**NCERT Solutions for Class 8 Maths Chapter 4
Practical Geometry Ex 4.1**

NCERT Solutions for Class
8 Maths Chapter 4
Practical Geometry Ex 4.1 are the part of NCERT Solutions for Class 8 Maths.
Here you can find the NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex
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)** Let us draw a rough sketch first.

**Steps of**

**Construction:**

Step 1: Draw a line segment AB = 4.5 cm.

Step 2: Draw an arc with centre B and radius 5.5 cm.

Step 3: Draw another arc with centre A and radius 7 cm to cut the previous arc at C.

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

Step 5: Draw another arc with centre A and radius 6 cm to cut the previous arc at D.

Step 6: Join BC, AC, CD and AD.

Thus, ABCD is the required quadrilateral.

**(ii)** Let us draw a rough sketch first.

**Steps of**

**Construction:**

Step 1: Draw a line segment JU = 3.5 cm.

Step 2: Draw an arc with centre J and radius 4.5 cm.

Step 3: Draw another arc with centre U and radius 6.5 cm to cut the previous arc at P.

Step 4: Join JP and UP.

Step 5: Draw an arc with centre U and radius 4 cm.

Step 6: Draw another arc with centre P and radius 5 cm to cut the previous arc at M.

Step 7: Join UM and PM.

Thus, JUMP is the required quadrilateral.

**(iii)** Let us draw a rough sketch first.

**Steps of**

**Construction:**We know that the opposite sides of a parallelogram are equal.

Step 1: Draw a line segment OR = 6 cm.

Step 2: Draw an arc with centre R and radius 4.5 cm.

Step 3: Draw another arc with centre O and radius 7.5 cm to cut the previous arc at E.

Step 4: Join RE and OE.

Step 5: Draw an arc with centre E and radius 6 cm.

Step 6: Draw another arc with centre O and radius 4.5 cm to cut the previous arc at M.

Step 7: Join EM and OM.

Thus, MORE is the required parallelogram.

**(iv)** Let us draw a rough sketch first.

**Steps of**

**Construction:**We know that all the sides of a rhombus are equal.

Step 1: Draw a line segment BE = 4.5 cm.

Step 2: Draw an arc with centre B and radius 4.5 cm.

Step 3: Draw another arc with centre E and radius 6 cm to cut the previous arc at T.

Step 4: Join BT and ET.

Step 5: Draw two arcs with centres E and T with equal radii 4.5 cm to cut each other at S. .

Step 6: Join ES and TS.

Thus, BEST is the required rhombus.

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