![]() Thus, ABCD is the required quadrilateral.Ĭan you construct a quadrilateral WXYZ with WY = 6 cm, WX = 2cm, XY = 3 cm, YZ = 6 cm, and WZ = 4.5 cm ? Justify your answer.įirst, we draw a rough sketch of the quadrilateral and indicate the given lengths as shown below. Then, draw another arc with C as the centre and 5 cm as the radius cutting the previous arc at D. Draw an arc on the opposite side of B by taking A as centre and 6 cm as the radius. Now, draw another arc with C as the centre and 3.5 cm as the radius cutting the previous arc at B. Then, draw an arc taking A as centre and 7.2 cm as the radius. The steps of construction are as follows. Ĭonstruct a quadrilateral ABCD with AC = 10 cm, AD = 6 cm, DC = 5 cm, AB = 7.2 cm, and BC = 3.5 cm.įirst, we draw a rough sketch of quadrilateral ABCD and indicate the given lengths as shown below. ![]() Let’s understand the steps from the following example. Steps of construction required to construct such a quadrilateral. ![]() Now, suppose we want to construct a quadrilateral whose one diagonal and four sides are given, then how will we construct it ? To construct a unique quadrilateral, at least five elements are necessary. If we want to construct a unique quadrilateral, then how many elements are required ? It has ten elements – four sides (AB, BC, CD, and DA), four angles (∠ABC, ∠BCD, ∠CDA, and ∠DAB), and two diagonals (AC and BD). Look at the following quadrilateral ABCD. CONSTRUCTION OF QUADRILATERALS WHEN ONE DIAGONAL AND FOUR SIDES ARE GIVEN Since three measurements were enough to draw a triangle, a natural question arises whether four measurements would be sufficient to draw a unique four sided closed figure, namely, a quadrilateral.Ĥ.2. We require three measurements (of sides and angles) to draw a unique triangle. You have learnt how to draw triangles in Class VII.
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