ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Triangles
Question 1
1.
    • In the given figure, ∠G = 56.64° and ∠H = 61.68°.
    • Side HI is produced to J, so that ∠HIG  and ∠GIJ form a linear pair.
    • If
    • ⟶
      IK
    • and
    • ⟶
      IL
    • are the bisectors of
    • ∠HIG
    • and
    • ∠GIJ
    • , find x and y.
  • x
    =
    31.84°
    ,
    y
    =
    60.16°
  • x
    =
    30.84°
    ,
    y
    =
    59.16°
  • x
    =
    32.84°
    ,
    y
    =
    61.16°
  • x
    =
    28.84°
    ,
    y
    =
    57.16°
  • x
    =
    29.84°
    ,
    y
    =
    58.16°
Question 2
2.
In below given figure, find ∠DAB
  • 70.17°
  • 66.17°
  • 69.17°
  • 68.17°
  • 67.17°
Question 3
3.
    • Find the unknown angles in the following figure
  • H
    =
    57°
    ,
    I
    =
    57°
  • H
    =
    58°
    ,
    I
    =
    58°
  • H
    =
    56°
    ,
    I
    =
    56°
  • H
    =
    59°
    ,
    I
    =
    59°
  • H
    =
    60°
    ,
    I
    =
    60°
Question 4
4.
In the given figure, which pair of triangles are not congruent ?
  • fig 4
  • fig 3
  • fig 2
  • fig 1
Question 5
5.
Which of the following are measures of an obtuse angled triangle ?
  • HI = 12 cm , IJ = 12 cm , JH = 16.97 cm
  • HI = 15 cm , IJ = 12 cm , JH = 10 cm
  • HI = 14 cm , IJ = 13 cm , JH = 19.1 cm
  • HI = 13 cm , IJ = 26 cm , JH = 15 cm
  • HI = 13 cm , IJ = 15 cm , JH = 13 cm
Question 6
6.
Which of the following are measures of an obtuse angled triangle ?
  • ∠O = 95.74° , ∠P = 33.56° , ∠Q = 50.7°
  • ∠O = 81.08° , ∠P = 49.46° , ∠Q = 49.46°
  • ∠O = 45° , ∠P = 90° , ∠Q = 45°
  • ∠O = 76.33° , ∠P = 55.3° , ∠Q = 48.37°
  • ∠O = 37.57° , ∠P = 90° , ∠Q = 52.43°
Question 7
7.
In the given figure, if FC = DF and CG = GE , find the value of x.
  • x
    =
    59.06°
  • x
    =
    58.06°
  • x
    =
    57.06°
  • x
    =
    61.06°
  • x
    =
    60.06°
Question 8
8.
With the data in the figure, △JKM ≅ △NLM by which property?
  • RHS Congruency
  • not congruent
  • ASA Congruency
  • SSS Congruency
  • SAS Congruency
Question 9
9.
Which of the following are measures of an acute angled triangle ?
  • ∠O = 105.64° , ∠P = 42.38° , ∠Q = 31.98°
  • ∠O = 43.28° , ∠P = 63.03° , ∠Q = 73.69°
  • ∠O = 49.4° , ∠P = 90° , ∠Q = 40.6°
  • ∠O = 110.72° , ∠P = 29.49° , ∠Q = 39.79°
  • ∠O = 45° , ∠P = 90° , ∠Q = 45°
Question 10
10.
With the data in the given figure, △NOQ ≅ △POQ by which property?
  • ASA Congruency
  • RHS Congruency
  • not congruent
  • SAS Congruency
  • SSS Congruency