Number of Measurements Necessary for Construction of a Unique Quadrilateral
The minimum n...
Question
The minimum number of measurements required to construct a quadrilateral is ___. Choose the most appropriate answer to fill in the blank.
A
5
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B
4
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C
3
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D
2
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Solution
The correct option is A 5 A quadrilateral has ten parts in all: four sides, four angles and two diagonals. The possible cases in which quadrilaterals can be constructed are:-
Construction of quadrilaterals when four sides and one diagonal are given.
Construction of quadrilaterals when three sides and two diagonals are given.
Construction of quadrilaterals when three sides and two included angles are given.
Construction of quadrilaterals when two adjacent sides and three angles are given.
Construction of quadrilaterals when four sides and one angle are given.
All these cases require a minimum of five measurements.