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, △MPN ≅ △NOM by which property?
  • (i)
    not congruent
  • (ii)
    SSS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    RHS Congruency
  • (v)
    ASA Congruency
Question 2
2.
With the data in the given figure, △PQS ≅ △RQS by which property?
  • (i)
    not congruent
  • (ii)
    RHS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    ASA Congruency
  • (v)
    SAS Congruency
Question 3
3.
With the data in the figure, △BCE ≅ △BDE by which property?
  • (i)
    not congruent
  • (ii)
    RHS Congruency
  • (iii)
    SSS Congruency
  • (iv)
    ASA Congruency
  • (v)
    SAS Congruency
Question 4
4.
Which of the following are true?
a)
A polygonal region can be divided into a finite number of triangles in a unique way.
b)
Area of the union of two polygonal region is not equal to the sum of the individual area.
c)
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.
d)
Area of the union of two polygonal region is the sum of the individual area.
  • (i)
    {a,d,b}
  • (ii)
    {b,c}
  • (iii)
    {a,c,b}
  • (iv)
    {a,b}
  • (v)
    {d,c}
Question 5
5.
With the data in the figure, △GIJ ≅ △IGH by which property?
  • (i)
    not congruent
  • (ii)
    RHS Congruency
  • (iii)
    SAS Congruency
  • (iv)
    ASA Congruency
  • (v)
    SSS Congruency
Question 6
6.
With the data in the given figure, △AOB ≅ △AOC by which property?
  • (i)
    SSS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    not congruent
  • (v)
    RHS Congruency
Question 7
7.
In the given figure, which pair of triangles are not congruent ?
  • (i)
    fig 1
  • (ii)
    fig 4
  • (iii)
    fig 3
  • (iv)
    fig 2
Question 8
8.
With the data in the given figure, △MNP ≅ △NMO by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    not congruent
  • (iv)
    SAS Congruency
  • (v)
    ASA Congruency
Question 9
9.
With the data in the figure, △ADB ≅ △BCA by which property?
  • (i)
    SSS Congruency
  • (ii)
    not congruent
  • (iii)
    RHS Congruency
  • (iv)
    SAS Congruency
  • (v)
    ASA Congruency
Question 10
10.
With the data in the figure, △BCE ≅ △CBD by which property?
  • (i)
    not congruent
  • (ii)
    SSS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    ASA Congruency
  • (v)
    SAS Congruency
Question 11
11.
With the data in the given figure, △NOQ ≅ △PQO by which property?
  • (i)
    SSS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    RHS Congruency
  • (v)
    not congruent
Question 12
12.
With the given data in the figure, △CDE ≅ △FED by which property?
  • (i)
    SSS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    not congruent
  • (iv)
    RHS Congruency
  • (v)
    ASA Congruency
Question 13
13.
With the data in the given figure, △PHI ≅ △QIH by which property?
  • (i)
    SSS Congruency
  • (ii)
    not congruent
  • (iii)
    RHS Congruency
  • (iv)
    ASA Congruency
  • (v)
    SAS Congruency
Question 14
14.
With the data in the figure, △CFD ≅ △CFE by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    not congruent
  • (iv)
    SAS Congruency
  • (v)
    ASA Congruency
Question 15
15.
With the data in the figure, △DGE ≅ △DGF by which property?
  • (i)
    ASA Congruency
  • (ii)
    not congruent
  • (iii)
    RHS Congruency
  • (iv)
    SSS Congruency
  • (v)
    SAS Congruency
Question 16
16.
With the data in the given figure, △JKM ≅ △JLM by which property?
  • (i)
    SSS Congruency
  • (ii)
    ASA Congruency
  • (iii)
    SAS Congruency
  • (iv)
    not congruent
  • (v)
    RHS Congruency
Question 17
17.
With the data in the figure, △JKM ≅ △NLM by which property?
  • (i)
    RHS Congruency
  • (ii)
    not congruent
  • (iii)
    SAS Congruency
  • (iv)
    SSS Congruency
  • (v)
    ASA Congruency
Question 18
18.
With the data in the figure, △BOC ≅ △DOE by which property?
  • (i)
    SAS Congruency
  • (ii)
    not congruent
  • (iii)
    RHS Congruency
  • (iv)
    ASA Congruency
  • (v)
    SSS Congruency
Question 19
19.
Identify the property by which the two given triangles are congruent
  • (i)
    SSS Congruency
  • (ii)
    SAS Congruency
  • (iii)
    RHS Congruency
  • (iv)
    ASA Congruency
Question 20
20.
With the data in the figure, △HIK ≅ △IHJ by which property?
  • (i)
    RHS Congruency
  • (ii)
    SSS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    SAS Congruency
  • (v)
    not congruent
Question 21
21.
With the data in the figure, △KLO ≅ △LKP by which property?
  • (i)
    not congruent
  • (ii)
    SAS Congruency
  • (iii)
    ASA Congruency
  • (iv)
    RHS Congruency
  • (v)
    SSS Congruency
Question 22
22.
Which of the following are true?
a)
Any two triangles are similar.
b)
Any two circles are similar.
c)
Any two squares are congruent.
d)
Any two circles are congruent.
e)
Any two squares are similar.
f)
Any two triangles are congruent.
  • (i)
    {a,e,b}
  • (ii)
    {b,e}
  • (iii)
    {c,e}
  • (iv)
    {d,f,b}
  • (v)
    {a,b}
Question 23
23.
Which of the following are true?
a)
Similar figures have same area.
b)
Congruent figures have same area.
c)
If two figures are similar, then they are congruent too.
d)
If two figures are congruent, then they are similar too.
e)
Similar and congruent are not synonymous.
  • (i)
    {b,d,e}
  • (ii)
    {c,d}
  • (iii)
    {a,b}
  • (iv)
    {a,b,d}
  • (v)
    {a,c,e}
Question 24
24.
With the data in the given figure, △OJK ≅ △NKJ by which property?
  • (i)
    SSS Congruency
  • (ii)
    RHS Congruency
  • (iii)
    not congruent
  • (iv)
    SAS Congruency
  • (v)
    ASA Congruency
Question 25
25.
In the given figure, points O , P and Q are the mid-points of sides MN, NL and LM of △LMN. Which of the following are true?
a)
△LQP ≅ △OQP
b)
△QMO ≅ △LQP
c)
△QMO ≅ △OPQ
d)
△LQP ≅ △PON
e)
△LQP ≅ △OPQ
  • (i)
    {a,b}
  • (ii)
    {a,d}
  • (iii)
    {b,c,d,e}
  • (iv)
    {a,e,b}
  • (v)
    {a,c}
    Assignment Key

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