Q5 of 805 Page 18

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

As three sides and two diagonals of quadrilateral is given.

Step 1-Using SSS construction condition first we will draw ΔABD. Draw line BD of length 8 cm.



Step 2- Then using compass take a length of 5.5 cm and draw an arc by taking B as centre. Do the same by taking D as centre and length of 5 cm.


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



Step 4- Now for vertex D, using compass take a length of 7.1 cm and draw an arc by taking A as centre. Do the same by taking B as centre and length of 2.5 cm.



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



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Construct a quadrilateral ABCD when AB = 3 cm, CD = 3 cm, DA = 7.5 cm, AC = 8 cm and BD = 4 cm.

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

 1

Define the terms:

i. Open curve


ii. Closed curve


iii. Simple closed curve