ICSE Board Practice

ICSE Grade VI - Triangles
Question 1
1.
In the given figure , if IF ⟂ GH and ∠FGI = 53.94°, find ∠IFG
  • 38.06°
  • 36.06°
  • 37.06°
  • 35.06°
  • 34.06°
Question 2
2.
    • The sides of the triangle are
  •  


    KM
     
     
    ,
     


    MJ
     
     
    ,
     


    JK
     
     
  •  


    KL
     
     
    ,
     


    LJ
     
     
    ,
     


    JK
     
     
  •  


    JL
     
     
    ,
     


    LI
     
     
    ,
     


    IJ
     
     
  •  


    LM
     
     
    ,
     


    MK
     
     
    ,
     


    KL
     
     
  •  


    JK
     
     
    ,
     


    KI
     
     
    ,
     


    IJ
     
     
Question 3
3.
Find the unknown angle in the following figure
  • x
    =
    137°
  • x
    =
    136°
  • x
    =
    134°
  • x
    =
    133°
  • x
    =
    135°
Question 4
4.
The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of the triangle.
  • A
    =
    118°
    ,
    B
    =
    30°
    ,
    C
    =
    32°
  • A
    =
    120°
    ,
    B
    =
    28°
    ,
    C
    =
    32°
  • A
    =
    122°
    ,
    B
    =
    30°
    ,
    C
    =
    28°
  • A
    =
    120°
    ,
    B
    =
    30°
    ,
    C
    =
    30°
  • A
    =
    118°
    ,
    B
    =
    32°
    ,
    C
    =
    30°
Question 5
5.
In the given figure , if IF ⟂ GH and ∠FGI = 42.82°, find ∠HFI
  • 31.92°
  • 34.92°
  • 32.92°
  • 33.92°
  • 30.92°
Question 6
6.
Find the unknown marked angle in the following figure
  • x
    =
    62.75°
  • x
    =
    59.75°
  • x
    =
    63.75°
  • x
    =
    61.75°
  • x
    =
    60.75°
Question 7
7.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
  • 46°
  • 47°
  • 43°
  • 45°
  • 44°
Question 8
8.
In the given figure, if HF = HI = IG, find the value of x
  • x
    =
    26°
  • x
    =
    30°
  • x
    =
    29°
  • x
    =
    28°
  • x
    =
    27°
Question 9
9.
    • The exterior angles of the triangle are
  • ∠PQN , ∠QNO , ∠ROQ
  • ∠QRO , ∠ROP , ∠SPR
  • ∠QPN , ∠RNO , ∠SOP
  • ∠SRP , ∠TPQ , ∠UQR
  • ∠RQO , ∠SOP , ∠TPQ
Question 10
10.
Which of the following are measures of an isosceles right angled triangle ?
  • MN = 14 cm , NO = 14 cm , OM = 19.8 cm
  • MN = 12 cm , NO = 10 cm , OM = 11 cm
  • MN = 10 cm , NO = 10 cm , OM = 10 cm
  • MN = 14 cm , NO = 10 cm , OM = 13 cm
  • MN = 12 cm , NO = 18 cm , OM = 10 cm