Symmetry (Exercise 17.3) RD Sharma Solutions | Mathematics (Maths) Class 6 PDF Download

 Page 1


Q u e s t i o n : 6
Complete the following table:
 
Shapes Rough Figure Number of lines of symmetry
i
Scalene triangle
0
ii
Isosceles triangle
1
iii
Equilateral triangle
  
iv
Rectangle
  
v
Square
  
vi
Parallelogram
  
vii
Rhombus
  
viii
Line
  
ix
Line segment
  
x
Angle
  
xi
Isosceles trepezium
  
xii
Kite
  
xiii
Arrow-head
  
xiv
Semi-circle
  
xv
Circle
  
xvi
Regular pentagon
  
xvii
Regular hexagon
  
 
S o l u t i o n :
 
Shapes Rough Figure
Number of lines of
symmetry
i
Scalene triangle
0
ii
Isosceles triangle
1
Page 2


Q u e s t i o n : 6
Complete the following table:
 
Shapes Rough Figure Number of lines of symmetry
i
Scalene triangle
0
ii
Isosceles triangle
1
iii
Equilateral triangle
  
iv
Rectangle
  
v
Square
  
vi
Parallelogram
  
vii
Rhombus
  
viii
Line
  
ix
Line segment
  
x
Angle
  
xi
Isosceles trepezium
  
xii
Kite
  
xiii
Arrow-head
  
xiv
Semi-circle
  
xv
Circle
  
xvi
Regular pentagon
  
xvii
Regular hexagon
  
 
S o l u t i o n :
 
Shapes Rough Figure
Number of lines of
symmetry
i
Scalene triangle
0
ii
Isosceles triangle
1
iii
Equilateral triangle
    
3
iv
Rectangle
2
v
Square
    
4
vi
Parallelogram
       
0
vii
Rhombus
    
2
viii
Line
 
Infinitely many
ix
Line segment
      
1
x
Angle
1
xi
Isosceles trapezium
        
1
Page 3


Q u e s t i o n : 6
Complete the following table:
 
Shapes Rough Figure Number of lines of symmetry
i
Scalene triangle
0
ii
Isosceles triangle
1
iii
Equilateral triangle
  
iv
Rectangle
  
v
Square
  
vi
Parallelogram
  
vii
Rhombus
  
viii
Line
  
ix
Line segment
  
x
Angle
  
xi
Isosceles trepezium
  
xii
Kite
  
xiii
Arrow-head
  
xiv
Semi-circle
  
xv
Circle
  
xvi
Regular pentagon
  
xvii
Regular hexagon
  
 
S o l u t i o n :
 
Shapes Rough Figure
Number of lines of
symmetry
i
Scalene triangle
0
ii
Isosceles triangle
1
iii
Equilateral triangle
    
3
iv
Rectangle
2
v
Square
    
4
vi
Parallelogram
       
0
vii
Rhombus
    
2
viii
Line
 
Infinitely many
ix
Line segment
      
1
x
Angle
1
xi
Isosceles trapezium
        
1
xii
Kite
1
xiii
Arrow-head
           
1
xiv
Semi-circle
         
1
xv
Circle
 
Infinitely many
xvi
Regular pentagon
5
xvii
Regular hexagon
           6
 
Page 4


Q u e s t i o n : 6
Complete the following table:
 
Shapes Rough Figure Number of lines of symmetry
i
Scalene triangle
0
ii
Isosceles triangle
1
iii
Equilateral triangle
  
iv
Rectangle
  
v
Square
  
vi
Parallelogram
  
vii
Rhombus
  
viii
Line
  
ix
Line segment
  
x
Angle
  
xi
Isosceles trepezium
  
xii
Kite
  
xiii
Arrow-head
  
xiv
Semi-circle
  
xv
Circle
  
xvi
Regular pentagon
  
xvii
Regular hexagon
  
 
S o l u t i o n :
 
Shapes Rough Figure
Number of lines of
symmetry
i
Scalene triangle
0
ii
Isosceles triangle
1
iii
Equilateral triangle
    
3
iv
Rectangle
2
v
Square
    
4
vi
Parallelogram
       
0
vii
Rhombus
    
2
viii
Line
 
Infinitely many
ix
Line segment
      
1
x
Angle
1
xi
Isosceles trapezium
        
1
xii
Kite
1
xiii
Arrow-head
           
1
xiv
Semi-circle
         
1
xv
Circle
 
Infinitely many
xvi
Regular pentagon
5
xvii
Regular hexagon
           6
 
Q u e s t i o n : 7
Consider the English alphabets A to Z. List among them the letters which have
i
vertical line of symmetry. likeA
ii
horizontal lines of symmetry. likeB
iii
vertical and horizontal lines of symmetry. likeI
iv
no line of symmetry. likeQ
S o l u t i o n :
i
                  
 
ii
                   
iii
Page 5


Q u e s t i o n : 6
Complete the following table:
 
Shapes Rough Figure Number of lines of symmetry
i
Scalene triangle
0
ii
Isosceles triangle
1
iii
Equilateral triangle
  
iv
Rectangle
  
v
Square
  
vi
Parallelogram
  
vii
Rhombus
  
viii
Line
  
ix
Line segment
  
x
Angle
  
xi
Isosceles trepezium
  
xii
Kite
  
xiii
Arrow-head
  
xiv
Semi-circle
  
xv
Circle
  
xvi
Regular pentagon
  
xvii
Regular hexagon
  
 
S o l u t i o n :
 
Shapes Rough Figure
Number of lines of
symmetry
i
Scalene triangle
0
ii
Isosceles triangle
1
iii
Equilateral triangle
    
3
iv
Rectangle
2
v
Square
    
4
vi
Parallelogram
       
0
vii
Rhombus
    
2
viii
Line
 
Infinitely many
ix
Line segment
      
1
x
Angle
1
xi
Isosceles trapezium
        
1
xii
Kite
1
xiii
Arrow-head
           
1
xiv
Semi-circle
         
1
xv
Circle
 
Infinitely many
xvi
Regular pentagon
5
xvii
Regular hexagon
           6
 
Q u e s t i o n : 7
Consider the English alphabets A to Z. List among them the letters which have
i
vertical line of symmetry. likeA
ii
horizontal lines of symmetry. likeB
iii
vertical and horizontal lines of symmetry. likeI
iv
no line of symmetry. likeQ
S o l u t i o n :
i
                  
 
ii
                   
iii
                           
iv
          
Q u e s t i o n : 8
Can you draw a triangle having:
i
exactly one line of symmetry.
ii
exactly two lines of symmetry.
iii
three lines of symmetry.
iv
no line of symmetry.
S o l u t i o n :
i
Yes; isosceles triangle
           
ii
No
iii
Yes; equilateral triangle
iv