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. You may send NeXT mail to email@example.com. Please cc a copy to firstname.lastname@example.org so that we'll know to check mail there. Submissions are welcome from non-high school students, but you won't be eligible for the awesome t-shirts! :-)
Project of the Month for February 1994
What figure is formed when the consecutive midpoints of the sides of a quadrilateral are joined? What if the original quadrilateral were a rectangle? A kite? An isosceles trapezoid? A square? A rhombus? Other shapes? Explain why you think your answer is true.