][br]  A rectangle that is in two quadrants of the coordinate grid[br][br][br]2. Describe [b]patterns[/b] that you see in the coordinates of the vertices. [br][br]3. Make[b] conjectures [/b]about the relationships between the coordinates of the vertices of [br] any rectangle whose sides are parallel to the x and y-axes. [br][br]4. [b]Justify[/b] one conjecture based on what you know about coordinate geometry. Remember, your conjecture may turn out to be true or false.[br][br]5. Write down your [b]conclusion.[/b]