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Geometry Forum Problem of the Week

    Constructing Diverse Quadrilaterals - March 27-31, 1995

    "Hey Natalie! What's your group doing in class tomorrow?" asked Jerome.

    "We're supposed to construct a quadrilateral with four congruent sides."

    "That's it?" chimed in Robert. "We've gotta do a quadrilateral where the diagonals are perpendicular bisectors of each other. How 'bout you, Dennis?"

    "We're supposed to construct a quadrilateral whose diagonals bisect the angles. Jerome?"

    "We're doing a four-sided parallelogram with congruent consecutive sides."

    "Cool!" exclaimed Natalie. "Just like the weather recently, it sounds like we have a lot of variety! These are days when geometry starts to look like a lot of fun!"

    "Yeah," said Dennis. "I can't wait to talk tomorrow about what we all constructed!"

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2 July 1995