# Finsler-Hadwiger Exercise (VA)

- Author:
- Tim Brzezinski

**Students:**If you haven't visited this Finsler-Hadwiger Action worksheet 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.
You can adjust the locations of this

**common vertex**and the**two white points**(if you choose). The centers of these squares are shown. The midpoints of the segments that connect "nearby" vertices are also shown as well. Click on the**"Show Quadrilateral"**checkbox. What do you notice about**this quadrilateral**?**Your instructor will indicate to you (and your group members) where to put the common vertex and the locations of the white points.**After he/she does this, use the tools of coordinate geometry (distance, midpoint, slope) to**PROVE that the green quadrilateral is INDEED what you claim it is.**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!