Page 196 - ICSE Math 8

Steps of Construction:
1. Draw a line MO = 5.5 cm. K 5.5 cm N
2. Taking M as centre and radius = 7 cm, draw an arc above
line MO.
3. Taking O as centre and radius = 4.5 cm, draw another arc 4.5 cm 7 cm 4.5 cm
intersecting the arc in step 2 at N.
Join MN and ON.
4. Taking N as centre and radius = 5.5 cm, draw an arc (to the
left of ON). M 5.5 cm O
5. Taking M as centre and radius = 4.5 cm, draw another arc intersecting the arc in step 4 at K.
Join KM and KN.
Hence, MONK is the required parallelogram. 5.2 cm
E R
Example 9: Construct a rhombus PURE with side PU = 5.2 cm and diagonal
PR = 6.8 cm.
Solution: Construction: Draw a rough sketch of the figure to be constructed. 5.2 cm 6.8 cm 5.2 cm
Note: Rhombus is a quadri lateral with all sides equal so
PU = RU = RE = EP = 5.2 cm.
P 5.2 cm U
Steps of Construction: Rough sketch
E
1. Draw a line PR (diagonal) = 6.8 cm.

2. Taking P as centre and radius = 5.2 cm radius draw two arcs, 5.2 cm 5.2 cm
one above PR and the other below PR.

3. Taking R as centre and radius = 5.2 cm, draw two arcs intersecting P 6.8 cm R
the arcs in step 2 at E and U respectively. Join PE, ER, PU and
UR. 5.2 cm 5.2 cm

Hence, PURE is the required rhombus.
U
Example 10: Construct a trapezium ABCD in which AB = 6.5 cm, DC = 4.8 cm, BC = 4 cm and ∠ B = 60°.
given that AB || DC. Y
Solution: Steps of construction:
1. Draw AB = 6.5 cm. X D 4.8 cm C
2. Construct ∠ABY = 60°.
3. Locate C on BY at a distance 4 cm from B. 4 cm
4. Construct ∠YCX = 60°. This will make CX || AB.
5. On CX, locate a point D such that DC = 4.8 cm. A 6.5 cm B
5. Join AD. ABCD is the required trapezium.

EXERCISE 17.6

1. Construct a square DEBT in which DE = 3.5 cm.
2. Construct a square LAST in which diagonal AT = 5.8 cm.
3. Construct a rectangle DICE in which DI = 5.5 cm and IC = 4.5 cm.
4. Construct a rectangle CORD in which CO = 4.5 cm and diagonal CR = 6 cm.

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