EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruency of Triangles
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
With the data in the figure, △ADB ≅ △BCA by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
2
2.
In the given figure, which of the following is true?
(i)
△CFE ≅ △CDE
(ii)
△CEF ≅ △CED
(iii)
△CEF ≅ △ECD
(iv)
△CFE ≅ △DEC
(v)
△CEF ≅ △CDE
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
Question
4
4.
With the data in the given figure, △LMO ≅ △NOM by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
5
5.
With the data in the given figure, △EGF ≅ △FHE by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
6
6.
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)
△MIK ≅ △KLM
b)
△HML ≅ △LKJ
c)
△MIK ≅ △HML
d)
△HML ≅ △KLM
e)
△HML ≅ △KML
(i)
{e,a}
(ii)
{e,b}
(iii)
{e,c}
(iv)
{e,d,a}
(v)
{a,b,c,d}
Question
7
7.
In the given figure, △DEF ≅ △TSR. Which of the following are true?
a)
EF = TS
b)
EF = SR
c)
∠E = ∠S
d)
∠D = ∠R
e)
∠F = ∠R
(i)
{d,c}
(ii)
{a,b,c}
(iii)
{b,c,e}
(iv)
{a,b}
(v)
{a,d,e}
Question
8
8.
With the data in the given figure, △ADO ≅ △BCO by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
9
9.
With the data in the figure, △LMP ≅ △MLQ by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
10
10.
Which of the following are true?
a)
Similar and congruent are not synonymous.
b)
Congruent figures have same area.
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,a,b}
(ii)
{c,a}
(iii)
{a,b,e}
(iv)
{d,b}
(v)
{c,d,e}
Question
11
11.
In the given figure, HIJK is a square and △PHI is an equilateral triangle. △PKH ≅ △PJI by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
12
12.
With the given data in the figure, △MLO ≅ △NKO by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
13
13.
With the data in the given figure, △GJI ≅ △GHI by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
14
14.
In the given figure, △FGH ≅ △UVW. Which of the following are true?
a)
VW = 12 cm
b)
WU = 14 cm
c)
UV = 12 cm
d)
VW = 16 cm
e)
WU = 16 cm
f)
UV = 16 cm
(i)
{a,b,f}
(ii)
{c,a}
(iii)
{e,c,f}
(iv)
{d,a,b}
(v)
{d,b}
Question
15
15.
In the given figure, △CDE ≅ △WVU. Which of the following are true?
a)
∠V = 41°
b)
∠U = 74°
c)
∠U = 64°
d)
∠V = 74°
e)
∠W = 41°
f)
∠W = 64°
(i)
{a,b,f}
(ii)
{d,b}
(iii)
{c,a}
(iv)
{e,c,f}
(v)
{d,a,b}
Question
16
16.
With the data in the figure, △CFD ≅ △DEC by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
17
17.
With the data in the figure, △CDF ≅ △GEF by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
18
18.
With the data in the figure, △HKI ≅ △JKI by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
19
19.
With the data in the figure, △HKI ≅ △JKI by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
20
20.
Which of the following are true?
a)
A circle is a polygonal region.
b)
A semi-circle is a polygonal region.
c)
A triangle is a polygonal region.
d)
A square is a polygonal region.
e)
A sector is a polygonal region.
(i)
{a,c}
(ii)
{e,a,c}
(iii)
{b,d,c}
(iv)
{c,d}
(v)
{b,d}
Question
21
21.
In the given figure, △FDE is an isosceles triangle. CG ⟂ DE passing through F. △CFD ≅ △CFE by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
22
22.
With the data in the given figure, △NOR ≅ △NPQ by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
23
23.
With the data in the figure, △EFH ≅ △FEG by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
24
24.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 2
(iii)
fig 1
(iv)
fig 3
Question
25
25.
With the data in the figure, △BCE ≅ △CBD by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Assignment Key
1) (iv)
2) (iii)
3) (iv)
4) (v)
5) (ii)
6) (v)
7) (iii)
8) (v)
9) (iii)
10) (iii)
11) (ii)
12) (i)
13) (v)
14) (i)
15) (i)
16) (iv)
17) (ii)
18) (i)
19) (v)
20) (iv)
21) (i)
22) (iv)
23) (i)
24) (iv)
25) (v)
