ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Triangles
Question 1
1.
With the data in the figure, △HKI ≅ △HKJ by which property?
  • RHS Congruency
  • SAS Congruency
  • SSS Congruency
  • not congruent
  • ASA Congruency
Question 2
2.
In the given figure, △DEF , G is the mid-point of EF and DH ⟂ EF. Which of the following are true?
a)
    • DE
      2
    • +
    • DF
      2
    • = 2
    • DG
      2
    • +
    • 1
      2
    • EF
      2
b)
    • DE
      2
    • =
    • DG
      2
    • −
    • EF
    • .
    • GH
    • +
    • 1
      4
    • EF
      2
c)
    • DF
      2
    • =
    • DG
      2
    • +
    • EF
    • .
    • GH
    • +
    • 1
      4
    • EF
      2
d)
    • DF
      2
    • =
    • DH
      2
    • +
    • EF
    • .
    • GH
    • +
    • 1
      4
    • EF
      2
e)
    • DE
      2
    • =
    • DH
      2
    • −
    • EF
    • .
    • GH
    • +
    • 1
      4
    • EF
      2
  • {d,a,b}
  • {e,b}
  • {d,e,c}
  • {a,b,c}
  • {d,a}
Question 3
3.
    • The median corresponding to the side
    •  

      GH
       
       
  •  

    GH
     
     
  •  

    GK
     
     
  •  

    GJ
     
     
  •  

    HK
     
     
  •  

    IL
     
     
Question 4
4.
With the given data in the figure, △SIJ ≅ △RJI by which property?
  • RHS Congruency
  • SSS Congruency
  • not congruent
  • SAS Congruency
  • ASA Congruency
Question 5
5.
With the data in the figure, △IJM ≅ △JIN by which property?
  • SSS Congruency
  • RHS Congruency
  • not congruent
  • SAS Congruency
  • ASA Congruency
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • LM = 12 cm , MN = 12 cm , NL = 16.97 cm
  • LM = 11 cm , MN = 19 cm , NL = 10 cm
  • LM = 15 cm , MN = 12 cm , NL = 19.21 cm
  • LM = 10 cm , MN = 13 cm , NL = 13 cm
  • LM = 11 cm , MN = 19 cm , NL = 11 cm
Question 7
7.
With the data in the figure, △IML ≅ △JMK by which property?
  • SSS Congruency
  • not congruent
  • ASA Congruency
  • RHS Congruency
  • SAS Congruency
Question 8
8.
In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.
  • x
    =
    62°
    ,
    y
    =
    45°
    ,
    z
    =
    73°
  • x
    =
    58°
    ,
    y
    =
    47°
    ,
    z
    =
    75°
  • x
    =
    60°
    ,
    y
    =
    45°
    ,
    z
    =
    75°
  • x
    =
    58°
    ,
    y
    =
    45°
    ,
    z
    =
    77°
  • x
    =
    60°
    ,
    y
    =
    43°
    ,
    z
    =
    77°
Question 9
9.
With the data in the figure, △FGI ≅ △GFH by which property?
  • not congruent
  • ASA Congruency
  • RHS Congruency
  • SSS Congruency
  • SAS Congruency
Question 10
10.
Find the unknown marked angles in the following figure
  • x
    =
    89°
    ,
    y
    =
    113°
  • x
    =
    87°
    ,
    y
    =
    111°
  • x
    =
    88°
    ,
    y
    =
    112°
  • x
    =
    86°
    ,
    y
    =
    110°
  • x
    =
    90°
    ,
    y
    =
    114°