### Practical Geometry - Solutions 4

CBSE Class –VIII Mathematics

NCERT Solutions

CHAPTER - 4

Practical Geometry (Ex. 4.4)

NCERT Solutions

CHAPTER - 4

Practical Geometry (Ex. 4.4)

1. Construct the following quadrilaterals:

(i) Quadrilateral DEAR

DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = 60°, ∠A = 90°

(ii) Quadrilateral TRUE

TR = 3.5 cm, RU = 3 cm, UE = 4 cm, ∠R = 75°, ∠U = 120°

Ans: (i) Given: DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = 60°, ∠A = 90°

To construct: A quadrilateral DEAR

Steps of construction:

(a) Draw a line segment DE = 4 cm.

(b) At point E, construct an angle of 60°.

(c) Taking radius 5 cm, draw an arc from point E which intersects at A.

(d) Construct ∠A = 90°, draw an arc of radius 4.5 cm with centre A which intersect at R.

(e) Join RD.

(b) At point E, construct an angle of 60°.

(c) Taking radius 5 cm, draw an arc from point E which intersects at A.

(d) Construct ∠A = 90°, draw an arc of radius 4.5 cm with centre A which intersect at R.

(e) Join RD.

It is the required quadrilateral DEAR.

(ii) Given: TR = 3.5 cm, RU = 3 cm, UE = 4 cm, ∠R = 75°, ∠U = 120°

To construct: A quadrilateral TRUE

Steps of construction:

(a) Draw a line segment TR = 3.5 cm.

(b) Construct an angle 75° at R and draw an arc of radius 3 cm with R as centre, which intersects at U.

(c) Construct an angle of 120° at U and produce the side UE.

(d) Draw an arc of radius 4 cm with U as centre.

(e) Join UE and TE.

(b) Construct an angle 75° at R and draw an arc of radius 3 cm with R as centre, which intersects at U.

(c) Construct an angle of 120° at U and produce the side UE.

(d) Draw an arc of radius 4 cm with U as centre.

(e) Join UE and TE.

It is the required quadrilateral TRUE.