Theorem 2.4.3

The figure below is a quadrilateral with perpendicular diagonals. (You can construct the diagonals and drag the figure to convince yourself that this is the case). We say that this quadrilateral is orthodiagonal.

1. Using the Regular Polygon tool, construct a square connected to each side of the quadrilateral.
2. Use the Area tool to find the area of each square.
3. What is the relationship between the areas of the square? Is this true of every orthodiagonal quadrilateral?

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Kelly Shattuck, July 17, 2008, Created with GeoGebra