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Fill in the blank to make the statement true.
For constructing a unique quadrilateral at least ___ measurements are required.
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Question

Fill in the blank to make the statement true.
For constructing a unique quadrilateral at least ___ measurements are required.

Answer

Five
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Solution

To construct a unique quadrilateral we need to know \(5\) measurements (elements). Various combinations of elements for constructing a unique quadrilateral is as below:
(a) Four sides and a diagonal.
(b) Three sides and two diagonals.
(c) Four sides and an angle.
(d) Three sides and two included angles.
(e) Two adjacent sides and three angles.
(f) Using special properties of a square or a rhombus, etc.
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