[b]Students:[/b][br][br]If you haven't visited this [url=https://www.geogebra.org/m/GThvZU9Z]Finsler-Hadwiger Action worksheet[/url] yet, be sure to do so before completing the exercises below the applet.

In the applet above, you'll notice two squares that share a common vertex.[br]You can adjust the locations of this [color=#1e84cc][b]common vertex [/b][/color]and the [b]two white points[/b] (if you choose). [br][br]The centers of these squares are shown.[br]The midpoints of the segments that connect "nearby" vertices are also shown as well. [br][br]Click on the [b]"Show Quadrilateral"[/b] checkbox. What do you notice about [color=#38761d][b]this quadrilateral[/b][/color]? [br][b][color=#1e84cc][br]Your instructor will indicate to you (and your group members) where to put the common vertex [/color]and the locations of the white points. [br][br][/b]After he/she does this, use the tools of coordinate geometry (distance, midpoint, slope) to [color=#38761d][b]PROVE that the green quadrilateral is INDEED what you claim it is.[/b][/color] Do this on a separate sheet of paper. Make sure to clearly label each necessary point and be sure to label your calculations within your proof!