ICSE Board Practice

ICSE Grade VII - Congruency of Triangles
Question 1
1.
In the given figure, which of the following is true?
  • △ADC ≅ △BCA
  • △ADC ≅ △ABC
  • △ACD ≅ △ABC
  • △ACD ≅ △CAB
  • △ACD ≅ △ACB
Question 2
2.
Identify the property by which the two given triangles are congruent
  • SAS Congruency
  • SSS Congruency
  • RHS Congruency
  • ASA Congruency
Question 3
3.
With the data in the given figure, △ABD ≅ △ACD by which property?
  • not congruent
  • RHS Congruency
  • SAS Congruency
  • ASA Congruency
  • SSS Congruency
Question 4
4.
With the data in the figure, △KNL ≅ △MNL by which property?
  • not congruent
  • SSS Congruency
  • ASA Congruency
  • RHS Congruency
  • SAS Congruency
Question 5
5.
Which of the following are true?
a)
Congruent figures have same area.
b)
Similar and congruent are not synonymous.
c)
If two figures are similar, then they are congruent too.
d)
Similar figures have same area.
e)
If two figures are congruent, then they are similar too.
  • {d,b}
  • {a,b,e}
  • {c,a}
  • {c,d,e}
  • {c,a,b}
Question 6
6.
With the data in the figure, △DEG ≅ △FEG by which property?
  • ASA Congruency
  • not congruent
  • SAS Congruency
  • RHS Congruency
  • SSS Congruency
Question 7
7.
Which of the following are true?
a)
Any two squares are similar.
b)
Any two squares are congruent.
c)
Any two circles are similar.
d)
Any two triangles are similar.
e)
Any two circles are congruent.
f)
Any two triangles are congruent.
  • {a,c}
  • {d,c}
  • {b,a}
  • {e,f,a}
  • {b,c,a}
Question 8
8.
In the given figure, △LJK is an isosceles triangle. IM ⟂ JK passing through L. △ILJ ≅ △ILK by which property?
  • RHS Congruency
  • SAS Congruency
  • SSS Congruency
  • ASA Congruency
  • not congruent
Question 9
9.
In the given figure, △DEF ≅ △UTS. Which of the following are true?
a)
∠E = ∠T
b)
∠D = ∠S
c)
EF = UT
d)
EF = TS
e)
∠F = ∠S
  • {a,d,e}
  • {b,c,e}
  • {b,a,d}
  • {c,d}
  • {b,a}
Question 10
10.
Identify the property by which the two given triangles are congruent
  • ASA Congruency
  • SSS Congruency
  • RHS Congruency
  • SAS Congruency