Class 8 - Mathematics
Practical Geometry- Exercise 4.3
Top Block 1
Question: (i) Quadrilateral MORE
MO = 6 cm, OR = 4.5 cm,
∠M = 60° ∠O = 105°, ∠R = 105°
(ii) Quadrilateral PLAN
PL = 4 cm, LA = 6.5 cm,
∠P = 90° ∠A = 110° ∠N = 85°
(iii) Parallelogram HEAR
HE = 5 cm, EA = 6 cm, ∠R = 85°
(iv) Rectangle OKAY
OK = 7 cm, KA = 5 cm
Answer :
(i)
Given: MO = 6 cm, OR = 4.5 cm,
∠M = 60° ∠O = 105° ∠R = 105°
To construct: A quadrilateral MORE.
Steps of construction:
Mddle block 1
(a) Draw a line segment MO = 6 cm.
(b) Construct ∠R = 105° and taking radius 4.5 cm, draw an arc taking O as centre, which intersects at R.
(c) Also construct an angle 105° at R and produce the side RE.
(d) Construct another angle of 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,
∠P = 90° ∠A = 110° ∠N = 85°
To construct: A quadrilateral PLAN.
To find: ∠L = 360°- (90° + 85° + 110°)
= 360° – 285° = 75° Steps of construction:
(b) Construct ∠R = 105° and taking radius 4.5 cm, draw an arc taking O as centre, which intersects at R.
(c) Also construct an angle 105° at R and produce the side RE.
(d) Construct another angle of 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,
∠P = 90° ∠A = 110° ∠N = 85°
To construct: A quadrilateral PLAN.
To find: ∠L = 360°- (90° + 85° + 110°)
= 360° – 285° = 75° Steps of construction:
(a) Draw a line segment PL = 4 cm.
(b) Construct angle of 90° at P and produce the side PN.
(c) Construct angle of 75° at L and with L as centre, draw an arc of radius 6 cm, which intersects at A.
(b) Construct angle of 90° at P and produce the side PN.
(c) Construct angle of 75° at L and with L as centre, draw an arc of radius 6 cm, which intersects at A.