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Question

The minimum number of measurements required to determine a quadrilateral is:

A
3
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B
4
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C
5
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D
6
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Solution

The correct option is C 5
Assume that we know the measures of all the sides of a given quadrilateral ABCD, where AD = BC = 10 cm and AB = CD = 8 cm. Now, there are many quadrilaterals that satisfy the above measurements, such as the ones given below.
But, if we have information about the diagonal AC or BD, then we get a unique quadrilateral.

Similarly, specific combinations of five measurements can determine a quadrilateral uniquely.

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