Choose whether given statement is true or false:

A quadrilateral can be drawn if all four sides and one diagonal is known.

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True

False

answer is A.

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Detailed Solution

For constructing a quadrilateral, we required at least 5 elements in a way that the number of given number of sides must be greater than the number of given angles. Since we need a minimum of five measurements to find a quadrilateral uniquely. For drawing a unique quadrilateral, the knowledge of any five elements is not sufficient. We require the combination of specific 5 elements. These are the following measurements which are required to construct quadrilaterals.
1) A diagonal and 4 sides.
2) 2 diagonals and 3 sides.
3) An angle and 4 sides.
4) 2 included angle and 3 sides.
5) 2 adjacent sides and 3 angles.
Thus, the given statement is true.
Hence, option 1 is correct.

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