why Is it possible to construct a quadrilateral from any 4 given measurements of its sides
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To construct a unique quadrilateral, we will be need a minimum of 5 dimensions.
Here in option A, only four dimensions are provided, so unique quadrilateral not possible because we don't know its angles.
In option B, we have five dimensions, but it does not results in a unique quadrilateral. we needed one more side length to construct uniquely.
In option C, It is not possible to construct a unique quadrilateral from only two diagonals given, unless it is an rhombus or square.
In option D, we have five dimensions. Here if we draw a side first then mark angle on both ends then we can construct a quadrilateral uniquely.
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