NCERT Solutions
Class 8 Maths
Practical Geometry

Ex. 4.3 Q1.
Construct the following quadrilaterals:
(i) Quadrilateral MORE
MO = 6 cm, OR = 4.5 cm, ÐM = 600, ÐO = 1050, ÐR = 1050
(ii) Quadrilateral PLAN
PL = 4 cm, LA = 6.5 cm, Ð P = 900, Ð A = 1100, Ð N = 850
(iii) Parallelogram HEAR
HE = 5 cm, EA = 6 cm, Ð R = 850
(iv) Rectangle OKAY
OK = 7 cm, KA = 5 cm
(i) Given: MO = 6 cm, OR = 4.5 cm, Ð M = 600, Ð O = 1050, Ð R = 1050
To construct: A quadrilateral MORE.
Steps of construction:
(a) Draw a line segment MO = 6 cm.
(b) Construct ÐR = 1050 and taking radius 4.5 cm, draw an arc taking O as centre, which
intersects at R.
(c) Also construct an angle 1050 at R and produce the side RE.
(d) Construct another angle of 600 at point M and produce the side ME.
Both sides ME and RE intersect at E.
It is the required quadrilateral MORE.
(ii) Given: PL = 4 cm, LA = 6.5 cm, Ð P = 900, Ð A = 1100, Ð N = 850
To construct: A quadrilateral PLAN.
To find: Ð L = 3600 – (900 + 850 + 1100) = 3600 – 2850 = 750
Steps of construction:
(a) Draw a line segment PL = 4 cm.
(b) Construct angle of 900 at P and produce the side PN.
(c) Construct angle of 750 at L and with L as centre, draw an arc of radius 6 cm, which intersects at A.
(d) Construct Ð A = 1100 at A and produce the side AN which intersects PN at N. It is the required quadrilateral PLAN.
(iii) Given: HE = 5 cm, EA = 6 cm, Ð R = 850
To construct: A parallelogram HEAR.
To find: Ð H = 1800 – 850 = 950 [Sum of adjacent angle of parallelogram is 180]
Steps of construction:
(a) Draw a line segment HE = 5 cm.
(b) Construct Ð H = 950 and draw an arc of radius 6 cm with centre H. It intersects AR at R.
(c) Join RH.
(d) Draw Ð R = Ð E = 850 and draw an arc of radius 6 cm with E as a centre which intersects RA at A.
(e) Join RA.
It is the required parallelogram HEAR.
(iv) Given: OK = 7 cm, KA = 5 cm
To construct: A rectangle OKAY.
Steps of construction:
(a) Draw a line segment OK = 7 cm.
(b) Construct angle 900 at both points O and K and produce these sides.
(c) Draw two arcs of radius 5 cm from points O and K respectively. These arcs intersect at Y and A.
(d)Join YA.
It is the required rectangle OKAY.