ICSE Board Practice

ICSE Grade VI - Parallel Lines
Question 1
1.
In the adjoining figure, side RS of parallelogram PQRS has been produced to T. If ∠QRT = 82.16° , find the measure of each angle of the parallelogram.
  • P
    =
    96.84°
    ,
    Q
    =
    80.16°
    ,
    R
    =
    98.84°
    ,
    S
    =
    84.16°
  • P
    =
    98.84°
    ,
    Q
    =
    81.16°
    ,
    R
    =
    99.84°
    ,
    S
    =
    80.16°
  • P
    =
    95.84°
    ,
    Q
    =
    84.16°
    ,
    R
    =
    96.84°
    ,
    S
    =
    83.16°
  • P
    =
    97.84°
    ,
    Q
    =
    82.16°
    ,
    R
    =
    97.84°
    ,
    S
    =
    82.16°
  • P
    =
    99.84°
    ,
    Q
    =
    81.16°
    ,
    R
    =
    95.84°
    ,
    S
    =
    83.16°
Question 2
2.
If l ∥ m, which of the given figures is correct?
  • II
  • III
  • I
  • IV
Question 3
3.
In the given figure l ∥ m. Find the value of 't'
  • 14
  • 15
  • 13
  • 17
  • 16
Question 4
4.
Which of the following are true for corresponding angles?
a)
They are not adjacent angles
b)
They are on either side of the transversal
c)
Both are interior angles
d)
They are adjacent angles
e)
They are on the same side of the transversal
f)
One is interior angle and the other is exterior angle
  • {d,b,f}
  • {a,e,f}
  • {b,a}
  • {c,e}
  • {c,a,e}
Question 5
5.
Find the corresponding angles in the given figure
  • ∠1 , ∠2 , ∠7 , ∠8
  • ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
  • ∠1 , ∠8 ; ∠2 , ∠7
  • ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
  • ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
Question 6
6.
Find the interior alternate angles in the given figure
  • ∠3 , ∠6 ; ∠4 , ∠5
  • ∠1 , ∠8 ; ∠2 , ∠7
  • ∠3 , ∠4 , ∠5 , ∠6
  • ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
  • ∠3 , ∠5 ; ∠4 , ∠6
Question 7
7.
In the given figure l ∥ m. Find the value of 'u'
  • 8
  • 10
  • 11
  • 13
  • 12
Question 8
8.
Which of the given figures is wrong?
  • IV
  • II
  • III
  • I
Question 9
9.
In the following figure HI ∥ KJ, find the values of x and y.
  • x
    =
    38°
    ,
    y
    =
    110°
  • x
    =
    35°
    ,
    y
    =
    107°
  • x
    =
    34°
    ,
    y
    =
    106°
  • x
    =
    37°
    ,
    y
    =
    109°
  • x
    =
    36°
    ,
    y
    =
    108°
Question 10
10.
Which of the following are true with respect to lines  q , r , s , t  where  q ∥ r , r ⟂ s , s ⟂ t?
a)
    • r
    • t
b)
    • q
    • t
c)
    • q
    • s
d)
    • q
    • t
e)
    • s
    • t
  • {c,d}
  • {e,b,a}
  • {b,a}
  • {c,d,a}
  • {a,d}