Q1 of 805 Page 4

Construct the following quadrilaterals.

(i) quadrilateral LIFT


LI = 4 cm


IF = 3 cm


TL = 2.5 cm


LF = 4.5 cm


IT = 4 cm


(ii) Quadrilateral GOLD


OL = 7.5 cm


GL = 6 cm


GD = 6 cm


LD = 5 cm


OD = 10 cm


(iii) Rhombus BEND


BN = 5.6 cm


DE = 6.5 cm


(i) A rough sketch of the quadrilateral can be drawn to make the sum easier.



Step 1: First we will draw the base LT = 2.5 cm.



Step 2: Taking T and L as center we draw the arcs each measuring of 4 cm intersecting at point I. Join the points TI and IL.



Step 3: Now, taking L and I as center we draw the arcs measuring of 4.5 cm and 3 cm intersecting at point F. Join the points LF and FI.



(ii) Firstly we draw a rough sketch of the sum.



Step 1: Firstly we will draw the base for our diagram , OD = 10 cm.



Step 2: Taking G as a center we draw an arc of measuring 10 cm and take D as a center we draw an arc of length 5 cm such that both are intersecting at the point L.


Join the points GL and LD.



Step 3: Taking D as a center we draw an arc of measuring 6 cm and taking L as a center we draw an arc of length 7.5 cm such that both are intersecting at the point O.


Join the points DO and LO.



Step 4: Join OG.



(iii) Firstly, we draw a rough sketch of the sum.



Step 1: Draw a line segment BN of 5.6 cm.



Step 2: Draw a perpendicular bisector of BN.


[Since diagonal of a rhombus bisect perpendicularly. ]



Step 3: Taking O as the center, draw arcs measuring 3.25 cm such that they intersect the perpendicular bisector at point D and E.



Step 4: Joining the points BD, BE, EN and DN.



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