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