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Parallelogram in a Quadrilateral (Construction)
There are a series of quadrilaterals on is presented on plain paper. The initial task is to form the shape derived by joining the midpoints of each side. The resulting quadrilateral is in each case a parallelogram. Not only that but each parallelogram is similar. The second part of the investigation involves proving that the area of the parallelogram is the same in each case. There is a Geogebra file to help with demonstrating the problem.
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