EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
With the data in the figure, △LOM ≅ △NOM by which property?
  • (i)
    SSS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    not congruent
  • (iv)
    ASA Congruency
  • (v)
    RHS Congruency
Question 2
2.
With the data in the given figure, △DOE ≅ △DOF by which property?
  • (i)
    SSS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    not congruent
  • (v)
    RHS Congruency
Question 3
3.
    • In parallelogram
    • OPQR
    • ,
    • diagonals
    •  


      PR
       
       
    • and
    •  


      OQ
       
       
    • intersect at
    • S
    • . Then
    • △ROP
       
      ≅
  • (i)
    △OPQ
  • (ii)
    △QRO
  • (iii)
    △PQR
  • (iv)
    △QRS
  • (v)
    △OPS
Question 4
4.
    • In kite
    • ABCD
    • ,
    •  


      AC
       
       
    • and
    •  


      BD
       
       
    • are diagonals. Then
    • △CBA
    • ≅
  • (i)
    △DBA
  • (ii)
    △ECB
  • (iii)
    △EDA
  • (iv)
    △DBC
  • (v)
    △CDA
Question 5
5.
With the data in the given figure, △CED ≅ △DFC by which property?
  • (i)
    SAS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    not congruent
  • (iv)
    ASA Congruency
  • (v)
    SSS Congruency
Question 6
6.
With the data in the given figure, △LMO ≅ △NMO by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    not congruent
  • (iv)
    ASA Congruency
  • (v)
    SAS Congruency
Question 7
7.
With the data in the given figure, △DEG ≅ △DFH by which property?
  • (i)
    SAS Congruency
  • (ii)
    not congruent
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
  • (v)
    ASA Congruency
Question 8
8.
    • In rhombus
    • BCDE
    • , diagonals
    •  


      BD
       
       
    • and
    •  


      CE
       
       
    • intersect at
    • F
    • . Then
    • △FBE
    • ≇
  • (i)
    △EBC
  • (ii)
    △FDE
  • (iii)
    △FDC
  • (iv)
    △FBC
Question 9
9.
With the data in the figure, △EOF ≅ △GOH by which property?
  • (i)
    ASA Congruency
  • (ii)
    not congruent
  • (iii)
    SSS Congruency
  • (iv)
    SAS Congruency
  • (v)
    RHS Congruency
Question 10
10.
In the given figure, KLMN is a square and △TKL is an equilateral triangle. △TNK ≅ △TML by which property?
  • (i)
    ASA Congruency
  • (ii)
    not congruent
  • (iii)
    SSS Congruency
  • (iv)
    SAS Congruency
  • (v)
    RHS Congruency
Question 11
11.
With the data in the figure, △HKI ≅ △HKJ by which property?
  • (i)
    ASA Congruency
  • (ii)
    SSS Congruency
  • (iii)
    not congruent
  • (iv)
    SAS Congruency
  • (v)
    RHS Congruency
Question 12
12.
    • In rhombus
    • FGHI
    • , diagonals
    •  


      FH
       
       
    • and
    •  


      GI
       
       
    • intersect at
    • J
    • . Then
    • △JHI
    • ≇
  • (i)
    △JHG
  • (ii)
    △JFI
  • (iii)
    △JFG
  • (iv)
    △IFG
Question 13
13.
    • In parallelogram
    • PQRS
    • ,
    • diagonals
    •  


      QS
       
       
    • and
    •  


      PR
       
       
    • intersect at
    • T
    • . Then
    • △RSP
       
      ≅
  • (i)
    △QRS
  • (ii)
    △RST
  • (iii)
    △PQT
  • (iv)
    △SPQ
  • (v)
    △PQR
Question 14
14.
With the data in the figure, △MNQ ≅ △MOR by which property?
  • (i)
    ASA Congruency
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    not congruent
  • (v)
    SAS Congruency
Question 15
15.
In the given figure, △CDE ≅ △RQP. Which of the following are true?
a)
∠P = 54°
b)
∠Q = 60°
c)
∠R = 60°
d)
∠R = 67°
e)
∠Q = 54°
f)
∠P = 67°
  • (i)
    {f,c,d}
  • (ii)
    {a,b,d}
  • (iii)
    {e,b}
  • (iv)
    {e,a,b}
  • (v)
    {c,a}
Question 16
16.
    • In kite
    • OPQR
    • ,
    •  


      OQ
       
       
    • and
    •  


      PR
       
       
    • are diagonals. Then
    • △SQR
    • ≅
  • (i)
    △RPQ
  • (ii)
    △RPO
  • (iii)
    △SQP
  • (iv)
    △SRO
  • (v)
    △SPO
Question 17
17.
    • In parallelogram
    • IJKL
    • ,
    • diagonals
    •  


      JL
       
       
    • and
    •  


      IK
       
       
    • intersect at
    • M
    • . Then
    • △IJK
       
      ≅
  • (i)
    △KLI
  • (ii)
    △LIJ
  • (iii)
    △KLM
  • (iv)
    △JKL
  • (v)
    △IJM
Question 18
18.
With the data in the figure, △EGH ≅ △EGF by which property?
  • (i)
    ASA Congruency
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SAS Congruency
  • (v)
    not congruent
Question 19
19.
With the data in the given figure, △OFE ≅ △ODC by which property?
  • (i)
    RHS Congruency
  • (ii)
    not congruent
  • (iii)
    ASA Congruency
  • (iv)
    SAS Congruency
  • (v)
    SSS Congruency
Question 20
20.
    • In rhombus
    • FGHI
    • , diagonals
    •  


      FH
       
       
    • and
    •  


      GI
       
       
    • intersect at
    • J
    • . Then
    • △HIF
    • ≅
  • (i)
    △JFG
  • (ii)
    △FGH
  • (iii)
    △IFG
  • (iv)
    △GHI
Question 21
21.
With the data in the figure, △COD ≅ △FOE by which property?
  • (i)
    ASA Congruency
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    not congruent
  • (v)
    RHS Congruency
Question 22
22.
In the given figure, which of the following is true?
  • (i)
    △CFE ≅ △DEC
  • (ii)
    △CFE ≅ △CDE
  • (iii)
    △CEF ≅ △ECD
  • (iv)
    △CEF ≅ △CED
  • (v)
    △CEF ≅ △CDE
Question 23
23.
With the data in the given figure, △SNO ≅ △RON by which property?
  • (i)
    SAS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    ASA Congruency
  • (v)
    not congruent
Question 24
24.
Identify the property by which the two given triangles are congruent
  • (i)
    SSS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
Question 25
25.
With the data in the given figure, △LMO ≅ △NMO by which property?
  • (i)
    ASA Congruency
  • (ii)
    SAS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    not congruent
  • (v)
    SSS Congruency
    Assignment Key

  •  1) (iii)
  •  2) (iv)
  •  3) (iii)
  •  4) (v)
  •  5) (ii)
  •  6) (iii)
  •  7) (v)
  •  8) (i)
  •  9) (ii)
  •  10) (iv)
  •  11) (iii)
  •  12) (iv)
  •  13) (v)
  •  14) (iv)
  •  15) (ii)
  •  16) (iii)
  •  17) (i)
  •  18) (v)
  •  19) (iii)
  •  20) (ii)
  •  21) (iv)
  •  22) (iii)
  •  23) (ii)
  •  24) (iv)
  •  25) (iv)