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Constructions of Quadrillaterals

Constructions of Quadrillaterals

TGM Original Questions
  1. Construct a parallelogram \(ABCD\) such that \(AB=11\) cm, \(BC=8\) cm and angle \(ABC=45^{\circ}\).
    Measure and write down the length of the diagonal \(AC\).
  2. Construct a trapezium \(ABCD\) such that \(AD\) is parallel to \(BC\), \(AB=3.7\) cm, \(BC=8.8\) cm, \(CD=4.2\) cm and angle \(ABC=60^{\circ}\).
    Measure and write down the lengths of \(AD\) and the diagonal \(AC\).

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Answer:(i) \(AC\approx7.8\text{ cm}\). (ii) \(AC\approx7.7\text{ cm}\), \(AD\approx4.2\text{ cm}\) or \(9.7\text{ cm}\), subject to drawing tolerance.

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