Gujarat BoardĀ GSEB Textbook Solutions Class 8 Maths Chapter 4 Practical Geometry Ex 4.1 Textbook Questions and Answers.

## Gujarat Board Textbook Solutions Class 8 Maths Chapter 4 Practical Geometry Ex 4.1

Question 1.

Construct the following quadrilaterals.

(i) Quadrilateral

ABCD

AB = 4.5 cm

BC = 5.5 cm

CD = 4 cm

AD = 6 cm

AC = 7 cm

(ii) Quadrilateral

JUMP

JU = 3.5 cm

UM = 4 cm

MP = 5 cm

PJ = 4.5 cm

PU = 6.5 cm

(iii) Parallelogram

MORE

OR = 6 cm

BE = 4.5 cm

RE = 4.5 cm

ET = 6 cm

EO = 7.5 cm

(iv) Rhombus

BEST

BE = 4.5 cm

ET = 6 cm

Solution:

Note: Before making a fair construction for each of the above quadrilaterals, a rough sketch must be drawn and the given measurements be marked.

(i) Steps of construction:

I. Draw a line segment AB = 4.5 cm.

II. With centre at A and radius = 7 cm, draw an arc.

III. With centre at B and radius = 5.5 cm, draw another arc to intersect the previous arc at C.

IV. With centre at A and radius = 6 cm, draw an arc on the side opposite to that of B.

V. With centre at C and radius = 4 cm, draw another arc to intersect the previous arc at D.

VI. Join AC, BC, DA and DC. Thus, ABCD is the required quadrilateral

(ii) Steps of construction:

I. Draw a line segment JU = 3.5 cm.

II. With centre at U and radius UP = 6.5 cm, draw an arc.

III. With centre at J and radius = 4.5 cm, draw another arc to intersect the previous arc at P.

IV. With centre at U and radius = 4 cm, draw an arc on the side opposite to that of J.

V With centre at P and radius = 4 cm, draw another arc intersecting the previous arc at M.

VI. Join PJ, PU, PM and UM. Thus, JUMP is the required quadrilateral.

(iii) Step of construction:

I. Draw a line segment ER = 4.5 cm.

II. With centre at E and radius = 7.5 cm, draw an arc.

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

IV. With centre at R and radius = 6 cm, draw an arc on the side opposite to R.

V. With centre at O and radius = 4.5 cm, draw another arc to intersect the previous arc at M.

VI. Join RO, EM, EO and MO.

Thus, EROM or MORE is the required parallelogram.

(iv) Steps of construction:

I. Draw a line segment BE = 4.5 cm.

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

III. With centre at B and radius = 4.5 cm, draw another arc to intersect the previous arc at T.

IV. Join TB and TE.

V. With centre at T and radius = 4.5 cm, draw an arc on the side opposite to that of B.

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

VII. Join ST and SE

Thus, BEST is the required rhombus.

Note: All the 4 sides of a rhombus are equal.