EduSahara™ Assignment
Name : Congruence of Triangles
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
Identify the property by which the two given triangles are congruent
  • (i)
    ASA Congruency
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    RHS Congruency
Question 2
2.
Identify the property by which the two given triangles are congruent
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    SAS Congruency
Question 3
3.
Identify the property by which the two given triangles are congruent
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    SSS Congruency
  • (iv)
    RHS Congruency
Question 4
4.
Identify the property by which the two given triangles are congruent
  • (i)
    ASA Congruency
  • (ii)
    SAS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    RHS Congruency
Question 5
5.
In the given figure, which of the following is true?
  • (i)
    △DEF ≅ △TUS
  • (ii)
    △DEF ≅ △UST
  • (iii)
    △DEF ≅ △STU
  • (iv)
    △DEF ≅ △UTS
  • (v)
    △EFD ≅ △STU
Question 6
6.
In the given figure, △DEF ≅ △UTS. Which of the following are true?
a)
∠D = ∠S
b)
∠E = ∠T
c)
EF = UT
d)
∠F = ∠S
e)
EF = TS
  • (i)
    {b,d,e}
  • (ii)
    {c,d}
  • (iii)
    {a,b}
  • (iv)
    {a,b,d}
  • (v)
    {a,c,e}
Question 7
7.
In the given figure, △CDE ≅ △UTS. Which of the following are true?
a)
∠U = 73°
b)
∠S = 51°
c)
∠T = 57°
d)
∠T = 51°
e)
∠S = 73°
f)
∠U = 57°
  • (i)
    {d,a}
  • (ii)
    {e,b}
  • (iii)
    {e,a,b}
  • (iv)
    {a,b,c}
  • (v)
    {f,d,c}
Question 8
8.
In the given figure, △BCD ≅ △STU. Which of the following are true?
a)
US = 12 cm
b)
TU = 15 cm
c)
TU = 11 cm
d)
US = 15 cm
e)
ST = 11 cm
f)
ST = 15 cm
  • (i)
    {b,a}
  • (ii)
    {a,c,f}
  • (iii)
    {e,b,f}
  • (iv)
    {d,c}
  • (v)
    {d,a,c}
Question 9
9.
With the data in the given figure, △CDF ≅ △CEF by which property?
  • (i)
    SAS Congruency
  • (ii)
    not congruent
  • (iii)
    ASA Congruency
  • (iv)
    RHS Congruency
  • (v)
    SSS Congruency
Question 10
10.
With the data in the given figure, △OED ≅ △OCB by which property?
  • (i)
    SSS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    not congruent
  • (iv)
    SAS Congruency
  • (v)
    RHS Congruency
Question 11
11.
With the given data in the figure, △JIL ≅ △KHL by which property?
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    not congruent
  • (iv)
    RHS Congruency
  • (v)
    SSS Congruency
Question 12
12.
With the given data in the figure, △DEF ≅ △FGD by which property?
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    not congruent
  • (iv)
    SSS Congruency
  • (v)
    RHS Congruency
Question 13
13.
With the given data in the figure, △FGH ≅ △IHG by which property?
  • (i)
    SAS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    ASA Congruency
  • (v)
    not congruent
Question 14
14.
With the given data in the figure, △UFG ≅ △TGF by which property?
  • (i)
    SAS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    not congruent
  • (v)
    RHS Congruency
Question 15
15.
With the data in the given figure, △GJO ≅ △HIO by which property?
  • (i)
    ASA Congruency
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    RHS Congruency
  • (v)
    not congruent
Question 16
16.
With the data in the given figure, △CFE ≅ △CDE by which property?
  • (i)
    ASA Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    not congruent
  • (v)
    SAS Congruency
Question 17
17.
With the data in the given figure, △GBC ≅ △FCB by which property?
  • (i)
    SSS Congruency
  • (ii)
    not congruent
  • (iii)
    ASA Congruency
  • (iv)
    RHS Congruency
  • (v)
    SAS Congruency
Question 18
18.
With the data in the given figure, △QBC ≅ △RCB by which property?
  • (i)
    SAS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    not congruent
  • (iv)
    ASA Congruency
  • (v)
    SSS Congruency
Question 19
19.
In the given figure, △HFG is an isosceles triangle. EI ⟂ FG passing through H. △EHF ≅ △EHG by which property?
  • (i)
    not congruent
  • (ii)
    ASA Congruency
  • (iii)
    SAS Congruency
  • (iv)
    RHS Congruency
  • (v)
    SSS Congruency
Question 20
20.
In the given figure, FGHI is a square and △RFG is an equilateral triangle. △RIF ≅ △RHG by which property?
  • (i)
    not congruent
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SAS Congruency
  • (v)
    SSS Congruency
Question 21
21.
With the data in the given figure, △JKM ≅ △JLN by which property?
  • (i)
    not congruent
  • (ii)
    SSS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    RHS Congruency
  • (v)
    SAS Congruency
Question 22
22.
With the data in the given figure, △HKI ≅ △HKJ by which property?
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
  • (v)
    not congruent
Question 23
23.
With the data in the given figure, △MON ≅ △NPM by which property?
  • (i)
    SSS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    SAS Congruency
  • (v)
    not congruent
Question 24
24.
With the data in the given figure, △JKN ≅ △JLM by which property?
  • (i)
    ASA Congruency
  • (ii)
    not congruent
  • (iii)
    SAS Congruency
  • (iv)
    RHS Congruency
  • (v)
    SSS Congruency
Question 25
25.
In the given figure, △KLM is an obtuse angled triangle. △KLN ≅ △MLN by which property?
  • (i)
    SSS Congruency
  • (ii)
    not congruent
  • (iii)
    RHS Congruency
  • (iv)
    ASA Congruency
  • (v)
    SAS Congruency
Question 26
26.
With the data in the given figure, △AOB ≅ △AOC by which property?
  • (i)
    ASA Congruency
  • (ii)
    not congruent
  • (iii)
    SSS Congruency
  • (iv)
    SAS Congruency
  • (v)
    RHS Congruency
Question 27
27.
With the data in the figure, △EHF ≅ △GHF by which property?
  • (i)
    SSS Congruency
  • (ii)
    not congruent
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
  • (v)
    RHS Congruency
Question 28
28.
With the data in the figure, △ADB ≅ △ADC by which property?
  • (i)
    RHS Congruency
  • (ii)
    not congruent
  • (iii)
    ASA Congruency
  • (iv)
    SAS Congruency
  • (v)
    SSS Congruency
Question 29
29.
With the data in the figure, △ADB ≅ △CDB by which property?
  • (i)
    ASA Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    not congruent
  • (v)
    SAS Congruency
Question 30
30.
With the data in the figure, △EFH ≅ △EGH by which property?
  • (i)
    SSS Congruency
  • (ii)
    not congruent
  • (iii)
    ASA Congruency
  • (iv)
    RHS Congruency
  • (v)
    SAS Congruency
Question 31
31.
With the data in the figure, △MPN ≅ △NOM by which property?
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    not congruent
  • (v)
    SSS Congruency
Question 32
32.
With the data in the figure, △EHF ≅ △EHG by which property?
  • (i)
    ASA Congruency
  • (ii)
    SAS Congruency
  • (iii)
    not congruent
  • (iv)
    RHS Congruency
  • (v)
    SSS Congruency
Question 33
33.
With the data in the figure, △EOF ≅ △HOG by which property?
  • (i)
    RHS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    SSS Congruency
  • (iv)
    not congruent
  • (v)
    SAS Congruency
Question 34
34.
With the data in the figure, △FGI ≅ △GFH by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    not congruent
  • (v)
    ASA Congruency
Question 35
35.
With the data in the figure, △HJK ≅ △JHI by which property?
  • (i)
    SSS Congruency
  • (ii)
    not congruent
  • (iii)
    RHS Congruency
  • (iv)
    ASA Congruency
  • (v)
    SAS Congruency
Question 36
36.
With the data in the figure, △BEC ≅ △BED by which property?
  • (i)
    ASA Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    SAS Congruency
  • (v)
    not congruent
Question 37
37.
With the data in the figure, △HKI ≅ △IJH by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
  • (v)
    not congruent
Question 38
38.
With the data in the figure, △HOI ≅ △JOK by which property?
  • (i)
    SAS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    not congruent
  • (v)
    ASA Congruency
Question 39
39.
With the data in the figure, △EOF ≅ △GOH by which property?
  • (i)
    ASA Congruency
  • (ii)
    not congruent
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
  • (v)
    SAS Congruency
Question 40
40.
With the data in the figure, △IJL ≅ △JIK by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    not congruent
  • (iv)
    ASA Congruency
  • (v)
    SAS Congruency
Question 41
41.
With the data in the figure, △FGI ≅ △JHI by which property?
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    not congruent
  • (v)
    SSS Congruency
Question 42
42.
With the data in the figure, △EFH ≅ △GFH by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    not congruent
  • (v)
    ASA Congruency
Question 43
43.
With the data in the figure, △LMP ≅ △MLQ by which property?
  • (i)
    SSS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
  • (v)
    not congruent
Question 44
44.
With the data in the figure, △DFG ≅ △DFE by which property?
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
  • (v)
    not congruent
Question 45
45.
With the data in the figure, △HLK ≅ △ILJ by which property?
  • (i)
    ASA Congruency
  • (ii)
    SAS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    RHS Congruency
  • (v)
    not congruent
Question 46
46.
With the data in the figure, △MNQ ≅ △MOR by which property?
  • (i)
    not congruent
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
  • (v)
    RHS Congruency
Question 47
47.
With the data in the given figure, △NOQ ≅ △POQ by which property?
  • (i)
    ASA Congruency
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SAS Congruency
  • (v)
    not congruent
Question 48
48.
With the data in the given figure, △OPR ≅ △POQ by which property?
  • (i)
    SSS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    ASA Congruency
  • (v)
    not congruent
Question 49
49.
With the data in the given figure, △OPR ≅ △QRP by which property?
  • (i)
    SAS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    ASA Congruency
  • (v)
    not congruent
Question 50
50.
With the data in the given figure, △OPR ≅ △QPR by which property?
  • (i)
    not congruent
  • (ii)
    SAS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    SSS Congruency
  • (v)
    RHS Congruency
    Assignment Key

  •  1) (iii)
  •  2) (iii)
  •  3) (iii)
  •  4) (iv)
  •  5) (iii)
  •  6) (i)
  •  7) (iv)
  •  8) (ii)
  •  9) (iv)
  •  10) (ii)
  •  11) (ii)
  •  12) (ii)
  •  13) (i)
  •  14) (v)
  •  15) (iii)
  •  16) (iii)
  •  17) (iv)
  •  18) (i)
  •  19) (iii)
  •  20) (iv)
  •  21) (iii)
  •  22) (iv)
  •  23) (ii)
  •  24) (iv)
  •  25) (i)
  •  26) (ii)
  •  27) (ii)
  •  28) (ii)
  •  29) (iv)
  •  30) (ii)
  •  31) (iv)
  •  32) (iii)
  •  33) (iv)
  •  34) (iv)
  •  35) (ii)
  •  36) (v)
  •  37) (v)
  •  38) (iv)
  •  39) (ii)
  •  40) (iii)
  •  41) (iv)
  •  42) (iv)
  •  43) (v)
  •  44) (v)
  •  45) (v)
  •  46) (i)
  •  47) (v)
  •  48) (v)
  •  49) (v)
  •  50) (i)