Question 75

___ measurements can determine a quadrilateral uniquely.

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Solution

5

To construct a unique quadrilateral, we require 5 measurements, i.e. four sides and one angle or three sides and two included angles or two adjacent sides and three angles should be given.

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______ measurements can determine a quadrilateral uniquely.

A B = 4 c m, C D = 5 c m, ∠ A B C = 75^{\circ}, ∠ B C D = 45^{\circ}

∠ C D A = 135^{\circ}

A quadrilateral can be constructed uniquely if the measurement of ______ sides and _______ angles are given.

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