NCERT Solutions
Class 8 Maths
Practical Geometry

Ex. 4.4 Q1.
Construct the following quadrilaterals:
(i) Quadrilateral DEAR
DE = 4 cm, EA = 5 cm, AR = 4.5 cm, Ð E = 600, Ð A = 900
(ii) Quadrilateral TRUE
TR = 3.5 cm, RU = 3 cm, UE = 4 cm, Ð R = 750, Ð U = 1200
(i) Given: DE = 4 cm, EA = 5 cm, AR = 4.5 cm, Ð E = 600, Ð A = 900
To construct: A quadrilateral DEAR.
Steps of construction:
(a) Draw a line segment DE = 4 cm.
(b) At point E, construct an angle of 600.
(c) Taking radius 5 cm, draw an arc from point E which intersects at A.
(d) Construct Ð A = 900, 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, Ð R = 750, Ð U = 1200
To construct: A quadrilateral TRUE
Steps of construction:
(a) Draw a line segment TR = 3.5 cm.
(b) Construct an angle 750 at R and draw an arc of radius 3 cm with R as centre, which intersects at U.
(c) Construct an angle of 1200 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.