EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruency of Triangles
Grade : ICSE 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 given data in the figure, △LKN ≅ △MJN by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
3
3.
With the data in the figure, △FIG ≅ △GHF by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
4
4.
With the data in the given figure, △JKN ≅ △JLM by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
5
5.
With the data in the figure, △KLN ≅ △LKM by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
6
6.
With the data in the figure, △FGI ≅ △HGI by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
7
7.
With the given data in the figure, △KLM ≅ △NML by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
8
8.
With the data in the given figure, △LMO ≅ △NMO by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
9
9.
With the data in the figure, △BDE ≅ △DBC by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
10
10.
With the data in the figure, △KLN ≅ △KMN 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 figure, △LOM ≅ △LON by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
12
12.
With the data in the figure, △FIG ≅ △HIG by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
13
13.
With the data in the figure, △JMK ≅ △JML by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
14
14.
In the given figure, △ABC ≅ △TUV. Which of the following are true?
a)
TU = 14 cm
b)
UV = 11 cm
c)
UV = 14 cm
d)
VT = 11 cm
e)
VT = 15 cm
f)
TU = 11 cm
(i)
{a,c}
(ii)
{b,c,e}
(iii)
{b,e}
(iv)
{c,e,f}
(v)
{d,a,f}
Question
15
15.
With the data in the given figure, △HKI ≅ △HKJ by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
16
16.
With the data in the given figure, △PQS ≅ △RSQ by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
17
17.
Which of the following are true?
a)
Area of the union of two polygonal region is the sum of the individual area.
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 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,d}
(ii)
{a,c,b}
(iii)
{a,b}
(iv)
{c,d}
(v)
{a,d,b}
Question
18
18.
In the given figure, △EFG ≅ △SRQ. Which of the following are true?
a)
∠F = ∠R
b)
FG = SR
c)
FG = RQ
d)
∠G = ∠Q
e)
∠E = ∠Q
(i)
{b,a,c}
(ii)
{b,a}
(iii)
{b,e,d}
(iv)
{a,c,d}
(v)
{e,c}
Question
19
19.
With the data in the given figure, △LMO ≅ △NMO by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
20
20.
With the data in the given figure, △QLM ≅ △PML by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
21
21.
In the given figure, which of the following is true?
(i)
△EFG ≅ △TSR
(ii)
△EFG ≅ △RST
(iii)
△EFG ≅ △TRS
(iv)
△EFG ≅ △STR
(v)
△FGE ≅ △RST
Question
22
22.
With the data in the given figure, △AOB ≅ △AOC by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
23
23.
With the data in the given figure, △TFG ≅ △UGF by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
24
24.
Which of the following are true?
a)
If two figures are congruent, then they are similar too.
b)
Congruent figures have same area.
c)
Similar and congruent are not synonymous.
d)
If two figures are similar, then they are congruent too.
e)
Similar figures have same area.
(i)
{d,e,c}
(ii)
{a,b,c}
(iii)
{d,a}
(iv)
{e,b}
(v)
{d,a,b}
Question
25
25.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
Assignment Key
1) (iii)
2) (iii)
3) (iii)
4) (ii)
5) (i)
6) (iv)
7) (iv)
8) (v)
9) (i)
10) (iv)
11) (v)
12) (iv)
13) (iii)
14) (iv)
15) (i)
16) (i)
17) (i)
18) (iv)
19) (ii)
20) (iii)
21) (ii)
22) (iii)
23) (iii)
24) (ii)
25) (iv)
