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Can a trapezoid also be a kite?

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All they are special cases of a quadrilateral. A kite is a quadrilateral formed by two isosceles triangles with the equal base by gluing along the latter. So the base becomes a diagonal. read more

So a kite must have 4 equal sides to be a trapezoid. Therefore it must be a rhombus. So a kite can be a trapezoid; this is the case when it's a rhombus. The converse is also true. So a quadrilateral is both a trapezoid and a kite if and only if it's a rhombus. In other words, a rhombus is a special case of both a trapezoid and a kite. read more

You can picture the kite by picturing the"traditional" kind of kite that flies. It is an"enlongated diamond" with the lower pair of sides longer than the top pair. Nowhere in the formula for a kite is there a provision for any two sides to be parallel. There cannot be. So a trapezoid, which has a pair of parallel sides, can't be a kite. read more

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