EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruency of Triangles
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
A square is a polygonal region.
b)
A semi-circle is a polygonal region.
c)
A sector is a polygonal region.
d)
A triangle is a polygonal region.
e)
A circle is a polygonal region.
(i)
{c,d}
(ii)
{a,d}
(iii)
{e,b,a}
(iv)
{b,a}
(v)
{c,d,a}
Question
2
2.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 1
(iii)
fig 2
(iv)
fig 3
Question
3
3.
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)
△QMO ≅ △OPQ
b)
△QMO ≅ △LQP
c)
△LQP ≅ △OQP
d)
△LQP ≅ △OPQ
e)
△LQP ≅ △PON
(i)
{c,a}
(ii)
{a,b,d,e}
(iii)
{c,b}
(iv)
{c,e,a}
(v)
{c,d}
Question
4
4.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 4
(iii)
fig 2
(iv)
fig 1
Question
5
5.
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)
Area of the union of two polygonal region is not equal to the sum of the individual area.
c)
A polygonal region can be divided into a finite number of triangles in a unique way.
d)
Area of the union of two polygonal region is the sum of the individual area.
(i)
{a,b}
(ii)
{c,d,a}
(iii)
{d,b}
(iv)
{c,b,a}
(v)
{c,a}
Question
6
6.
With the data in the figure, △JKM ≅ △NLM by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
7
7.
With the data in the given figure, △OED ≅ △OCB by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
8
8.
With the data in the figure, △DGE ≅ △FGE by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
9
9.
With the data in the figure, △EOF ≅ △HOG by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
10
10.
With the data in the given figure, △GHJ ≅ △GIJ by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
11
11.
With the data in the figure, △GHJ ≅ △HGI by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
12
12.
With the data in the given figure, △EHO ≅ △FGO by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
13
13.
With the data in the figure, △EHF ≅ △EHG by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
14
14.
In the given figure, △CDE ≅ △SRQ. Which of the following are true?
a)
∠Q = 76°
b)
∠R = 58°
c)
∠R = 47°
d)
∠S = 76°
e)
∠S = 58°
f)
∠Q = 47°
(i)
{a,b}
(ii)
{b,d,f}
(iii)
{c,b,d}
(iv)
{c,d}
(v)
{e,a,f}
Question
15
15.
With the data in the figure, △IJL ≅ △KJL by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
16
16.
With the data in the given figure, △OPR ≅ △QRP by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
17
17.
With the data in the given figure, △GHK ≅ △GIJ by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
18
18.
With the given data in the figure, △JKL ≅ △MLK by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
19
19.
With the data in the figure, △NOR ≅ △NPS by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
20
20.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
Question
21
21.
With the given data in the figure, △GHI ≅ △IJG by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
22
22.
With the data in the given figure, △OQP ≅ △PRO by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
23
23.
With the data in the figure, △DEG ≅ △EDF by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
24
24.
With the data in the figure, △JMK ≅ △JML by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
25
25.
In the given figure, which of the following is true?
(i)
△LNO ≅ △LNM
(ii)
△LON ≅ △MNL
(iii)
△LNO ≅ △LMN
(iv)
△LON ≅ △LMN
(v)
△LNO ≅ △NLM
Assignment Key
1) (ii)
2) (iii)
3) (ii)
4) (i)
5) (i)
6) (i)
7) (ii)
8) (ii)
9) (ii)
10) (v)
11) (i)
12) (iv)
13) (i)
14) (ii)
15) (iv)
16) (iii)
17) (ii)
18) (i)
19) (i)
20) (iii)
21) (i)
22) (iv)
23) (ii)
24) (ii)
25) (v)
