EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruency of Triangles
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
Area of the union of two polygonal region is not equal to the sum of the individual area.
b)
A polygonal region can be divided into a finite number of triangles in a unique way.
c)
Area of the union of two polygonal region is the sum of the individual area.
d)
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.
(i)
{b,c,a}
(ii)
{a,d}
(iii)
{c,d}
(iv)
{b,a}
(v)
{b,d,a}
Question
2
2.
With the data in the given figure, △LGH ≅ △KHG by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
3
3.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 3
(iii)
fig 4
(iv)
fig 2
Question
4
4.
With the data in the given figure, △BED ≅ △BCD by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
5
5.
With the data in the figure, △FOG ≅ △IOH by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
6
6.
With the given data in the figure, △FEH ≅ △GDH by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
7
7.
With the data in the figure, △OPS ≅ △OQT by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
8
8.
With the given data in the figure, △RJK ≅ △QKJ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
9
9.
With the data in the given figure, △PHI ≅ △QIH by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
10
10.
In the given figure, △DEF ≅ △TSR. Which of the following are true?
a)
∠S = 63°
b)
∠R = 73°
c)
∠T = 73°
d)
∠R = 63°
e)
∠T = 44°
f)
∠S = 44°
(i)
{b,c,d}
(ii)
{b,d}
(iii)
{e,a,f}
(iv)
{a,c}
(v)
{c,d,f}
Question
11
11.
With the data in the figure, △AOB ≅ △COD by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
12
12.
With the data in the figure, △ADB ≅ △ADC by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
13
13.
With the data in the given figure, △FGI ≅ △FHJ by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
14
14.
With the data in the figure, △DFG ≅ △FDE by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
15
15.
With the data in the figure, △CGF ≅ △DGE by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
16
16.
With the given data in the figure, △CDE ≅ △EFC by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
17
17.
With the data in the figure, △IJL ≅ △MKL by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
18
18.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
Question
19
19.
In the given figure, which of the following is true?
(i)
△BCD ≅ △STR
(ii)
△BCD ≅ △TSR
(iii)
△BCD ≅ △TRS
(iv)
△CDB ≅ △RST
(v)
△BCD ≅ △RST
Question
20
20.
With the data in the figure, △CFD ≅ △CFE by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
21
21.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
Question
22
22.
With the data in the figure, △HKI ≅ △IJH by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
23
23.
With the given data in the figure, △KLM ≅ △NML by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
24
24.
In the given figure, △GEF is an isosceles triangle. DH ⟂ EF passing through G. △DGE ≅ △DGF by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
25
25.
With the data in the given figure, △GHK ≅ △GIJ by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (v)
5) (iii)
6) (i)
7) (ii)
8) (v)
9) (iv)
10) (v)
11) (i)
12) (v)
13) (i)
14) (v)
15) (iii)
16) (ii)
17) (iv)
18) (iv)
19) (v)
20) (iv)
21) (iii)
22) (i)
23) (v)
24) (v)
25) (i)
