ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VI - Parallel Lines
Question 1
1.
Which of the following are true?
a)
    • If
    •  
    • r
    • ∥
    • s
    •  
    • and
    •  
    • s
    • ∥
    • t
    •  
    • , then
    •  
    • r
    • ∥
    • t
b)
    • If
    •  
    • r
    • ⟂
    • s
    •  
    • and
    •  
    • s
    • ⟂
    • t
    •  
    • , then
    •  
    • r
    • ⟂
    • t
c)
    • If
    •  
    • r
    • ⟂
    • s
    •  
    • and
    •  
    • r
    • ⟂
    • t
    •  
    • , then
    •  
    • s
    • ⟂
    • t
d)
If two lines are parallel to the same line, then they are parallel to each other
e)
If two lines are parallel to the same line, then they are perpendicular to each other
  • {a,d}
  • {c,d,a}
  • {b,a}
  • {e,b,a}
  • {c,d}
Question 2
2.
Find the interior alternate angles in the given figure
  • ∠3 , ∠5 ; ∠4 , ∠6
  • ∠3 , ∠4 , ∠5 , ∠6
  • ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • ∠3 , ∠6 ; ∠4 , ∠5
  • ∠1 , ∠8 ; ∠2 , ∠7
Question 3
3.
In the given figure, DE ∥ FG and DF = FH. Find the values of x,y and z.
  • x
    =
    39°
    ,
    y
    =
    69°
    ,
    z
    =
    40°
  • x
    =
    35°
    ,
    y
    =
    69°
    ,
    z
    =
    44°
  • x
    =
    37°
    ,
    y
    =
    69°
    ,
    z
    =
    42°
  • x
    =
    35°
    ,
    y
    =
    71°
    ,
    z
    =
    42°
  • x
    =
    37°
    ,
    y
    =
    67°
    ,
    z
    =
    44°
Question 4
4.
In the given figurel ∥ m. Find the value of 's'
  • 75°
  • 60°
  • 55°
  • 50°
  • 45°
Question 5
5.
In the given figure, it is given that DC ∥ FE , ∠DFE = 60° and ∠DCB = 91°. Find the value of x.
  • x
    =
    28°
  • x
    =
    29°
  • x
    =
    31°
  • x
    =
    30°
  • x
    =
    27°
Question 6
6.
In the following figure IJ ∥ LK, find the values of x and y.
  • x
    =
    55°
    ,
    y
    =
    67°
  • x
    =
    56°
    ,
    y
    =
    68°
  • x
    =
    54°
    ,
    y
    =
    66°
  • x
    =
    58°
    ,
    y
    =
    70°
  • x
    =
    57°
    ,
    y
    =
    69°
Question 7
7.
Find the co-interior angles in the given figure
  • ∠3 , ∠4 , ∠5 , ∠6
  • ∠1 , ∠8 ; ∠2 , ∠7
  • ∠3 , ∠5 ; ∠4 , ∠6
  • ∠1 , ∠2 , ∠7 , ∠8
  • ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
Question 8
8.
Find the exterior alternate angles in the given figure
  • ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
  • ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • ∠1 , ∠8 ; ∠2 , ∠7
  • ∠3 , ∠4 , ∠5 , ∠6
  • ∠3 , ∠6 ; ∠4 , ∠5
Question 9
9.
Which of the following are true for corresponding angles?
a)
One is interior angle and the other is exterior angle
b)
Both are interior angles
c)
They are on either side of the transversal
d)
They are not adjacent angles
e)
They are on the same side of the transversal
f)
They are adjacent angles
  • {b,a}
  • {c,d}
  • {f,b,e}
  • {a,d,e}
  • {c,a,d}
Question 10
10.
Find the exterior angles in the given figure
  • ∠3 , ∠4 , ∠5 , ∠6
  • ∠1 , ∠2 , ∠7 , ∠8
  • ∠3 , ∠5 ; ∠4 , ∠6
  • ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
  • ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7