NCERT Solutions Class 8 Mathematics
Chapter – 4 (Practical Geometry)
The NCERT Solutions in English Language for Class 8 Mathematics Chapter – 4 Practical Geometry Exercise 4.3 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 – 4.4
- NCERT Solution Class 8 Maths Ex – 4.5
Exercise – 4.3
1. Construct the following quadrilaterals.
(i) Quadrilateral MORE
MO = 6 cm
OR = 4.5 cm
∠M = 60°
∠O = 105°
∠R = 105°
Solution –
Construction :
Step I – Draw OR = 4.5 cm
Step II – Draw two angles of 105° each at O and R with the help of protactor.
Step III – Cut OM = 6 cm.
Step IV – Draw an angle of 60° at M to meet the angle line through R at E.
Thus, MORE is the required quadrilateral.
(ii) Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N = 85°
Solution –
Construction :
Step I – Draw LA = 6.5 cm
Step II – Draw an angle of 75° at L and 110° at A with the help of a protractor.
[∵ 360° – (110° + 90° + 85°) = 75°]
Step III – Cut LP = 4 cm.
Step IV – Draw an angle of 90° at P which meets the angle line through A at N.
Thus PLAN is the required quadrilateral.
(iii) Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°
Solution –
Construction : (Opposite sides of a parallelogram are equal)
Step I – Draw HE = 5 cm.
Step II – Draw an angle of 85° at E and cut EA = 6 cm.
Step III – Draw an arc with centre A and radius 5 cm.
Step IV – Draw another arc with centre H and radius 6 cm to meet the previous arc at R.
Step V – Join HR and AR
Thus, HEAR is the required parallelogram.
(iv) Rectangle OKAY
OK = 7 cm
KA = 5 cm
Solution –
Construction : (Each angle of a rectangle is 90° and opposite sides are equal.)
Step I – Draw OK = 7 cm.
Step II – Draw the angle of 90° at K and cut KA = 5 cm.
Step III – Draw an arc with centre O and radius 5 cm.
Step IV – Draw another arc with centre A and radius 7 cm to meet the previous arc at Y.
Step V – Join OY and AY.
Thus OKAY is the required rectangle.
