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A square ABCD is inscribed in a circle. The circle is folded to form a semisircle, and another square EFGH is inscribed in this semicirlcle. Find the ratio of the area of the square EFGH to the area of the square ABCD.
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The following figure is a rectangular box in which EFGH and ABCD are rectangles and BF (with a bar on top) is perpendicular to planes EFGH and ABCD.Are BD and GH parallel?
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