CBSE Board Practice

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CBSE Grade IX - Triangles
Question 1
1.
Which of the following are true?
a)
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.
b)
A polygonal region can be divided into a finite number of triangles in a unique way.
c)
Area of the union of two polygonal region is not equal to the sum of the individual area.
d)
Area of the union of two polygonal region is the sum of the individual area.
  • {a,c}
  • {b,c,a}
  • {b,d,a}
  • {d,c}
  • {b,a}
Question 2
2.
In the given figure, points K , L and M are the mid-points of sides IJ, JH and HI of △HIJ. Which of the following are true?
a)
    • Area of trapezium
    • IJLM
    • is
    • 1
      4
    • the area of
    • △HIJ
b)
Area of trapezium IJLM is thrice the area of △HML
c)
    • Area of
    • △HIJ
    • =
    • 1
      3
    • area of
    • △KLM
d)
Area of △HIJ = 4 times area of △KLM
e)
All four small triangles have equal areas
  • {c,d}
  • {b,d,e}
  • {a,c,e}
  • {a,b}
  • {a,b,d}
Question 3
3.
With the data in the given figure, △IJL ≅ △IKM by which property?
  • not congruent
  • ASA Congruency
  • RHS Congruency
  • SSS Congruency
  • SAS Congruency
Question 4
4.
With the data in the figure, △OPS ≅ △OQT by which property?
  • not congruent
  • SSS Congruency
  • RHS Congruency
  • ASA Congruency
  • SAS Congruency
Question 5
5.
With the data in the figure, △DGE ≅ △FGE by which property?
  • SAS Congruency
  • not congruent
  • SSS Congruency
  • ASA Congruency
  • RHS Congruency
Question 6
6.
With the data in the figure, △BCE ≅ △FDE by which property?
  • SSS Congruency
  • ASA Congruency
  • not congruent
  • SAS Congruency
  • RHS Congruency
Question 7
7.
In the given figure, points P , Q and R are the mid-points of sides NO, OM and MN of △MNO. Which of the following are true?
a)
△MRQ ≅ △QPO
b)
△RNP ≅ △MRQ
c)
△RNP ≅ △PQR
d)
△MRQ ≅ △PQR
e)
△MRQ ≅ △PRQ
  • {e,c}
  • {e,d,a}
  • {a,b,c,d}
  • {e,b}
  • {e,a}
Question 8
8.
With the data in the figure, △ILJ ≅ △ILK by which property?
  • SSS Congruency
  • ASA Congruency
  • SAS Congruency
  • RHS Congruency
  • not congruent
Question 9
9.
With the data in the figure, △LOM ≅ △NOM by which property?
  • SSS Congruency
  • SAS Congruency
  • not congruent
  • ASA Congruency
  • RHS Congruency
Question 10
10.
In the given figure, which pair of triangles are not congruent ?
  • fig 1
  • fig 3
  • fig 4
  • fig 2