EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruence of Triangles
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
Question
2
2.
With the data in the figure, △FGI ≅ △GFH by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
3
3.
With the data in the figure, △EGH ≅ △GEF by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
4
4.
With the data in the figure, △CDF ≅ △DCE by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
5
5.
In the given figure, △CDE is an obtuse angled triangle. △CDF ≅ △EDF by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
6
6.
With the data in the figure, △KNL ≅ △KNM by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
7
7.
With the data in the figure, △GJH ≅ △GJI by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
8
8.
With the data in the figure, △ACD ≅ △ACB by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
9
9.
With the data in the given figure, △OKJ ≅ △OIH by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
10
10.
With the given data in the figure, △RFG ≅ △QGF by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
11
11.
With the data in the given figure, △OPS ≅ △OQR by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
12
12.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
Question
13
13.
With the data in the given figure, △ADB ≅ △ADC by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
14
14.
Which of the following are true?
a)
A triangle is a polygonal region.
b)
A square is a polygonal region.
c)
A sector is a polygonal region.
d)
A circle is a polygonal region.
e)
A semi-circle is a polygonal region.
(i)
{a,b}
(ii)
{c,a}
(iii)
{e,c,a}
(iv)
{d,b}
(v)
{d,b,a}
Question
15
15.
With the data in the figure, △KNL ≅ △MNL by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
16
16.
With the data in the given figure, △PQS ≅ △QPR by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
17
17.
With the data in the given figure, △NOQ ≅ △PQO by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
18
18.
With the data in the given figure, △GJI ≅ △GHI by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
19
19.
With the data in the given figure, △FOG ≅ △FOH by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
20
20.
With the data in the figure, △KLN ≅ △MLN by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
21
21.
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.
(i)
{c,d,e}
(ii)
{c,a}
(iii)
{a,b,e}
(iv)
{c,a,b}
(v)
{d,b}
Question
22
22.
With the given data in the figure, △DCF ≅ △EBF by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
23
23.
In the given figure, points D , E and F are the mid-points of sides BC, CA and AB of △ABC. Which of the following are true?
a)
△FBD ≅ △DEF
b)
△AFE ≅ △EDC
c)
△AFE ≅ △DFE
d)
△AFE ≅ △DEF
e)
△FBD ≅ △AFE
(i)
{a,b,d,e}
(ii)
{c,d}
(iii)
{c,b}
(iv)
{c,e,a}
(v)
{c,a}
Question
24
24.
In the given figure, △LJK is an isosceles triangle. IM ⟂ JK passing through L. △ILJ ≅ △ILK by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
25
25.
In the given figure, △ABC ≅ △VUT. Which of the following are true?
a)
∠U = 67°
b)
∠U = 54°
c)
∠V = 60°
d)
∠T = 67°
e)
∠V = 54°
f)
∠T = 60°
(i)
{f,a,d}
(ii)
{e,b,c}
(iii)
{a,b}
(iv)
{e,c}
(v)
{b,c,d}
Assignment Key
1) (ii)
2) (ii)
3) (i)
4) (iv)
5) (iii)
6) (iii)
7) (v)
8) (iv)
9) (ii)
10) (i)
11) (v)
12) (i)
13) (iii)
14) (i)
15) (i)
16) (iii)
17) (ii)
18) (i)
19) (ii)
20) (iii)
21) (iii)
22) (iii)
23) (i)
24) (i)
25) (v)
