Page 238 - Start Up Mathematics_8 (Non CCE)

Steps of Construction:
1. Draw a line SI (diagonal) = 8 cm.

S 8 cm I

2. Taking S as centre and radius = 4 cm, draw an arc S 8 cm I
above line SI.

P

3. Taking I as centre and radius 6 cm, draw another
arc intersecting the arc in step 2 at P.
S 8 cm I

P

4. Taking S as centre and radius = 5.5 cm, draw an arc
below line SI. S 8 cm I

5. Taking I as centre and radius = 5 cm, draw an arc
intersecting the arc in step 4 at K.
P

6. Join PS, PI, KS and KI.

P S 8 cm I
4 cm 6 cm

S I K
8 cm

5 cm
5.5 cm
K

Hence, SKIP is the required quadrilateral.
K
Example 2: Construct a parallelogram MONK in which MO = 5.5 cm,
ON = 4.5 cm and diagonal MN = 7 cm. 4.5 cm 5.5 cm
Solution: Construction: First draw a rough sketch of the figure to be N
constructed. M 7 cm
Note: Parallelogram is a quadrilateral in which both pairs of 5.5 cm 4.5 cm
opposite sides are equal. O
\ KN = MO = 5.5 cm and KM = ON = 4.5 cm

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