EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruency of Triangles
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
With the data in the figure, △FOG ≅ △HOI by which property?
  • (i)
    SSS Congruency
  • (ii)
    not congruent
  • (iii)
    SAS Congruency
  • (iv)
    RHS Congruency
  • (v)
    ASA Congruency
Question 2
2.
In the given figure, which pair of triangles are not congruent ?
  • (i)
    fig 3
  • (ii)
    fig 4
  • (iii)
    fig 2
  • (iv)
    fig 1
Question 3
3.
With the data in the figure, △BOC ≅ △EOD by which property?
  • (i)
    SAS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    not congruent
  • (iv)
    ASA Congruency
  • (v)
    SSS Congruency
Question 4
4.
Identify the property by which the two given triangles are congruent
  • (i)
    SSS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    SAS Congruency
Question 5
5.
In the given figure, points N , O and P are the mid-points of sides LM, MK and KL of △KLM. Which of the following are true?
a)
△PLN ≅ △KPO
b)
△KPO ≅ △NPO
c)
△PLN ≅ △NOP
d)
△KPO ≅ △ONM
e)
△KPO ≅ △NOP
  • (i)
    {b,e,a}
  • (ii)
    {b,a}
  • (iii)
    {b,d}
  • (iv)
    {b,c}
  • (v)
    {a,c,d,e}
Question 6
6.
With the data in the figure, △GHJ ≅ △GIJ by which property?
  • (i)
    SSS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    not congruent
  • (v)
    ASA Congruency
Question 7
7.
With the data in the given figure, △BED ≅ △BCD by which property?
  • (i)
    SAS Congruency
  • (ii)
    not congruent
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
  • (v)
    ASA Congruency
Question 8
8.
In the given figure, BCDE is a square and △RBC is an equilateral triangle. △REB ≅ △RDC by which property?
  • (i)
    not congruent
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
  • (v)
    RHS Congruency
Question 9
9.
With the given data in the figure, △NMP ≅ △OLP by which property?
  • (i)
    SSS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    not congruent
  • (iv)
    ASA Congruency
  • (v)
    RHS Congruency
Question 10
10.
With the data in the given figure, △SNO ≅ △RON by which property?
  • (i)
    SAS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    ASA Congruency
  • (v)
    not congruent
Question 11
11.
With the data in the given figure, △ADB ≅ △ADC by which property?
  • (i)
    SAS Congruency
  • (ii)
    not congruent
  • (iii)
    SSS Congruency
  • (iv)
    ASA Congruency
  • (v)
    RHS Congruency
Question 12
12.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A triangle is a polygonal region.
c)
A circle is a polygonal region.
d)
A sector is a polygonal region.
e)
A square is a polygonal region.
  • (i)
    {b,e}
  • (ii)
    {c,e,b}
  • (iii)
    {d,a,b}
  • (iv)
    {c,e}
  • (v)
    {a,b}
Question 13
13.
In the given figure, △EFG ≅ △VUT. Which of the following are true?
a)
∠T = 81°
b)
∠U = 52°
c)
∠V = 52°
d)
∠U = 46°
e)
∠V = 81°
f)
∠T = 46°
  • (i)
    {d,a,f}
  • (ii)
    {c,b,e}
  • (iii)
    {b,e,f}
  • (iv)
    {c,e}
  • (v)
    {a,b}
Question 14
14.
With the data in the figure, △HKI ≅ △IJH by which property?
  • (i)
    SSS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    not congruent
  • (iv)
    RHS Congruency
  • (v)
    ASA Congruency
Question 15
15.
With the data in the given figure, △LMO ≅ △MLN by which property?
  • (i)
    SAS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    not congruent
  • (v)
    ASA Congruency
Question 16
16.
Identify the property by which the two given triangles are congruent
  • (i)
    ASA Congruency
  • (ii)
    SAS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
Question 17
17.
With the given data in the figure, △TEF ≅ △SFE by which property?
  • (i)
    ASA Congruency
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SAS Congruency
  • (v)
    not congruent
Question 18
18.
With the data in the given figure, △OGF ≅ △OED by which property?
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    not congruent
  • (iv)
    RHS Congruency
  • (v)
    SSS Congruency
Question 19
19.
In the given figure, which of the following is true?
  • (i)
    △DFG ≅ △DFE
  • (ii)
    △DGF ≅ △DEF
  • (iii)
    △DGF ≅ △EFD
  • (iv)
    △DFG ≅ △FDE
  • (v)
    △DFG ≅ △DEF
Question 20
20.
With the data in the given figure, △PQS ≅ △RQS by which property?
  • (i)
    SSS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SAS Congruency
  • (v)
    not congruent
Question 21
21.
With the data in the figure, △EFH ≅ △FEG by which property?
  • (i)
    RHS Congruency
  • (ii)
    not congruent
  • (iii)
    ASA Congruency
  • (iv)
    SAS Congruency
  • (v)
    SSS Congruency
Question 22
22.
With the data in the given figure, △NOQ ≅ △PQO by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
  • (v)
    not congruent
Question 23
23.
With the data in the given figure, △HKO ≅ △IJO by which property?
  • (i)
    not congruent
  • (ii)
    RHS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    ASA Congruency
  • (v)
    SAS Congruency
Question 24
24.
With the data in the figure, △ILJ ≅ △ILK by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
  • (v)
    not congruent
Question 25
25.
With the given data in the figure, △DEF ≅ △GFE by which property?
  • (i)
    RHS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    not congruent
  • (iv)
    SAS Congruency
  • (v)
    SSS Congruency
    Assignment Key

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