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)
    pentagon
  • (iii)
    quadrilateral
  • (iv)
    decagon
  • (v)
    heptagon
Question 2
2.
    • The side opposite to the vertex
    • F
  • (i)
     


    HF
     
     
  • (ii)
     


    FG
     
     
  • (iii)
     


    IG
     
     
  • (iv)
     


    FJ
     
     
  • (v)
     


    GH
     
     
Question 3
3.
    • The side opposite to the vertex
    • L
  • (i)
     


    NL
     
     
  • (ii)
     


    LM
     
     
  • (iii)
     


    KO
     
     
  • (iv)
     


    KL
     
     
  • (v)
     


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


    PT
     
     
  • (ii)
     


    PQ
     
     
  • (iii)
     


    QR
     
     
  • (iv)
     


    SQ
     
     
  • (v)
     


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


      GH
       
       
  • (i)
    J
  • (ii)
     


    HI
     
     
  • (iii)
    F
  • (iv)
    G
Question 6
6.
    • The vertex opposite to the side
    •  


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


    TU
     
     
  • (iv)
    R
Question 7
7.
    • The vertex opposite to the side
    •  


      AB
       
       
  • (i)
    C
  • (ii)
     


    CD
     
     
  • (iii)
    A
  • (iv)
    B
Question 8
8.
    • The altitude corresponding to the side
    •  


      GH
       
       
  • (i)
     


    GJ
     
     
  • (ii)
     


    FG
     
     
  • (iii)
     


    HK
     
     
  • (iv)
     


    FI
     
     
  • (v)
     


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


      OM
       
       
  • (i)
     


    NQ
     
     
  • (ii)
     


    MN
     
     
  • (iii)
     


    MQ
     
     
  • (iv)
     


    MP
     
     
  • (v)
     


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


      NO
       
       
  • (i)
     


    NR
     
     
  • (ii)
     


    NQ
     
     
  • (iii)
     


    NO
     
     
  • (iv)
     


    PS
     
     
  • (v)
     


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


      LM
       
       
  • (i)
     


    KN
     
     
  • (ii)
     


    LO
     
     
  • (iii)
     


    MP
     
     
  • (iv)
     


    KL
     
     
  • (v)
     


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


      KI
       
       
  • (i)
     


    JM
     
     
  • (ii)
     


    IM
     
     
  • (iii)
     


    KN
     
     
  • (iv)
     


    IL
     
     
  • (v)
     


    IJ
     
     
Question 13
13.
    • The median corresponding to the side
    •  


      KL
       
       
  • (i)
     


    MP
     
     
  • (ii)
     


    KN
     
     
  • (iii)
     


    KO
     
     
  • (iv)
     


    LO
     
     
  • (v)
     


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


    EG
     
     
    ,
     


    GD
     
     
    ,
     


    DE
     
     
  • (ii)
     


    DF
     
     
    ,
     


    FC
     
     
    ,
     


    CD
     
     
  • (iii)
     


    EF
     
     
    ,
     


    FD
     
     
    ,
     


    DE
     
     
  • (iv)
     


    FG
     
     
    ,
     


    GE
     
     
    ,
     


    EF
     
     
  • (v)
     


    DE
     
     
    ,
     


    EC
     
     
    ,
     


    CD
     
     
Question 15
15.
    • The name of the triangle is
  • (i)
    △DEF
  • (ii)
    △FGH
  • (iii)
    △EFH
  • (iv)
    △EFG
  • (v)
    △DEG
Question 16
16.
    • The angles of the triangle are
  • (i)
    ∠Q , ∠R , ∠S
  • (ii)
    ∠P , ∠Q , ∠S
  • (iii)
    ∠P , ∠Q , ∠R
  • (iv)
    ∠O , ∠P , ∠R
  • (v)
    ∠O , ∠P , ∠Q
Question 17
17.
    • The vertices of the triangle are
  • (i)
    P , Q , R
  • (ii)
    R , S , T
  • (iii)
    P , Q , S
  • (iv)
    Q , R , T
  • (v)
    Q , R , S
Question 18
18.
    • The exterior angles of the triangle are
  • (i)
    ∠EFC , ∠FCD , ∠GDF
  • (ii)
    ∠GFD , ∠HDE , ∠IEF
  • (iii)
    ∠DEB , ∠EBC , ∠FCE
  • (iv)
    ∠EDB , ∠FBC , ∠GCD
  • (v)
    ∠FEC , ∠GCD , ∠HDE
Question 19
19.
    • The point of intersection of the altitudes of a triangle is called
  • (i)
    excentre
  • (ii)
    median
  • (iii)
    orthocentre
  • (iv)
    centroid
  • (v)
    incentre
Question 20
20.
    • The point of intersection of the perpendicular bisectors of the sides of a triangle is called
  • (i)
    circumcentre
  • (ii)
    median
  • (iii)
    centroid
  • (iv)
    altitude
  • (v)
    orthocentre
Question 21
21.
    • The point of intersection of the bisectors of the interior angles of a triangle is called
  • (i)
    orthocentre
  • (ii)
    incentre
  • (iii)
    centroid
  • (iv)
    altitude
  • (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)
    median
  • (ii)
    incentre
  • (iii)
    altitude
  • (iv)
    centroid
  • (v)
    circumcentre
Question 24
24.
    • The line joining each vertex to the mid-point of the opposite side of a triangle is called
  • (i)
    excentre
  • (ii)
    altitude
  • (iii)
    median
  • (iv)
    incentre
  • (v)
    centroid
Question 25
25.
    • The perpendicular drawn from each vertex to the opposite side of a triangle is called
  • (i)
    incentre
  • (ii)
    centroid
  • (iii)
    orthocentre
  • (iv)
    altitude
  • (v)
    excentre
Question 26
26.
Which of the following may lie outside or on the triangle?
a)
excentre
b)
orthocentre
c)
circumcentre
d)
centroid
e)
incentre
  • (i)
    {a,b,c}
  • (ii)
    {e,b}
  • (iii)
    {d,a}
  • (iv)
    {d,e,c}
  • (v)
    {d,a,b}
Question 27
27.
Sum of the interior angles in a triangle is
  • (i)
    180°
  • (ii)
    190°
  • (iii)
    195°
  • (iv)
    210°
  • (v)
    185°
Question 28
28.
How many diagonals does a triangle have?
  • (i)
    1
  • (ii)
    0
  • (iii)
    4
  • (iv)
    2
  • (v)
    3
Question 29
29.
Identify the points that are on the triangle
  • (i)
    {E,A}
  • (ii)
    {C,D}
  • (iii)
    {A,D}
  • (iv)
    {B,E}
  • (v)
    {C,F}
Question 30
30.
Identify the points that are inside the triangle
  • (i)
    {P,S}
  • (ii)
    {Q,T}
  • (iii)
    {U,T}
  • (iv)
    {R,U}
  • (v)
    {Q,P}
Question 31
31.
Identify the points that are outside the triangle
  • (i)
    {N,J}
  • (ii)
    {K,N}
  • (iii)
    {L,K}
  • (iv)
    {I,L}
  • (v)
    {J,M}
Question 32
32.
Consider the following figure. State which of the following statements are true
a)
    •  


      JK
       
       
    •  


      KL
       
       
b)
    •  


      JK
       
       
    • =
    •  


      KL
       
       
c)
    •  


      KL
       
       
    • =
    •  


      LJ
       
       
d)
    •  


      LJ
       
       
    •  


      JK
       
       
e)
    •  


      KL
       
       
    •  


      LJ
       
       
f)
    •  


      LJ
       
       
    • =
    •  


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


      CD
       
       
    • =
    •  


      DB
       
       
b)
    •  


      DB
       
       
    • =
    •  


      BC
       
       
c)
    •  


      BC
       
       
    •  


      CD
       
       
d)
    •  


      CD
       
       
    •  


      DB
       
       
e)
    •  


      BC
       
       
    • =
    •  


      CD
       
       
f)
    •  


      DB
       
       
    •  


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


      MK
       
       
    • =
    •  


      KL
       
       
b)
    •  


      MK
       
       
    •  


      KL
       
       
c)
    •  


      LM
       
       
    • =
    •  


      MK
       
       
d)
    •  


      LM
       
       
    •  


      MK
       
       
e)
    •  


      KL
       
       
    • =
    •  


      LM
       
       
f)
    •  


      KL
       
       
    •  


      LM
       
       
  • (i)
    {a,b}
  • (ii)
    {c,d}
  • (iii)
    {b,d,f}
  • (iv)
    {e,a,f}
  • (v)
    {c,b,d}
Question 35
35.
Consider the following figure. State which of the following statements are true
a)
    • ∠N
    • ∠O
b)
    • ∠O
    • ∠P
c)
    • ∠P
    • ∠N
d)
    • ∠P
    • =
    • ∠N
e)
    • ∠N
    • =
    • ∠O
f)
    • ∠O
    • =
    • ∠P
  • (i)
    {a,d}
  • (ii)
    {b,e}
  • (iii)
    {b,d,e}
  • (iv)
    {c,a,f}
  • (v)
    {d,e,f}
Question 36
36.
Consider the following figure. State which of the following statements are true
a)
    • ∠L
    • ∠M
b)
    • ∠M
    • =
    • ∠K
c)
    • ∠M
    • ∠K
d)
    • ∠L
    • =
    • ∠M
e)
    • ∠K
    • =
    • ∠L
f)
    • ∠K
    • ∠L
  • (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)
    • ∠D
    • =
    • ∠E
b)
    • ∠E
    • =
    • ∠C
c)
    • ∠D
    • ∠E
d)
    • ∠C
    • ∠D
e)
    • ∠C
    • =
    • ∠D
f)
    • ∠E
    • ∠C
  • (i)
    {a,c}
  • (ii)
    {c,d,f}
  • (iii)
    {b,d}
  • (iv)
    {e,a,f}
  • (v)
    {b,c,d}
    Assignment Key

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