Q1 of 34 Page 19

Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.4 cm, CD = 4.5 cm, AD = 5 cm and ∠B = 80°.

Steps of construction:


Step I: Draw AB = 3.8 cm.



Step II: Draw ∠ ABC = 80°.



Step III: With B as the center and radius 3.4 cm, cut off BC = 3.4 cm.



Step IV: With C as the center and radius 4.5 cm, draw an arc.


Step V: With A as the center and radius 5 cm, draw an arc to intersect the arc drawn in Step IV at D.



Step VI: Join AD, BC and CD to obtain the required quadrilateral.


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Construct a quadrilateral ABCD in which BC = 4 cm, CA = 5.6 cm, AD = 4.5 cm, CD = 5 cm and BD = 6.5 cm.

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Construct a quadrilateral ABCD given thatAB = 8 cm, BC = 8 cm, CD = 10 cm, AD = 10 cm and ∠A = 45°.

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Construct a quadrilateral ABCD in which AB = 7.7 cm, BC = 6.8 cm, CD = 5.1 cm, AS = 3.6 cm and ∠C = 120°.