Gujarat Board GSEB Textbook Solutions Class 8 Maths Chapter 4 Practical Geometry Ex 4.2 Textbook Questions and Answers.

## Gujarat Board Textbook Solutions Class 8 Maths Chapter 4 Practical Geometry Ex 4.2

Question 1.

Construct the following quadrilaterals.

(i) Quadrilateral

LIFT

LI = 4 cm

IF = 3 cm

TL = 2.5 cm

LF = 4.5 cm

IT = 4 cm

(ii) Quadrilateral

GOLD

GO = 7.5 cm

OL = 7.5 cm

GL = 6 cm

GD = 6 cm

LD = 5 cm

OD = 10 cm

(iii) Rhombus BEND

BN = 5.6 cm

DE = 6.5 cm

Solution:

(i) Steps of construction:

I. Draw a line segment LI = 4cm

II. With centre at I and radius = 4 cm, draw an arc.

III. With centre at L and radius = 2.5 cm, draw another arc to intersect the previous arc at T.

IV. Join TI and TL.

V. With centre / and radius = 3 cm, draw an arc on the side opposite to that of L.

VI. With centre at L and radius = 4.5 cm, draw another arc to intersect the previous arc at F.

VII. Join FL and FI.

Thus, LIFT is the required quadrilateral.

(ii) Steps of construction:

I. Draw a line segment LD = 5 cm.

II. With centre at L and radius = 6 cm, draw an arc.

III. With centre at D and radius = 6 cm, draw another arc to intersect the previous arc at G.

IV. Join GL and GD.

V. With centre at D and radius = 10 cm, draw an arc on the same side as that of G.

VI. With centre at L and radius = 7.5 cm, draw another arc to intersect the previous arc at O.

VII. Join OL and OD.

Thus, GOLD is the required quadrilateral.

(iii) Steps of construction:

I. Draw a line segment DE = 6.5 cm.

II. Draw perpendicular bisector PQ of DE such that M being the mid-point of DE.

III. With centre M and radius = \(\frac { 1 }{ 2 }\) x 5.6 cm = 2.8 cm,

draw arcs to intersect PQ at B and N.

IV. Join ND, NE, BE and BD.

Thus, BEND is the required rhombus.