4. Practical Geometry

Exercise 4.1

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                  

Solution:   Step of construction:

(ii) Quadrilateral JUMP
   JU = 3.5 cm
  UM = 4 cm
  MP = 5 cm

   PJ = 4.5 cm
  PU = 6.5 cm

Solution: Step of construction:

(iii) Parallelogram MORE       
OR = 6 cm                                         
RE = 4.5 cm                                        
EO = 7.5 cm

Solution: Step of construction:

(iv) Rhombus BEST

BE = 4.5 cm

ET = 6 cm

Solution: Step of construction:

Exercise 4.2

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           

Solution:  Step of construction :

                     

(ii) Quadrilateral GOLD
OL = 7.5 cm
GL = 6 cm
GD = 6 cm
LD = 5 cm
OD = 10 cm

Solution: Step of construction:

(iii) Rhombus BEND
BN = 5.6 cm
DE = 6.5 cm

Solution:  Step of construction:

Exercise 4.3

1. Construct the following quadrilaterals.

(i) Quadrilateral MORE   
  MO = 6 cm 

  OR = 4.5 cm                            

                                  

Solution: Step of construction:

(ii) Quadrilateral PLAN

 PL = 4 cm

 LA = 6.5 cm
 

 

  

Solution: Step of construction:

(iii) Parallelogram HEAR       
HE = 5 cm                                  

EA = 6 cm                               

Solution: Step of construction:

(iv) Rectangle OKAY

OK = 7 cm
KA = 5 cm
Solution: Step of construction:

Exercise 4.4

1. Construct the following quadrilaterals.
(i) Quadrilateral DEAR       
          DE = 4 cm                                
          EA = 5 cm                       
          AR = 4.5 cm                     
        

        

Solution: Step of construction: 

               

(ii)  Quadrilateral TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

Solution: Step of construction: 

Exercise 4.5

Draw the following.
1. The square READ with RE = 5.1 cm.
2. A rhombus whose diagonals are 5.2 cm and 6.4 cm long.
3. A rectangle with adjacent sides of lengths 5 cm and 4 cm.
4. A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm. Is it unique?
Solution: 1. The square READ with RE = 5.1 cm.

Solution:   2. A rhombus whose diagonals are 5.2 cm and 6.4 cm long.

Solution:  3. A rectangle with adjacent sides of lengths 5 cm and 4 cm.

Solution:  4. A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm.

It is not unique . [because, given only two sides .]