EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruence of Triangles
Grade : CBSE Grade VII
License : Non Commercial Use
Question 1
1.
With the data in the figure, △DOE ≅ △FOG by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    SAS Congruency
  • (v)
    not congruent
Question 2
2.
With the data in the given figure, △EFH ≅ △EGH by which property?
  • (i)
    SAS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    not congruent
  • (v)
    SSS Congruency
Question 3
3.
Which of the following are true?
a)
Similar and congruent are not synonymous.
b)
If two figures are similar, then they are congruent too.
c)
Congruent figures have same area.
d)
If two figures are congruent, then they are similar too.
e)
Similar figures have same area.
  • (i)
    {b,a}
  • (ii)
    {b,a,c}
  • (iii)
    {b,e,d}
  • (iv)
    {a,c,d}
  • (v)
    {e,c}
Question 4
4.
With the data in the given figure, △PQS ≅ △RSQ by which property?
  • (i)
    SAS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    not congruent
  • (v)
    ASA Congruency
Question 5
5.
In the given figure, △BCD ≅ △SRQ. Which of the following are true?
a)
∠C = ∠R
b)
CD = RQ
c)
CD = SR
d)
∠B = ∠Q
e)
∠D = ∠Q
  • (i)
    {c,a}
  • (ii)
    {a,b,e}
  • (iii)
    {c,d,e}
  • (iv)
    {c,a,b}
  • (v)
    {d,b}
Question 6
6.
Identify the property by which the two given triangles are congruent
  • (i)
    SSS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    SAS Congruency
  • (iv)
    RHS Congruency
Question 7
7.
With the data in the figure, △FGI ≅ △GFH by which property?
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    not congruent
  • (iv)
    SSS Congruency
  • (v)
    RHS Congruency
Question 8
8.
With the data in the given figure, △LMO ≅ △MLN by which property?
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
  • (v)
    not congruent
Question 9
9.
In the given figure, GHIJ is a square and △TGH is an equilateral triangle. △TJG ≅ △TIH by which property?
  • (i)
    RHS Congruency
  • (ii)
    not congruent
  • (iii)
    SAS Congruency
  • (iv)
    SSS Congruency
  • (v)
    ASA Congruency
Question 10
10.
With the given data in the figure, △JIL ≅ △KHL by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    not congruent
  • (v)
    ASA Congruency
Question 11
11.
Identify the property by which the two given triangles are congruent
  • (i)
    ASA Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    SAS Congruency
Question 12
12.
In the given figure, points D , E and F are the mid-points of sides BC, CA and AB of △ABC. Which of the following are true?
a)
△FBD ≅ △AFE
b)
△AFE ≅ △EDC
c)
△AFE ≅ △DEF
d)
△FBD ≅ △DEF
e)
△AFE ≅ △DFE
  • (i)
    {e,b}
  • (ii)
    {e,d,a}
  • (iii)
    {e,a}
  • (iv)
    {e,c}
  • (v)
    {a,b,c,d}
Question 13
13.
With the data in the figure, △FIG ≅ △FIH by which property?
  • (i)
    not congruent
  • (ii)
    SAS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    SSS Congruency
  • (v)
    RHS Congruency
Question 14
14.
With the data in the figure, △OPS ≅ △OQT by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    SAS Congruency
  • (v)
    not congruent
Question 15
15.
With the data in the given figure, △FIG ≅ △FIH by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    not congruent
  • (iv)
    SAS Congruency
  • (v)
    ASA Congruency
Question 16
16.
In the given figure, △CDE ≅ △PQR. Which of the following are true?
a)
QR = 11 cm
b)
PQ = 14 cm
c)
QR = 14 cm
d)
RP = 11 cm
e)
PQ = 11 cm
f)
RP = 13 cm
  • (i)
    {d,a,f}
  • (ii)
    {b,e}
  • (iii)
    {c,e,f}
  • (iv)
    {b,c,e}
  • (v)
    {a,c}
Question 17
17.
Which of the following are true?
a)
A sector is a polygonal region.
b)
A square is a polygonal region.
c)
A semi-circle is a polygonal region.
d)
A triangle is a polygonal region.
e)
A circle is a polygonal region.
  • (i)
    {b,d}
  • (ii)
    {c,d,b}
  • (iii)
    {e,a,b}
  • (iv)
    {c,d}
  • (v)
    {a,b}
Question 18
18.
With the data in the figure, △KNL ≅ △MNL by which property?
  • (i)
    SAS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    SSS Congruency
  • (iv)
    RHS Congruency
  • (v)
    not congruent
Question 19
19.
With the data in the figure, △DEG ≅ △EDF by which property?
  • (i)
    ASA Congruency
  • (ii)
    RHS Congruency
  • (iii)
    not congruent
  • (iv)
    SAS Congruency
  • (v)
    SSS Congruency
Question 20
20.
With the data in the figure, △CEF ≅ △CED by which property?
  • (i)
    ASA Congruency
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    RHS Congruency
  • (v)
    not congruent
Question 21
21.
With the data in the figure, △GIJ ≅ △IGH by which property?
  • (i)
    not congruent
  • (ii)
    ASA Congruency
  • (iii)
    SSS Congruency
  • (iv)
    SAS Congruency
  • (v)
    RHS Congruency
Question 22
22.
With the data in the given figure, △PDE ≅ △QED by which property?
  • (i)
    ASA Congruency
  • (ii)
    SAS Congruency
  • (iii)
    not congruent
  • (iv)
    RHS Congruency
  • (v)
    SSS Congruency
Question 23
23.
With the data in the figure, △DGE ≅ △EFD by which property?
  • (i)
    RHS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    not congruent
  • (iv)
    SSS Congruency
  • (v)
    SAS Congruency
Question 24
24.
With the given data in the figure, △LMN ≅ △NOL by which property?
  • (i)
    ASA Congruency
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SAS Congruency
  • (v)
    not congruent
Question 25
25.
With the data in the figure, △LMO ≅ △LNO by which property?
  • (i)
    not congruent
  • (ii)
    ASA Congruency
  • (iii)
    SAS Congruency
  • (iv)
    RHS Congruency
  • (v)
    SSS Congruency
    Assignment Key

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