EduSahara™ Assignment
Name : Congruence of Triangles
Chapter : Triangles
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
Question
2
2.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
Question
4
4.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
Question
5
5.
Which of the following are true?
a)
Any two circles are congruent.
b)
Any two squares are congruent.
c)
Any two triangles are congruent.
d)
Any two triangles are similar.
e)
Any two circles are similar.
f)
Any two squares are similar.
(i)
{b,f}
(ii)
{a,f,e}
(iii)
{e,f}
(iv)
{a,e}
(v)
{c,d,e}
Question
6
6.
Which of the following are true?
a)
A triangle is a polygonal region.
b)
A semi-circle is a polygonal region.
c)
A sector is a polygonal region.
d)
A circle is a polygonal region.
e)
A square is a polygonal region.
(i)
{b,a}
(ii)
{c,e}
(iii)
{c,e,a}
(iv)
{a,e}
(v)
{d,b,a}
Question
7
7.
Which of the following are true?
a)
If two figures are congruent, then they are similar too.
b)
If two figures are similar, then they are congruent too.
c)
Similar and congruent are not synonymous.
d)
Similar figures have same area.
e)
Congruent figures have same area.
(i)
{b,d,e}
(ii)
{b,a,c}
(iii)
{a,c,e}
(iv)
{b,a}
(v)
{d,c}
Question
8
8.
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)
{c,d}
(ii)
{a,d,b}
(iii)
{a,b}
(iv)
{a,c,b}
(v)
{b,d}
Question
9
9.
In the given figure, the area of the △KLM is x sq.cm. N,O,P are the mid-points of the sides LM , MK and KL respectively. The area of the △NOP is
(i)
1
2
of area of △KLM
(ii)
2
3
of area of △KLM
(iii)
3
4
of area of △KLM
(iv)
1
4
of area of △KLM
(v)
1
3
of area of △KLM
Question
10
10.
If the ratio of the bases of two triangles is K : L and the ratio of the corresponding heights is M : N , the ratio of their areas in the same order is
(i)
KL : MN
(ii)
MN : KL
(iii)
KM : LN
(iv)
LM : KN
(v)
KN : LM
Question
11
11.
In the given figure, points L , M and N are the mid-points of sides JK, KI and IJ of △IJK. Which of the following are true?
a)
Area of △IJK = 4 times area of △LMN
b)
All four small triangles have equal areas
c)
Area of
△IJK
=
1
3
area of
△LMN
d)
Area of trapezium
JKMN
is
1
4
the area of
△IJK
e)
Area of trapezium JKMN is thrice the area of △INM
(i)
{d,b}
(ii)
{a,b,e}
(iii)
{c,a}
(iv)
{c,a,b}
(v)
{c,d,e}
Question
12
12.
In the given figure, points F , G and H are the mid-points of sides DE, EC and CD of △CDE. Which of the following are true?
a)
△HDF ≅ △FGH
b)
△CHG ≅ △FGH
c)
△CHG ≅ △FHG
d)
△CHG ≅ △GFE
e)
△HDF ≅ △CHG
(i)
{c,b}
(ii)
{c,e,a}
(iii)
{c,a}
(iv)
{c,d}
(v)
{a,b,d,e}
Question
13
13.
In the given figure, which of the following is true?
(i)
△EFG ≅ △UVT
(ii)
△EFG ≅ △VUT
(iii)
△EFG ≅ △VTU
(iv)
△FGE ≅ △TUV
(v)
△EFG ≅ △TUV
Question
14
14.
In the given figure, △EFG ≅ △TSR. Which of the following are true?
a)
∠S = 51°
b)
∠R = 73°
c)
∠R = 57°
d)
∠S = 73°
e)
∠T = 51°
f)
∠T = 57°
(i)
{c,a}
(ii)
{a,b,f}
(iii)
{d,b}
(iv)
{e,c,f}
(v)
{d,a,b}
Question
15
15.
In the given figure, △CDE ≅ △QRS. Which of the following are true?
a)
QR = 13 cm
b)
SQ = 12 cm
c)
RS = 15 cm
d)
SQ = 15 cm
e)
RS = 13 cm
f)
QR = 15 cm
(i)
{c,b,e}
(ii)
{d,a,f}
(iii)
{a,b}
(iv)
{c,e}
(v)
{b,e,f}
Question
16
16.
In the given figure, which of the following is true?
(i)
△JML ≅ △JKL
(ii)
△JLM ≅ △LJK
(iii)
△JML ≅ △KLJ
(iv)
△JLM ≅ △JKL
(v)
△JLM ≅ △JLK
Question
17
17.
With the data in the given figure, △GHJ ≅ △GIJ by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
18
18.
With the data in the given figure, △OGF ≅ △OED by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
19
19.
With the given data in the figure, △FEH ≅ △GDH by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
20
20.
With the given data in the figure, △JKL ≅ △LMJ by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
21
21.
With the given data in the figure, △FGH ≅ △IHG by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
22
22.
With the given data in the figure, △VDE ≅ △UED by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
23
23.
With the data in the given figure, △ADO ≅ △BCO by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
24
24.
With the data in the given figure, △ADC ≅ △ABC by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
25
25.
With the data in the given figure, △JEF ≅ △IFE by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
26
26.
With the data in the given figure, △UJK ≅ △VKJ by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
27
27.
In the given figure, △JHI is an isosceles triangle. GK ⟂ HI passing through J. △GJH ≅ △GJI by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
28
28.
In the given figure, HIJK is a square and △PHI is an equilateral triangle. △PKH ≅ △PJI by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
29
29.
With the data in the given figure, △JKM ≅ △JLN by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
30
30.
With the data in the given figure, △HKI ≅ △HKJ by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
31
31.
With the data in the given figure, △MON ≅ △NPM by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
32
32.
With the data in the given figure, △KLO ≅ △KMN by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
33
33.
In the given figure, △BCD is an obtuse angled triangle. △BCE ≅ △DCE by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
34
34.
With the data in the given figure, △COD ≅ △COE by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
35
35.
With the data in the figure, △EHF ≅ △GHF by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
36
36.
With the data in the figure, △HKI ≅ △HKJ by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
37
37.
With the data in the figure, △BEC ≅ △DEC by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
38
38.
With the data in the figure, △HIK ≅ △HJK by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
39
39.
With the data in the figure, △DGE ≅ △EFD by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
40
40.
With the data in the figure, △EHF ≅ △EHG by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
41
41.
With the data in the figure, △FOG ≅ △IOH by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
42
42.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
43
43.
With the data in the figure, △DFG ≅ △FDE by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
44
44.
With the data in the figure, △BEC ≅ △BED by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
45
45.
With the data in the figure, △ADB ≅ △BCA by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
46
46.
With the data in the figure, △AOB ≅ △COD by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
47
47.
With the data in the figure, △DOE ≅ △FOG by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
48
48.
With the data in the figure, △FGI ≅ △GFH by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
49
49.
With the data in the figure, △DEG ≅ △HFG by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
50
50.
With the data in the figure, △FGI ≅ △HGI by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
51
51.
With the data in the figure, △IJM ≅ △JIN by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
52
52.
With the data in the figure, △GIJ ≅ △GIH by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
53
53.
With the data in the figure, △CGF ≅ △DGE by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
54
54.
With the data in the figure, △OPS ≅ △OQT by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
55
55.
With the data in the given figure, △OPR ≅ △QPR by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
56
56.
With the data in the given figure, △LMO ≅ △MLN by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
57
57.
With the data in the given figure, △MNP ≅ △OPN by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
58
58.
With the data in the given figure, △NOQ ≅ △POQ by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
59
59.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 3
(iii)
fig 1
(iv)
fig 4
Question
60
60.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 3
(iii)
fig 1
(iv)
fig 4
Question
61
61.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 2
(iii)
fig 1
(iv)
fig 4
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (iii)
5) (iii)
6) (iv)
7) (iii)
8) (v)
9) (iv)
10) (iii)
11) (ii)
12) (v)
13) (v)
14) (ii)
15) (v)
16) (ii)
17) (v)
18) (iv)
19) (i)
20) (iv)
21) (ii)
22) (iii)
23) (i)
24) (iv)
25) (ii)
26) (i)
27) (v)
28) (i)
29) (v)
30) (iii)
31) (iv)
32) (iv)
33) (ii)
34) (v)
35) (v)
36) (ii)
37) (iv)
38) (iv)
39) (ii)
40) (ii)
41) (ii)
42) (ii)
43) (ii)
44) (iv)
45) (i)
46) (iii)
47) (iii)
48) (i)
49) (iii)
50) (i)
51) (v)
52) (iv)
53) (iv)
54) (iii)
55) (ii)
56) (iii)
57) (v)
58) (iv)
59) (ii)
60) (iii)
61) (i)
