EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruence of Triangles
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 3
(iii)
fig 4
(iv)
fig 1
Question
2
2.
With the data in the figure, △CDF ≅ △EDF by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
3
3.
With the given data in the figure, △ABC ≅ △DCB by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
4
4.
In the given figure, △DEF ≅ △TSR. Which of the following are true?
a)
∠T = 51°
b)
∠R = 57°
c)
∠S = 57°
d)
∠T = 73°
e)
∠S = 51°
f)
∠R = 73°
(i)
{b,d,e}
(ii)
{c,d}
(iii)
{f,a,e}
(iv)
{a,b}
(v)
{c,b,d}
Question
5
5.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 4
(iii)
fig 1
(iv)
fig 3
Question
6
6.
In the given figure, GHIJ is a square and △RGH is an equilateral triangle. △RJG ≅ △RIH by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
7
7.
With the given data in the figure, △LKN ≅ △MJN by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
8
8.
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
9
9.
With the data in the figure, △KLO ≅ △LKP by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
10
10.
With the data in the figure, △EFH ≅ △FEG by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
11
11.
With the data in the given figure, △OKJ ≅ △OIH by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
12
12.
Which of the following are true?
a)
A square is a polygonal region.
b)
A circle is a polygonal region.
c)
A semi-circle is a polygonal region.
d)
A triangle is a polygonal region.
e)
A sector is a polygonal region.
(i)
{a,d}
(ii)
{e,b,a}
(iii)
{c,d,a}
(iv)
{b,a}
(v)
{c,d}
Question
13
13.
With the data in the given figure, △KFG ≅ △JGF by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
14
14.
Which of the following are true?
a)
Any two triangles are congruent.
b)
Any two circles are congruent.
c)
Any two squares are similar.
d)
Any two circles are similar.
e)
Any two squares are congruent.
f)
Any two triangles are similar.
(i)
{c,d}
(ii)
{e,f,c}
(iii)
{a,c}
(iv)
{a,d,c}
(v)
{b,d}
Question
15
15.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
Question
16
16.
With the data in the figure, △GHJ ≅ △KIJ by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
17
17.
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 ≅ △PQR
c)
△MRQ ≅ △PRQ
d)
△RNP ≅ △MRQ
e)
△MRQ ≅ △PQR
(i)
{c,d}
(ii)
{c,e,a}
(iii)
{c,b}
(iv)
{c,a}
(v)
{a,b,d,e}
Question
18
18.
Which of the following are true?
a)
If two figures are congruent, then they are similar too.
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)
Congruent figures have same area.
(i)
{c,a}
(ii)
{c,d,e}
(iii)
{c,a,b}
(iv)
{a,b,e}
(v)
{d,b}
Question
19
19.
With the data in the figure, △KLN ≅ △KMN by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
20
20.
With the data in the given figure, △BEO ≅ △CDO by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
21
21.
With the data in the figure, △GJH ≅ △GJI by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
22
22.
With the data in the figure, △FGI ≅ △GFH by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
23
23.
With the data in the given figure, △PQS ≅ △QPR by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
24
24.
With the data in the given figure, △CFD ≅ △CFE by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
25
25.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (i)
5) (iii)
6) (ii)
7) (iv)
8) (i)
9) (iii)
10) (v)
11) (i)
12) (i)
13) (i)
14) (i)
15) (iv)
16) (i)
17) (v)
18) (iv)
19) (iv)
20) (iii)
21) (iv)
22) (v)
23) (iii)
24) (iii)
25) (iii)
