NCERT Solutions Class 8 Mathematics
Chapter – 4 (Practical Geometry)
The NCERT Solutions in English Language for Class 8 Mathematics Chapter – 4 Practical Geometry Exercise 4.5 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 – 4.1
- NCERT Solution Class 8 Maths Ex – 4.2
- NCERT Solution Class 8 Maths Ex – 4.3
- NCERT Solution Class 8 Maths Ex – 4.4
Exercise – 4.5
Draw the following:
1. The square READ with RE = 5.1 cm
Solution –
Construction :
Step I – Draw RE = 5.1 cm.
Step II – Draw an angle of 90° at E and cut EA = 5.1 cm.
Step III – Draw two arcs from A and R with radius 5.1 cm to cut each other at D.
Step IV – Join RD and AD.
Thus, READ is the required square.
2. A rhombus whose diagonals are 5.2 cm and 6.4 cm long.
Solution –
Construction :
Step I – Draw AC = 6.4 cm.
Step II – Draw the right bisector of AC at E.
Step III – Draw two arcs with centre E and radius = = 2.6 cm to cut the previous diagonal at B and D.
Step IV – Join AD, AB, BC and DC.
Thus ABCD is the required rhombus.
3. A rectangle with adjacent sides of length 5 cm and 4 cm.
Solution –
Construction : Let the two adjacent sides of a rectangle PQRS be PQ = 5 cm and QR = 4 cm.
Step I – Draw PQ = 5 cm.
Step II – Draw an angle of 90° at Q and cut QR = 4 cm.
Step III – Draw an arc with centre R and radius 5 cm.
Step IV – Draw another arc with centre P and radius 4 cm to meet the previous arc at S.
Step V – Join RS and PS.
Thus, PQRS is the required rectangle.
4. A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm.
Solution –
Construction :
Step I – Draw OK = 5.5 cm.
Step II – Draw an angle of any measure (say 60°) at K and cut KA = 4.2 cm .
Step III – Draw an arc with centre A and radius of 5.5 cm.
Step IV – Draw another arc with centre O and radius 4.2 cm to cut the previous arc at Y.
Step V – Join AY and OY.
Thus, OKAY is the required parallelogram.
No, it is not a unique parallelogram. The angle at K can be of measure other than 60°.
