NCERT Solutions Class 8 Mathematics
Chapter – 4 (Practical Geometry)
The NCERT Solutions in English Language for Class 8 Mathematics Chapter – 4 Practical Geometry Exercise 4.1 has been provided here to help the students in solving the questions from this exercise.
Chapter 4: Practical Geometry
- NCERT Solution Class 8 Maths Ex – 4.2
- NCERT Solution Class 8 Maths Ex – 4.3
- NCERT Solution Class 8 Maths Ex – 4.4
- NCERT Solution Class 8 Maths Ex – 4.5
Exercise – 4.1
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
Solution –
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) Quadrilateral JUMP
JU = 3.5 cm
UM = 4 cm
MP = 5 cm
PJ = 4.5 cm
PU = 6.5 cm
Solution –
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) Parallelogram MORE
OR = 6 cm
RE = 4.5 cm,
EO = 7.5 cm
Solution –
Construction :
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) Rhombus BEST
BE = 4.5 cm
ET = 6 cm
Solution –
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.
