Q6 of 805 Page 18

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.

As three sides and two diagonals of quadrilateral is given.

Step 1-Using SSS construction condition first we will draw ΔACD. Draw line CA of length 5.6 cm.



Step 2- Then using compass take a length of 4.5 cm and draw an arc by taking A as centre. Do the same by taking C as centre and length of 5 cm.


Step 3-Now join the intersection point to A and C and label it as D.



Step 4- Now for vertex B, using compass take a length of 6.5 cm and draw an arc by taking D as centre. Do the same by taking C as centre and length of 4 cm.



Step 5-Join the intersection point to A and C and label it as B.



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Construct a quadrilateral ABCD given AD = 3.5 cm, BC = 2.5 cm, CD = 4.1 cm, AC = 7.3 cm and BD = 3.2 cm.

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Construct a quadrilateral ABCD given AD = 5 cm, AB = 5.5 cm, BC = 2.5 cm, AC = 7.1 cm and BD = 8 cm.

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i. Open curve


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iii. Simple closed curve


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