MATHS

PRACTICAL GEOMETRY

Exersice

1. Construct a quadrilateral PQRS where PQ = 4

cm, QR = 6 cm,RS = 5 cm,PS = 5.5 cm and PR = 7

cm.

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2. Construct a quadrilateral ABCD in which AB

= AC = 3.9 cm,BC = 4.1 cm,CD = 4.5 cm and AD =

3.5 cm.

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3. Construct a quadrilateral ABCD in which AB

= AC = 3.9 cm,BC = 4.1 cm,CD = 4.5 cm and AD =

3.5 cm.

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4. Construct a quadrilateral PQRS in which

PQ=QR=5 cm,RS = 3.8 cm,SP=4.5 cm and a

diagonal PR = 5.8 cm.

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5. Construct the following quadrilaterals :

Parallelogram MORE

OR = 6 cm.

RE = 4.5 cm

EO = 7.5 cm.

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6. Construct a rhombus whose one side is 4.8

cm and a diagonal is 5.6 cm.

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7. Construct the following quadrilaterals :

Quadrilateral ABCD, in which

AB = 4.8 cm.

BC = 4.5 cm

AD = 5.0 cm

AC = 6 cm.

BD = 5.5 cm.

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8. Quadrilateral PQRS,in which

PQ = 3.8 cm

QR = 5.2 cm

SP= 5.0 cm

PR = 6.2 cm

QS = 5.7 cm.

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9. Find the Area and Perimeter of Rectangle

having length and breadth be 5cm and 2cm

respectively

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10. Construct a Rhombus MIND, in which

MN= 8 cm,

ID = 8 cm.

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11. Find the Curved surface Area of Cylinder

having radius equal to 7cm and height 10cm.

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12. Quadrilateral MIST where

MI = 3.5 cm,IS = 6.5 cm

and .

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∠M = 75∘ , ∠I = 105∘

∠S = 120∘

13. Quadrilateral PQRS in which

PQ = 4.5 cm

,QR = 3.8 cm,angleQRS = 100 ^

@ , angleQPS = 60 ^ @`

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∠PQR = 120∘

14. Find the Volume of a Cylinder having radius

equal to 14cm and height 25cm.

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15. Find the Volume of Sphere having radius

equal to 7cm.

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16. Find the Area and Perimeter of Rectangle

having length and breadth be 3cm and 2cm

respectively

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17. Construct the following quadrilaterals.

Rectangle OKAY OK = 7 cm KA = 5 cm

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18. Quadrilateral ABCD ,in which

AB = 4 cm,BC = 5 cm,CD = 6.5 cm,

.

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∠B = 105∘ , ∠C = 80∘

19. Construct a quadrilateral ABCD, in which

AB=3.6 cm, ,BC = 4 cm,

,AD = 5 cm.

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∠ABC = 80∘

∠BAD = 120∘

20. Construct a quadrilateral PQRS, in which

PQ=QR= 5 cm,RS= 6 cm,

.

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∠Q = 80∘ , ∠R = 100∘

21. Find the side of the square having Area

equal to

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49cm2

22. Construct the following.

Construct a rectangle whose adjacent sides

are 4 cm and 2.5 cm.

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23. Construct a square, each of whose sides

measures 6.4 cm

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24. Draw a square of side 4.5 cm.

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25. construct a rhombus ABCD where AC = 6

cm and BD = 7 cm

Example

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1. Construct the following quadrilaterals :

Quadrilateral ABCD

AB = 4.5 cm.

BC = 5.5 cm

CD = 4 cm

AD = 6 cm

AC = 7 cm.

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2. Construct the following quadrilaterals :

Quadrilateral JUMP

JU = 3.5 cm

UM = 4 cm

MP = 5 cm.

PJ = 4.5 cm

PU = 6.5 cm.

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3. Construct the following quadrilaterals :

Parallelogram MORE

OR = 6 cm.

RE = 4.5 cm

EO = 7.5 cm.

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4. Construct the following quadrilaterals :

Rhombus BEST

BE = 4.5 cm

ET = 6 cm.

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5. Construct the following quadrilaterals :

Qadrilateral LIFT

LI = 4 cm

IF = 3 cm

TL = 2.5 cm

LF = 4.5 cm

IT = 4 cm.

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6. Quadrilateral GOLD

OL = 7.5 cm

GL = 6 cm.

GD = 6 cm

LD = 5 cm

OD = 10 cm.

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7. Construct the following quadilateral :

Rhombus BEND.

BN = 5.6 cm

DE = 6.5 cm.

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8. Quadrilateral PLAN

, ,

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PL = 4cm LA = 6.5cm

∠P = 90∘ , ∠A = 110∘ , ∠N = 85∘ .

9. Find the Total surface Area and volume of

Cylinder having radius equal to 7cm and

height equal to 7.

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10. Is rhombus a Parallelogram?? If yes then ,

are all Parallelogram Rhombus??

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11. Construct the following quadrilaterals.

Rectangle OKAY OK = 7 cm KA = 5 cm

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12. Quadrilateral DEAR

DE = 4 cm,EA = 5 cm,AR=4.5 cm ,

.

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∠E = 60∘ , ∠A = 90∘

13. Quadrilateral TRUE

TR = 3.5 cm,RU = 3 cm,UE = 4 cm,

.

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∠R = 75∘ , ∠U = 120∘

14. Draw the following : The square READ with

RE = 5.1 cm.

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15. Construct a rhombus whose diagonals are

5.2 cm and 6.4 cm along.

.

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16. A rectangle with adjacent sides of lengths 5

cm and 4 cm.

.

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17. A parallelogram OKAY where OK = 5.5 cm

and KA = 4.2 cm

.

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18. How may measurements are required for

the construction of a unique triangle ?

A. Two

B. Three

C. Four

D. Five.

Answer:

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19. How many measurements are required for

the construction of a unique quadrilateral ?

A. Two

B. Three

C. Four

D. Five.

Answer:

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20. Out of the following which quadrilateral

require only one measurement for its

construction:

A. Square

B. Rectangle

C. Rhombus

D. Trapezium

Answer:

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21. Which quadrilateral,out of the following

require only two measurements for its

construction.

A. Rectangle

B. Parallelogram

C. Rhombus

D. Trapezium

Answer:

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22. How many measurements are required to

construct a rectangle?

A. Two

B. Three

C. Four

D. Five.

Answer:

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