[[1]] measurements can determine a quadrilateral uniquely.

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Detailed Solution

5 measurements can determine a quadrilateral uniquely.
For creating a quadrilateral, we need at least five measurements to find a quadrilateral uniquely. For constructing a unique quadrilateral, the data of any five elements is not sufficient. We require a combination of specific 5 elements.
These are the measurements which are required to construct quadrilaterals:
●       1 diagonal and 4 sides
●       2 diagonals and 3 sides
●       2 included angles and 3 sides
●       2 adjacent sides and 3 angles
Hence, the correct answer is 5.

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