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Question

How many measurements are sufficient to make a quadrilateral?

A
4
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B
5
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C
6
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D
7
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Solution

The correct option is B 5
Any four measurements are not sufficient to draw a unique quadrilateral.
Let us take AB = 5 cm, BC = 6 cm, AD = 7 cm, CD = 8 cm. We shall start constructing with any one side (say AB).
Construct AB with length 5 cm. Now as we have BC and AD we can draw arcs with BC and AD as radii.
But we cannot mark the points C and D based on the data given. So, we need more data to draw a quadrilateral.
So we need a minimum of 5 measurements to construct a quadrilateral.

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