ICSE Board Practice

ICSE Grade VI - Parallel Lines
Question 1
1.
    • In the adjoining figure,
    • HIJK
    • is a parallelogram and
    • LM
    • is such that
    •  


      LM
       
       
       


      HJ
       
       
    • If
    • ∠HKL = 31.67°
    • and
    • ∠JKM = 36.06°
    • ,
    • find the measure of
    • ∠JKH
    • .
  • 113.28°
  • 114.28°
  • 110.28°
  • 111.28°
  • 112.28°
Question 2
2.
In the following figure BC ∥ ED, find the values of x and y.
  • x
    =
    62°
    ,
    y
    =
    62°
  • x
    =
    61°
    ,
    y
    =
    61°
  • x
    =
    59°
    ,
    y
    =
    59°
  • x
    =
    60°
    ,
    y
    =
    60°
  • x
    =
    58°
    ,
    y
    =
    58°
Question 3
3.
Find the vertically opposite angles in the given figure
  • ∠1 , ∠8 ; ∠2 , ∠7
  • ∠1 , ∠2 , ∠7 , ∠8
  • ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠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 4
4.
If l ∥ m, which of the given figures is correct?
  • IV
  • I
  • III
  • II
Question 5
5.
In the given figure, PQ ∥ RS, ∠HEQ = 57° and EF = GE. Find the measure of x.
  • x
    =
    68°
  • x
    =
    64°
  • x
    =
    66°
  • x
    =
    67°
  • x
    =
    65°
Question 6
6.
In which of the figures given bellow, l ∥ m?
  • III
  • II
  • I
  • IV
Question 7
7.
In the adjoining figure, side JG of parallelogram GHIJ has been produced to K. If ∠HGK = 138.6° , find the measure of each angle of the parallelogram.
  • G
    =
    40.4°
    ,
    H
    =
    136.6°
    ,
    I
    =
    42.4°
    ,
    J
    =
    140.6°
  • G
    =
    39.4°
    ,
    H
    =
    140.6°
    ,
    I
    =
    40.4°
    ,
    J
    =
    139.6°
  • G
    =
    42.4°
    ,
    H
    =
    137.6°
    ,
    I
    =
    43.4°
    ,
    J
    =
    136.6°
  • G
    =
    43.4°
    ,
    H
    =
    137.6°
    ,
    I
    =
    39.4°
    ,
    J
    =
    139.6°
  • G
    =
    41.4°
    ,
    H
    =
    138.6°
    ,
    I
    =
    41.4°
    ,
    J
    =
    138.6°
Question 8
8.
In the given figure l ∥ m. Find the value of 'q'
  • 12
  • 13
  • 11
  • 14
  • 16
Question 9
9.
Find the interior alternate angles in the given figure
  • ∠1 , ∠2 , ∠7 , ∠8
  • ∠3 , ∠4 , ∠5 , ∠6
  • ∠1 , ∠8 ; ∠2 , ∠7
  • ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
  • ∠3 , ∠6 ; ∠4 , ∠5
Question 10
10.
Find the corresponding angles in the given figure
  • ∠1 , ∠2 , ∠7 , ∠8
  • ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
  • ∠3 , ∠6 ; ∠4 , ∠5
  • ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
  • ∠3 , ∠4 , ∠5 , ∠6