Show the Rectangle is Golden
A Golden Rectangle has the property that if the original rectangle is partitioned into a square and a new rectangle, the resulting rectangle is similar to the original rectangle.
The question is: How does one check for similarity?
Click [Rotate Rectangle] and [Check the Ratios] below and see.
Dedication
This GoldenMean app was created in honor of John Golden (@mathhombre), who, in ten valuable minutes, taught me how to do animations with buttons in GeoGebra.