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A Parallelogram Dissection

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Author: Annie Fetter and Everyday Math Grade 3
Description: teacher support active problem Geometry, difficulty level 3. Cut the given parallelogram along the dotted lines and rearrange the three resulting triangles to form what seems to be a square. What needs to be true of the original figure in order for the resulting figure to actually be a square?
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Problem page: http://mathforum.org/librarypow/puzzles/index2.ehtml?puzzle=3327
Support page: http://mathforum.org/pow/support/geopow/20050207geo.teacher.html
Solution page: Problem #3327

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