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, △EOF ≅ △HOG by which property?
  • SAS Congruency
  • ASA Congruency
  • RHS Congruency
  • not congruent
  • SSS Congruency
Question 2
2.
In the given figure, calculate the value of x.
  • x
    =
    43.28°
  • x
    =
    41.28°
  • x
    =
    42.28°
  • x
    =
    44.28°
  • x
    =
    45.28°
Question 3
3.
In the given figure, △ABC ≅ △TSR. Which of the following are true?
a)
BC = SR
b)
∠C = ∠R
c)
∠A = ∠R
d)
BC = TS
e)
∠B = ∠S
  • {c,a,b}
  • {c,a}
  • {d,b}
  • {a,b,e}
  • {c,d,e}
Question 4
4.
In the given figure, △EFG , H is the mid-point of FG and EI ⟂ FG. Which of the following are true?
a)
    • EF
      2
    • =
    • EI
      2
    • −
    • FG
    • .
    • HI
    • +
    • 1
      4
    • FG
      2
b)
    • EG
      2
    • =
    • EI
      2
    • +
    • FG
    • .
    • HI
    • +
    • 1
      4
    • FG
      2
c)
    • EG
      2
    • =
    • EH
      2
    • +
    • FG
    • .
    • HI
    • +
    • 1
      4
    • FG
      2
d)
    • EF
      2
    • +
    • EG
      2
    • = 2
    • EH
      2
    • +
    • 1
      2
    • FG
      2
e)
    • EF
      2
    • =
    • EH
      2
    • −
    • FG
    • .
    • HI
    • +
    • 1
      4
    • FG
      2
  • {b,d}
  • {a,c}
  • {c,d,e}
  • {a,b,e}
  • {a,c,d}
Question 5
5.
With the given data in the figure, △SHI ≅ △RIH by which property?
  • SSS Congruency
  • SAS Congruency
  • not congruent
  • ASA Congruency
  • RHS Congruency
Question 6
6.
With the data in the figure, △BEC ≅ △CDB by which property?
  • SAS Congruency
  • RHS Congruency
  • not congruent
  • ASA Congruency
  • SSS Congruency
Question 7
7.
In a right-angled triangle if one of the acute angles is 38°, find the measure of the other acute angle.
  • 50°
  • 54°
  • 53°
  • 51°
  • 52°
Question 8
8.
In the given figure, △ABC is an acute angled triangle and AD ⟂ BC. Then
      • AC
        2
      • =
      • AB
        2
      • +
      • BC
        2
      • −
      • 2
      • AB
      • .
      • BC
      • AC
        2
      • =
      • AB
        2
      • +
      • BC
        2
      • −
      • 2
      • BC
      • .
      • BD
      • AC
        2
      • =
      • AB
        2
      • +
      • BC
        2
      • −
      • AD
        2
      • AC
        2
      • =
      • AB
        2
      • +
      • BC
        2
      • +
      • 2
      • AB
      • .
      • BC
      • AC
        2
      • =
      • AB
        2
      • +
      • BC
        2
      • +
      • 2
      • BC
      • .
      • BD
Question 9
9.
One angle of a triangle measures 25° and the other two angles are in the ratio 13 : 18. Find these angles.
  • B
    =
    64°
    ,
    C
    =
    89°
  • B
    =
    63°
    ,
    C
    =
    88°
  • B
    =
    65°
    ,
    C
    =
    90°
  • B
    =
    67°
    ,
    C
    =
    92°
  • B
    =
    66°
    ,
    C
    =
    91°
Question 10
10.
In the given figure, find the value of x.
  • x
    =
    24°
  • x
    =
    28°
  • x
    =
    26°
  • x
    =
    27°
  • x
    =
    25°