EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
With the data in the figure, △ABD ≅ △ECD by which property?
  • (i)
    not congruent
  • (ii)
    RHS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
  • (v)
    SSS Congruency
Question 2
2.
With the data in the given figure, △LNM ≅ △MOL by which property?
  • (i)
    not congruent
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SAS Congruency
  • (v)
    ASA Congruency
Question 3
3.
Which of the following are true?
a)
Area of the union of two polygonal region is the sum of the individual area.
b)
Area of a convex polygonal region is equal to the sum of the areas of all triangles formed by joining the vertices of the polygon with an interior point.
c)
A polygonal region can be divided into a finite number of triangles in a unique way.
d)
Area of the union of two polygonal region is not equal to the sum of the individual area.
  • (i)
    {b,d}
  • (ii)
    {a,c,b}
  • (iii)
    {a,b}
  • (iv)
    {a,d,b}
  • (v)
    {c,d}
Question 4
4.
With the data in the figure, △JKM ≅ △JLM by which property?
  • (i)
    SAS Congruency
  • (ii)
    not congruent
  • (iii)
    SSS Congruency
  • (iv)
    ASA Congruency
  • (v)
    RHS Congruency
Question 5
5.
With the data in the figure, △JMK ≅ △JML by which property?
  • (i)
    not congruent
  • (ii)
    ASA Congruency
  • (iii)
    SAS Congruency
  • (iv)
    RHS Congruency
  • (v)
    SSS Congruency
Question 6
6.
With the given data in the figure, △KLM ≅ △MNK by which property?
  • (i)
    not congruent
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
  • (v)
    SAS Congruency
Question 7
7.
Which of the following are true?
a)
A sector is a polygonal region.
b)
A square is a polygonal region.
c)
A circle is a polygonal region.
d)
A triangle is a polygonal region.
e)
A semi-circle is a polygonal region.
  • (i)
    {b,d}
  • (ii)
    {c,d,b}
  • (iii)
    {a,b}
  • (iv)
    {c,d}
  • (v)
    {e,a,b}
Question 8
8.
With the data in the figure, △HIL ≅ △IHM by which property?
  • (i)
    SAS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    not congruent
  • (v)
    ASA Congruency
Question 9
9.
With the data in the given figure, △LMO ≅ △NOM by which property?
  • (i)
    SSS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    not congruent
  • (iv)
    SAS Congruency
  • (v)
    RHS Congruency
Question 10
10.
With the given data in the figure, △LMN ≅ △ONM by which property?
  • (i)
    SAS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    SSS Congruency
  • (v)
    not congruent
Question 11
11.
With the data in the given figure, △LMO ≅ △MLN by which property?
  • (i)
    RHS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    not congruent
  • (v)
    ASA Congruency
Question 12
12.
With the data in the figure, △ILJ ≅ △KLJ by which property?
  • (i)
    ASA Congruency
  • (ii)
    RHS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    SSS Congruency
  • (v)
    not congruent
Question 13
13.
With the data in the figure, △FOG ≅ △HOI by which property?
  • (i)
    not congruent
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
  • (v)
    SAS Congruency
Question 14
14.
Identify the property by which the two given triangles are congruent
  • (i)
    RHS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    ASA Congruency
Question 15
15.
With the data in the figure, △LMO ≅ △NMO by which property?
  • (i)
    ASA Congruency
  • (ii)
    RHS Congruency
  • (iii)
    not congruent
  • (iv)
    SSS Congruency
  • (v)
    SAS Congruency
Question 16
16.
In the given figure, △BCD ≅ △RQP. Which of the following are true?
a)
CD = RQ
b)
CD = QP
c)
∠B = ∠P
d)
∠D = ∠P
e)
∠C = ∠Q
  • (i)
    {a,b}
  • (ii)
    {c,d}
  • (iii)
    {a,c,e}
  • (iv)
    {a,b,d}
  • (v)
    {b,d,e}
Question 17
17.
With the data in the figure, △OPS ≅ △OQT by which property?
  • (i)
    SSS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    not congruent
  • (v)
    SAS Congruency
Question 18
18.
With the data in the figure, △JMK ≅ △JML by which property?
  • (i)
    SAS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    not congruent
  • (v)
    RHS Congruency
Question 19
19.
With the data in the given figure, △CFE ≅ △CDE by which property?
  • (i)
    SSS Congruency
  • (ii)
    not congruent
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
  • (v)
    RHS Congruency
Question 20
20.
Identify the property by which the two given triangles are congruent
  • (i)
    SSS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SAS Congruency
Question 21
21.
With the data in the given figure, △OGF ≅ △OED by which property?
  • (i)
    not congruent
  • (ii)
    SAS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
  • (v)
    ASA Congruency
Question 22
22.
Which of the following are true?
a)
If two figures are similar, then they are congruent too.
b)
Similar and congruent are not synonymous.
c)
Congruent figures have same area.
d)
Similar figures have same area.
e)
If two figures are congruent, then they are similar too.
  • (i)
    {a,b,c}
  • (ii)
    {a,b}
  • (iii)
    {b,c,e}
  • (iv)
    {a,d,e}
  • (v)
    {d,c}
Question 23
23.
In the given figure, which pair of triangles are not congruent ?
  • (i)
    fig 3
  • (ii)
    fig 1
  • (iii)
    fig 2
  • (iv)
    fig 4
Question 24
24.
With the data in the given figure, △EFI ≅ △EGH by which property?
  • (i)
    SAS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    not congruent
  • (iv)
    SSS Congruency
  • (v)
    ASA Congruency
Question 25
25.
With the data in the figure, △BEC ≅ △CDB by which property?
  • (i)
    SSS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    not congruent
  • (iv)
    RHS Congruency
  • (v)
    SAS Congruency
    Assignment Key

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