EduSahara™ Assignment
Name : Congruence of Triangles
Chapter : Triangles
Grade : CBSE 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)
RHS Congruency
(iv)
ASA 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)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
Question
5
5.
Which of the following are true?
a)
Any two circles are similar.
b)
Any two squares are congruent.
c)
Any two circles are congruent.
d)
Any two triangles are similar.
e)
Any two squares are similar.
f)
Any two triangles are congruent.
(i)
{b,a}
(ii)
{d,f,a}
(iii)
{c,e}
(iv)
{b,e,a}
(v)
{a,e}
Question
6
6.
Which of the following are true?
a)
A triangle is a polygonal region.
b)
A square is a polygonal region.
c)
A semi-circle is a polygonal region.
d)
A circle is a polygonal region.
e)
A sector is a polygonal region.
(i)
{d,b}
(ii)
{c,a}
(iii)
{e,c,a}
(iv)
{a,b}
(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)
Congruent figures have same area.
c)
If two figures are similar, then they are congruent too.
d)
Similar and congruent are not synonymous.
e)
Similar figures have same area.
(i)
{a,b,d}
(ii)
{c,a,b}
(iii)
{c,a}
(iv)
{e,b}
(v)
{c,e,d}
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 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.
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)
{a,d,b}
(ii)
{a,c,b}
(iii)
{b,d}
(iv)
{c,d}
(v)
{a,b}
Question
9
9.
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 trapezium
JKMN
is
1
4
the area of
△IJK
b)
All four small triangles have equal areas
c)
Area of trapezium JKMN is thrice the area of △INM
d)
Area of
△IJK
=
1
3
area of
△LMN
e)
Area of △IJK = 4 times area of △LMN
(i)
{b,c,e}
(ii)
{d,c}
(iii)
{a,d,e}
(iv)
{a,b,c}
(v)
{a,b}
Question
10
10.
In the given figure, points H , I and J are the mid-points of sides FG, GE and EF of △EFG. Which of the following are true?
a)
△JFH ≅ △HIJ
b)
△EJI ≅ △HIJ
c)
△JFH ≅ △EJI
d)
△EJI ≅ △HJI
e)
△EJI ≅ △IHG
(i)
{d,b}
(ii)
{d,c}
(iii)
{a,b,c,e}
(iv)
{d,e,a}
(v)
{d,a}
Question
11
11.
In the given figure, which of the following is true?
(i)
△EFD ≅ △PQR
(ii)
△DEF ≅ △PQR
(iii)
△DEF ≅ △RPQ
(iv)
△DEF ≅ △QRP
(v)
△DEF ≅ △RQP
Question
12
12.
In the given figure, △EFG ≅ △UTS. Which of the following are true?
a)
∠F = ∠T
b)
FG = UT
c)
∠E = ∠S
d)
∠G = ∠S
e)
FG = TS
(i)
{a,d,e}
(ii)
{b,a,d}
(iii)
{c,d}
(iv)
{b,c,e}
(v)
{b,a}
Question
13
13.
In the given figure, △FGH ≅ △WVU. Which of the following are true?
a)
∠U = 57°
b)
∠V = 73°
c)
∠V = 51°
d)
∠W = 51°
e)
∠W = 57°
f)
∠U = 73°
(i)
{c,e,f}
(ii)
{b,e}
(iii)
{d,a,f}
(iv)
{a,c}
(v)
{b,c,e}
Question
14
14.
In the given figure, △ABC ≅ △UVW. Which of the following are true?
a)
UV = 16 cm
b)
WU = 15 cm
c)
WU = 11 cm
d)
VW = 16 cm
e)
VW = 11 cm
f)
UV = 11 cm
(i)
{c,b,d}
(ii)
{a,b}
(iii)
{b,d,f}
(iv)
{c,d}
(v)
{e,a,f}
Question
15
15.
In the given figure, which of the following is true?
(i)
△CEF ≅ △CED
(ii)
△CFE ≅ △CDE
(iii)
△CEF ≅ △ECD
(iv)
△CEF ≅ △CDE
(v)
△CFE ≅ △DEC
Question
16
16.
With the data in the given figure, △FGI ≅ △FHI by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
17
17.
With the data in the given figure, △OFE ≅ △ODC by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
18
18.
With the given data in the figure, △IHK ≅ △JGK by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
19
19.
With the given data in the figure, △GHI ≅ △IJG by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
20
20.
With the given data in the figure, △FGH ≅ △IHG by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
21
21.
With the given data in the figure, △UGH ≅ △THG by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
22
22.
With the data in the given figure, △EHO ≅ △FGO by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
23
23.
With the data in the given figure, △DGF ≅ △DEF by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
24
24.
With the data in the given figure, △TOP ≅ △SPO by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
25
25.
With the data in the given figure, △RJK ≅ △SKJ by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
26
26.
In the given figure, △ECD is an isosceles triangle. BF ⟂ CD passing through E. △BEC ≅ △BED by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
27
27.
In the given figure, IJKL is a square and △RIJ is an equilateral triangle. △RLI ≅ △RKJ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
28
28.
With the data in the given figure, △ABD ≅ △ACE by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
29
29.
With the data in the given figure, △DGE ≅ △DGF by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
30
30.
With the data in the given figure, △LNM ≅ △MOL by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
31
31.
With the data in the given figure, △KLO ≅ △KMN by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
32
32.
In the given figure, △BCD is an obtuse angled triangle. △BCE ≅ △DCE by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
33
33.
With the data in the given figure, △AOB ≅ △AOC by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
34
34.
With the data in the figure, △BEC ≅ △DEC by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
35
35.
With the data in the figure, △HKI ≅ △HKJ by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
36
36.
With the data in the figure, △FIG ≅ △HIG by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
37
37.
With the data in the figure, △JKM ≅ △JLM by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
38
38.
With the data in the figure, △LOM ≅ △MNL by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
39
39.
With the data in the figure, △DGE ≅ △DGF by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
40
40.
With the data in the figure, △EOF ≅ △HOG by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
41
41.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
42
42.
With the data in the figure, △DFG ≅ △FDE by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
43
43.
With the data in the figure, △EHF ≅ △EHG by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
44
44.
With the data in the figure, △FIG ≅ △GHF by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
45
45.
With the data in the figure, △AOB ≅ △COD by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
46
46.
With the data in the figure, △FOG ≅ △HOI by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
47
47.
With the data in the figure, △DEG ≅ △EDF by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
48
48.
With the data in the figure, △CDF ≅ △GEF by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
49
49.
With the data in the figure, △CDF ≅ △EDF by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
50
50.
With the data in the figure, △DEH ≅ △EDI by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
51
51.
With the data in the figure, △FHI ≅ △FHG by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
52
52.
With the data in the figure, △FJI ≅ △GJH by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
53
53.
With the data in the figure, △KLO ≅ △KMP by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
54
54.
With the data in the given figure, △PQS ≅ △RQS by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
55
55.
With the data in the given figure, △PQS ≅ △QPR by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
56
56.
With the data in the given figure, △OPR ≅ △QRP by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
57
57.
With the data in the given figure, △NOQ ≅ △POQ by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
58
58.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 2
(iii)
fig 3
(iv)
fig 1
Question
59
59.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 3
(iii)
fig 1
(iv)
fig 2
Question
60
60.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 3
(iii)
fig 2
(iv)
fig 4
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (i)
5) (v)
6) (iv)
7) (i)
8) (iii)
9) (i)
10) (iii)
11) (ii)
12) (i)
13) (i)
14) (iii)
15) (iii)
16) (ii)
17) (i)
18) (i)
19) (iii)
20) (v)
21) (i)
22) (iv)
23) (ii)
24) (ii)
25) (iv)
26) (v)
27) (i)
28) (i)
29) (iii)
30) (i)
31) (iii)
32) (iii)
33) (iv)
34) (ii)
35) (i)
36) (i)
37) (iii)
38) (i)
39) (ii)
40) (iv)
41) (v)
42) (ii)
43) (iii)
44) (ii)
45) (iii)
46) (iv)
47) (ii)
48) (ii)
49) (iii)
50) (iv)
51) (iv)
52) (iii)
53) (i)
54) (v)
55) (iii)
56) (iii)
57) (iii)
58) (iv)
59) (iii)
60) (iii)
