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Project of the Month for January
Posted:
Jan 3, 1994 12:35 PM
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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 pow@forum.swarthmore.edu. 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! :-)
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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?
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