EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruency of Triangles
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
Question
2
2.
With the data in the figure, △DEG ≅ △EDF by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
3
3.
With the data in the figure, △ABD ≅ △ACD by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
4
4.
With the data in the given figure, △AOB ≅ △AOC by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
5
5.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
Question
6
6.
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 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 not equal to the sum of the individual area.
(i)
{b,d,a}
(ii)
{b,c,a}
(iii)
{b,a}
(iv)
{a,d}
(v)
{c,d}
Question
7
7.
With the data in the given figure, △EFH ≅ △EGH by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
8
8.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 4
(iii)
fig 3
(iv)
fig 2
Question
9
9.
In the given figure, which of the following is true?
(i)
△EGH ≅ △EGF
(ii)
△EHG ≅ △FGE
(iii)
△EGH ≅ △EFG
(iv)
△EGH ≅ △GEF
(v)
△EHG ≅ △EFG
Question
10
10.
With the data in the given figure, △EFI ≅ △EGH by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
11
11.
With the given data in the figure, △RGH ≅ △QHG by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
12
12.
With the data in the figure, △GHK ≅ △HGL by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
13
13.
With the data in the given figure, △JKM ≅ △JLN by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
14
14.
With the data in the given figure, △CFO ≅ △DEO by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
15
15.
With the data in the given figure, △PQS ≅ △RQS by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
16
16.
With the data in the given figure, △PKL ≅ △OLK by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
17
17.
With the data in the figure, △BCE ≅ △DCE by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
18
18.
In the given figure, △HFG is an isosceles triangle. EI ⟂ FG passing through H. △EHF ≅ △EHG by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
19
19.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
Question
20
20.
With the data in the figure, △CFD ≅ △CFE by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
21
21.
With the data in the figure, △FIG ≅ △HIG by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
22
22.
In the given figure, △DEF ≅ △SRQ. Which of the following are true?
a)
∠S = 58°
b)
∠Q = 58°
c)
∠S = 77°
d)
∠R = 46°
e)
∠Q = 46°
f)
∠R = 77°
(i)
{a,e,f}
(ii)
{c,a,e}
(iii)
{d,b,f}
(iv)
{b,a}
(v)
{c,e}
Question
23
23.
With the data in the figure, △KLO ≅ △KMP by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
24
24.
With the given data in the figure, △KJM ≅ △LIM by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
25
25.
With the data in the given figure, △DGF ≅ △DEF by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Assignment Key
1) (i)
2) (iv)
3) (iv)
4) (v)
5) (ii)
6) (iv)
7) (iv)
8) (iii)
9) (iv)
10) (ii)
11) (i)
12) (iii)
13) (v)
14) (iv)
15) (iii)
16) (iii)
17) (v)
18) (ii)
19) (ii)
20) (i)
21) (i)
22) (i)
23) (v)
24) (iv)
25) (ii)
