**Chapter
4 Practical Geometry**

**Exercise 4.1**

**Ex 4.1 Class 8 Maths
Question 1.
Construct the following quadrilaterals.
(i) Quadrilateral ABCD
AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm, AC = 7 cm
(ii) Quadrilateral JUMP
JU = 3.5 cm, UM = 4 cm, MP = 5 cm, PJ = 4.5 cm, PU = 6.5 cm
(iii) Parallelogram MORE
OR = 6 cm, RE = 4.5 cm, EO = 7.5 cm
(iv) Rhombus BEST
BE = 4.5 cm, ET = 6 cm**

Solution:

(i) We have to draw first rough sketch.

Construction:

Step I: Draw AB = 4.5 cm

Step II: Draw an arc with centre B and radius 5.5 cm.

Step III: Draw another arc with centre A and radius 7 cm to meet the previous
arc at C.

Step IV: Draw an arc with centre C and radius 4 cm.

Step V: Draw another arc with centre A and radius 6 cm to cut the former arc at
D.

Step VI: Join BC, AC, CD and AD.

(ii) We have to draw the first rough sketch.

Thus ABCD is the required quadrilateral.

Construction:

Step I: Draw JU = 3.5 cm.

Step II: Draw an arc with centre J and radius 4.5 cm.

Step III: Draw another arc with centre U and radius 6.5 cm to meet the previous
arc at P.

Step IV: Join JP and UP.

Step V: Draw an arc with centre U and radius 4 cm.

Step VI: Draw another arc with centre P and radius 5 cm to meet the previous
arc at M.

Step VII: Join UM and PM.

Thus, JUMP is the required quadrilateral.

(iii) We have to draw the first rough sketch.

Construction: (Opposite sides of a parallelogram are equal)

Step I: Draw OR = 6 cm.

Step II: Draw an arc with centre R and radius 4.5 cm.

Step III: Draw another arc with centre O and radius 7.5 cm to meet the previous
arc at E.

Step IV: Join RE and OE.

Step V: Draw an arc with centre E and radius 6 cm.

Step VI: Draw another arc with centre O and radius 4.5 cm to meet the former
arc at M.

Step VII: Join EM and OM.

Thus, MORE is the required parallelogram.

(iv) We have to draw first rough sketch.

Construction: (All sides of a rhombus are equal)

Step I: Draw BE = 4.5 cm

Step II: Draw an arc with centre B and radius 4.5 cm.

Step III: Draw another arc with centre E and radius 6 cm to meet the previous
arc at T.

Step IV: Join BT and ET.

Step V: Draw two arcs with centres E and T with equal radii 4-5 cm to meet each
other at S. .

Step VI: Join ES and TS.

Thus, BEST is the required rhombus.

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