The Project of the Month is debuting on the Forum this month!
The project is a more involved problem than those used for the Problem of the Week. In some cases, it may be helpful to use Sketchpad or some other drawing program to help in preparing a solution.
Solutions will be accepted from teams of no more than four students. The team submitting the most complete solution will receive Geometry Forum t-shirts. Solutions must be received by Friday, January 28 to be considered. Anything may be used to reach a conclusion, but solutions must be submitted electronically. Computer-constructed documents, such as Sketchpad sketches or graphics files, may be sent - the answer does not have to be just in text form.
Note: You don't have to _prove_ the answer to submit your solution. Just provide a convincing argument for your claim. This may include an explanation with accompanying pictures, or perhaps a well-documented Sketchpad sketch.
Submissions should include the names, grade(s), and school of the team members. Mail them to firstname.lastname@example.org. DO NOT POST YOUR ANSWER! If you have questions about how to submit any accompanying documents, just send mail. Please, no NeXT mail. Submissions are welcome from non-high school students, but you won't be eligible for the awesome t-shirts! :-)
Project of the Month for January 1993
Take any quadrilateral. Construct perpendicular bisectors of the sides to get a new quadrilateral. Repeat on the new quadrilateral to get another quadrilateral. What is true of this new quadrilateral? How can you show that this is true?