EduSahara™ Assignment
Name : Triangle Concepts
Chapter : Triangles
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
Identify the figure below
  • (i)
    triangle
  • (ii)
    angle
  • (iii)
    decagon
  • (iv)
    nonagon
  • (v)
    octagon
Question 2
2.
    • The side opposite to the vertex
    • D
  • (i)
     


    FD
     
     
  • (ii)
     


    GE
     
     
  • (iii)
     


    EF
     
     
  • (iv)
     


    DH
     
     
  • (v)
     


    DE
     
     
Question 3
3.
    • The side opposite to the vertex
    • Q
  • (i)
     


    PT
     
     
  • (ii)
     


    SQ
     
     
  • (iii)
     


    RP
     
     
  • (iv)
     


    QR
     
     
  • (v)
     


    PQ
     
     
Question 4
4.
    • The side opposite to the vertex
    • R
  • (i)
     


    PT
     
     
  • (ii)
     


    SQ
     
     
  • (iii)
     


    PQ
     
     
  • (iv)
     


    RP
     
     
  • (v)
     


    QR
     
     
Question 5
5.
    • The vertex opposite to the side
    •  


      OP
       
       
  • (i)
    N
  • (ii)
     


    PQ
     
     
  • (iii)
    R
  • (iv)
    O
Question 6
6.
    • The vertex opposite to the side
    •  


      TR
       
       
  • (i)
    S
  • (ii)
    R
  • (iii)
    V
  • (iv)
     


    TU
     
     
Question 7
7.
    • The vertex opposite to the side
    •  


      KL
       
       
  • (i)
     


    MN
     
     
  • (ii)
    L
  • (iii)
    K
  • (iv)
    M
Question 8
8.
    • The altitude corresponding to the side
    •  


      BC
       
       
  • (i)
     


    BE
     
     
  • (ii)
     


    AB
     
     
  • (iii)
     


    CF
     
     
  • (iv)
     


    AE
     
     
  • (v)
     


    AD
     
     
Question 9
9.
    • The altitude corresponding to the side
    •  


      RP
       
       
  • (i)
     


    PQ
     
     
  • (ii)
     


    QT
     
     
  • (iii)
     


    PT
     
     
  • (iv)
     


    PS
     
     
  • (v)
     


    RU
     
     
Question 10
10.
    • The altitude corresponding to the side
    •  


      CD
       
       
  • (i)
     


    EH
     
     
  • (ii)
     


    CD
     
     
  • (iii)
     


    CF
     
     
  • (iv)
     


    CG
     
     
  • (v)
     


    DG
     
     
Question 11
11.
    • The median corresponding to the side
    •  


      EF
       
       
  • (i)
     


    DE
     
     
  • (ii)
     


    DH
     
     
  • (iii)
     


    FI
     
     
  • (iv)
     


    DG
     
     
  • (v)
     


    EH
     
     
Question 12
12.
    • The median corresponding to the side
    •  


      PN
       
       
  • (i)
     


    NQ
     
     
  • (ii)
     


    NR
     
     
  • (iii)
     


    OR
     
     
  • (iv)
     


    PS
     
     
  • (v)
     


    NO
     
     
Question 13
13.
    • The median corresponding to the side
    •  


      NO
       
       
  • (i)
     


    NR
     
     
  • (ii)
     


    PS
     
     
  • (iii)
     


    NO
     
     
  • (iv)
     


    NQ
     
     
  • (v)
     


    OR
     
     
Question 14
14.
    • The sides of the triangle are
  • (i)
     


    IJ
     
     
    ,
     


    JH
     
     
    ,
     


    HI
     
     
  • (ii)
     


    GH
     
     
    ,
     


    HF
     
     
    ,
     


    FG
     
     
  • (iii)
     


    HJ
     
     
    ,
     


    JG
     
     
    ,
     


    GH
     
     
  • (iv)
     


    GI
     
     
    ,
     


    IF
     
     
    ,
     


    FG
     
     
  • (v)
     


    HI
     
     
    ,
     


    IG
     
     
    ,
     


    GH
     
     
Question 15
15.
    • The name of the triangle is
  • (i)
    △IJL
  • (ii)
    △JKM
  • (iii)
    △JKL
  • (iv)
    △KLM
  • (v)
    △IJK
Question 16
16.
    • The angles of the triangle are
  • (i)
    ∠G , ∠H , ∠J
  • (ii)
    ∠H , ∠I , ∠J
  • (iii)
    ∠F , ∠G , ∠H
  • (iv)
    ∠G , ∠H , ∠I
  • (v)
    ∠F , ∠G , ∠I
Question 17
17.
    • The vertices of the triangle are
  • (i)
    L , M , N
  • (ii)
    L , M , O
  • (iii)
    K , L , M
  • (iv)
    M , N , O
  • (v)
    K , L , N
Question 18
18.
    • The exterior angles of the triangle are
  • (i)
    ∠KLI , ∠LIJ , ∠MJL
  • (ii)
    ∠LKI , ∠MIJ , ∠NJK
  • (iii)
    ∠MLJ , ∠NJK , ∠OKL
  • (iv)
    ∠JKH , ∠KHI , ∠LIK
  • (v)
    ∠KJH , ∠LHI , ∠MIJ
Question 19
19.
    • The point of intersection of the altitudes of a triangle is called
  • (i)
    circumcentre
  • (ii)
    altitude
  • (iii)
    orthocentre
  • (iv)
    excentre
  • (v)
    centroid
Question 20
20.
    • The point of intersection of the perpendicular bisectors of the sides of a triangle is called
  • (i)
    circumcentre
  • (ii)
    incentre
  • (iii)
    orthocentre
  • (iv)
    excentre
  • (v)
    centroid
Question 21
21.
    • The point of intersection of the bisectors of the interior angles of a triangle is called
  • (i)
    centroid
  • (ii)
    incentre
  • (iii)
    orthocentre
  • (iv)
    excentre
  • (v)
    median
Question 22
22.
    • The point of intersection of the bisectors of the interior angle and the two exterior opposite angles of a triangle is called
  • (i)
    incentre
  • (ii)
    altitude
  • (iii)
    excentre
  • (iv)
    median
  • (v)
    orthocentre
Question 23
23.
    • The point of intersection of the medians of a triangle is called
  • (i)
    orthocentre
  • (ii)
    centroid
  • (iii)
    incentre
  • (iv)
    altitude
  • (v)
    excentre
Question 24
24.
    • The line joining each vertex to the mid-point of the opposite side of a triangle is called
  • (i)
    median
  • (ii)
    centroid
  • (iii)
    altitude
  • (iv)
    circumcentre
  • (v)
    excentre
Question 25
25.
    • The perpendicular drawn from each vertex to the opposite side of a triangle is called
  • (i)
    centroid
  • (ii)
    orthocentre
  • (iii)
    excentre
  • (iv)
    altitude
  • (v)
    circumcentre
Question 26
26.
Which of the following may lie outside or on the triangle?
a)
circumcentre
b)
incentre
c)
orthocentre
d)
centroid
e)
excentre
  • (i)
    {b,a}
  • (ii)
    {a,c,e}
  • (iii)
    {d,c}
  • (iv)
    {b,d,e}
  • (v)
    {b,a,c}
Question 27
27.
Sum of the interior angles in a triangle is
  • (i)
    190°
  • (ii)
    210°
  • (iii)
    195°
  • (iv)
    185°
  • (v)
    180°
Question 28
28.
How many diagonals does a triangle have?
  • (i)
    3
  • (ii)
    2
  • (iii)
    1
  • (iv)
    4
  • (v)
    0
Question 29
29.
Identify the points that are on the triangle
  • (i)
    {E,H,K}
  • (ii)
    {C,F,I}
  • (iii)
    {F,I,K}
  • (iv)
    {D,I,C}
  • (v)
    {D,G,J}
Question 30
30.
Identify the points that are inside the triangle
  • (i)
    {N,Q}
  • (ii)
    {M,N}
  • (iii)
    {O,R}
  • (iv)
    {M,P}
  • (v)
    {R,Q}
Question 31
31.
Identify the points that are outside the triangle
  • (i)
    {L,O,R}
  • (ii)
    {M,L,P}
  • (iii)
    {Q,S,M}
  • (iv)
    {K,N,Q}
  • (v)
    {M,P,S}
Question 32
32.
Consider the following figure. State which of the following statements are true
a)
    •  


      LM
       
       
    •  


      MN
       
       
b)
    •  


      NL
       
       
    • =
    •  


      LM
       
       
c)
    •  


      MN
       
       
    •  


      NL
       
       
d)
    •  


      NL
       
       
    •  


      LM
       
       
e)
    •  


      LM
       
       
    • =
    •  


      MN
       
       
f)
    •  


      MN
       
       
    • =
    •  


      NL
       
       
  • (i)
    {b,e,f}
  • (ii)
    {c,b,e}
  • (iii)
    {c,e}
  • (iv)
    {d,a,f}
  • (v)
    {a,b}
Question 33
33.
Consider the following figure. State which of the following statements are true
a)
    •  


      KI
       
       
    • =
    •  


      IJ
       
       
b)
    •  


      JK
       
       
    • =
    •  


      KI
       
       
c)
    •  


      JK
       
       
    •  


      KI
       
       
d)
    •  


      IJ
       
       
    • =
    •  


      JK
       
       
e)
    •  


      KI
       
       
    •  


      IJ
       
       
f)
    •  


      IJ
       
       
    •  


      JK
       
       
  • (i)
    {d,c}
  • (ii)
    {a,c,f}
  • (iii)
    {d,a,c}
  • (iv)
    {e,b,f}
  • (v)
    {b,a}
Question 34
34.
Consider the following figure. State which of the following statements are true
a)
    •  


      MN
       
       
    • =
    •  


      NO
       
       
b)
    •  


      NO
       
       
    •  


      OM
       
       
c)
    •  


      MN
       
       
    •  


      NO
       
       
d)
    •  


      OM
       
       
    • =
    •  


      MN
       
       
e)
    •  


      NO
       
       
    • =
    •  


      OM
       
       
f)
    •  


      OM
       
       
    •  


      MN
       
       
  • (i)
    {a,b}
  • (ii)
    {e,a,f}
  • (iii)
    {b,c,f}
  • (iv)
    {d,b,c}
  • (v)
    {d,c}
Question 35
35.
Consider the following figure. State which of the following statements are true
a)
    • ∠M
    • ∠K
b)
    • ∠L
    • ∠M
c)
    • ∠M
    • =
    • ∠K
d)
    • ∠L
    • =
    • ∠M
e)
    • ∠K
    • =
    • ∠L
f)
    • ∠K
    • ∠L
  • (i)
    {b,c,d}
  • (ii)
    {f,a,e}
  • (iii)
    {c,d,e}
  • (iv)
    {a,c}
  • (v)
    {b,d}
Question 36
36.
Consider the following figure. State which of the following statements are true
a)
    • ∠H
    • =
    • ∠I
b)
    • ∠I
    • ∠J
c)
    • ∠H
    • ∠I
d)
    • ∠I
    • =
    • ∠J
e)
    • ∠J
    • =
    • ∠H
f)
    • ∠J
    • ∠H
  • (i)
    {b,d}
  • (ii)
    {b,c,d}
  • (iii)
    {c,d,f}
  • (iv)
    {a,c}
  • (v)
    {e,a,f}
Question 37
37.
Consider the following figure. State which of the following statements are true
a)
    • ∠K
    • ∠I
b)
    • ∠K
    • =
    • ∠I
c)
    • ∠I
    • =
    • ∠J
d)
    • ∠I
    • ∠J
e)
    • ∠J
    • ∠K
f)
    • ∠J
    • =
    • ∠K
  • (i)
    {a,d,e}
  • (ii)
    {c,a,d}
  • (iii)
    {b,a}
  • (iv)
    {c,d}
  • (v)
    {f,b,e}
    Assignment Key

  •  1) (i)
  •  2) (iii)
  •  3) (iii)
  •  4) (iii)
  •  5) (i)
  •  6) (i)
  •  7) (iv)
  •  8) (v)
  •  9) (ii)
  •  10) (i)
  •  11) (iv)
  •  12) (iii)
  •  13) (ii)
  •  14) (ii)
  •  15) (v)
  •  16) (iii)
  •  17) (iii)
  •  18) (v)
  •  19) (iii)
  •  20) (i)
  •  21) (ii)
  •  22) (iii)
  •  23) (ii)
  •  24) (i)
  •  25) (iv)
  •  26) (ii)
  •  27) (v)
  •  28) (v)
  •  29) (ii)
  •  30) (i)
  •  31) (v)
  •  32) (i)
  •  33) (ii)
  •  34) (iii)
  •  35) (iii)
  •  36) (iii)
  •  37) (i)