ICSE Board Practice

ICSE Grade VI - Triangles
Question 1
1.
In below given figure, find ∠JHL
  • 68.14°
  • 65.14°
  • 66.14°
  • 64.14°
  • 67.14°
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • FG = 13 cm , GH = 13 cm , HF = 13 cm
  • FG = 15 cm , GH = 13 cm , HF = 19.85 cm
  • FG = 10 cm , GH = 14 cm , HF = 13 cm
  • FG = 12 cm , GH = 15 cm , HF = 13 cm
  • FG = 10 cm , GH = 15 cm , HF = 10 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • BC = 12 cm , CD = 15 cm , DB = 12 cm
  • BC = 12 cm , CD = 12 cm , DB = 12 cm
  • BC = 15 cm , CD = 11 cm , DB = 13 cm
  • BC = 15 cm , CD = 10 cm , DB = 15 cm
  • BC = 10 cm , CD = 10 cm , DB = 14.14 cm
Question 4
4.
    • The name of the triangle is
  • △MNO
  • △LMN
  • △NOP
  • △MNP
  • △LMO
Question 5
5.
The ratio between the base angle and the vertical angle of an isosceles triangle is 13 : 10. Find each angle of the triangle
  • A
    =
    52°
    ,
    B
    =
    65°
    ,
    C
    =
    63°
  • A
    =
    50°
    ,
    B
    =
    65°
    ,
    C
    =
    65°
  • A
    =
    48°
    ,
    B
    =
    67°
    ,
    C
    =
    65°
  • A
    =
    48°
    ,
    B
    =
    65°
    ,
    C
    =
    67°
  • A
    =
    50°
    ,
    B
    =
    63°
    ,
    C
    =
    67°
Question 6
6.
Find the unknown marked angles in the following figure
  • x
    =
    85°
    ,
    y
    =
    108°
  • x
    =
    86°
    ,
    y
    =
    109°
  • x
    =
    83°
    ,
    y
    =
    106°
  • x
    =
    87°
    ,
    y
    =
    110°
  • x
    =
    84°
    ,
    y
    =
    107°
Question 7
7.
In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.
  • A
    =
    18°
    ,
    B
    =
    82°
    ,
    C
    =
    80°
  • A
    =
    20°
    ,
    B
    =
    78°
    ,
    C
    =
    82°
  • A
    =
    20°
    ,
    B
    =
    80°
    ,
    C
    =
    80°
  • A
    =
    18°
    ,
    B
    =
    80°
    ,
    C
    =
    82°
  • A
    =
    22°
    ,
    B
    =
    80°
    ,
    C
    =
    78°
Question 8
8.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle.
  • H
    =
    47°
    ,
    I
    =
    36°
    ,
    J
    =
    97°
  • H
    =
    43°
    ,
    I
    =
    38°
    ,
    J
    =
    99°
  • H
    =
    45°
    ,
    I
    =
    34°
    ,
    J
    =
    101°
  • H
    =
    45°
    ,
    I
    =
    36°
    ,
    J
    =
    99°
  • H
    =
    43°
    ,
    I
    =
    36°
    ,
    J
    =
    101°
Question 9
9.
Consider the following figure. State which of the following statements are true
a)
    • ∠O
    • ∠M
b)
    • ∠N
    • ∠O
c)
    • ∠N
    • =
    • ∠O
d)
    • ∠O
    • =
    • ∠M
e)
    • ∠M
    • =
    • ∠N
f)
    • ∠M
    • ∠N
  • {d,a,c}
  • {d,c}
  • {e,b,f}
  • {b,a}
  • {a,c,f}
Question 10
10.
Find the unknown marked angle in the following figure
  • x
    =
    52.04°
  • x
    =
    54.04°
  • x
    =
    55.04°
  • x
    =
    53.04°
  • x
    =
    56.04°