EduSahara™ Assignment
Name : Congruency of Triangles
Chapter : Congruence of Triangles
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
Question
2
2.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS 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)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
Question
5
5.
Which of the following are true?
a)
Any two triangles are similar.
b)
Any two circles are congruent.
c)
Any two circles are similar.
d)
Any two squares are congruent.
e)
Any two triangles are congruent.
f)
Any two squares are similar.
(i)
{d,e,c}
(ii)
{c,f}
(iii)
{b,f}
(iv)
{a,f,c}
(v)
{a,c}
Question
6
6.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A circle is a polygonal region.
c)
A triangle is a polygonal region.
d)
A sector is a polygonal region.
e)
A square is a polygonal region.
(i)
{c,e}
(ii)
{a,c}
(iii)
{b,e}
(iv)
{b,e,c}
(v)
{d,a,c}
Question
7
7.
Which of the following are true?
a)
Congruent figures have same area.
b)
If two figures are similar, then they are congruent too.
c)
Similar figures have same area.
d)
If two figures are congruent, then they are similar too.
e)
Similar and congruent are not synonymous.
(i)
{c,d}
(ii)
{a,d,e}
(iii)
{b,c,e}
(iv)
{b,a}
(v)
{b,a,d}
Question
8
8.
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)
△EJI ≅ △HIJ
b)
△JFH ≅ △EJI
c)
△JFH ≅ △HIJ
d)
△EJI ≅ △IHG
e)
△EJI ≅ △HJI
(i)
{e,d,a}
(ii)
{e,a}
(iii)
{e,c}
(iv)
{a,b,c,d}
(v)
{e,b}
Question
9
9.
In the given figure, which of the following is true?
(i)
△CDE ≅ △TUS
(ii)
△DEC ≅ △STU
(iii)
△CDE ≅ △STU
(iv)
△CDE ≅ △UST
(v)
△CDE ≅ △UTS
Question
10
10.
In the given figure, △ABC ≅ △RQP. Which of the following are true?
a)
BC = RQ
b)
∠A = ∠P
c)
∠B = ∠Q
d)
BC = QP
e)
∠C = ∠P
(i)
{a,c}
(ii)
{a,c,d}
(iii)
{b,d}
(iv)
{a,b,e}
(v)
{c,d,e}
Question
11
11.
In the given figure, △DEF ≅ △VUT. Which of the following are true?
a)
∠V = 57°
b)
∠U = 73°
c)
∠T = 57°
d)
∠V = 51°
e)
∠T = 73°
f)
∠U = 51°
(i)
{a,e,f}
(ii)
{c,e}
(iii)
{c,a,e}
(iv)
{d,b,f}
(v)
{b,a}
Question
12
12.
In the given figure, △DEF ≅ △UVW. Which of the following are true?
a)
VW = 11 cm
b)
UV = 11 cm
c)
UV = 13 cm
d)
WU = 12 cm
e)
WU = 13 cm
f)
VW = 13 cm
(i)
{b,a}
(ii)
{e,a,c}
(iii)
{e,c}
(iv)
{a,c,d}
(v)
{f,b,d}
Question
13
13.
In the given figure, which of the following is true?
(i)
△ACD ≅ △ABC
(ii)
△ADC ≅ △ABC
(iii)
△ACD ≅ △CAB
(iv)
△ACD ≅ △ACB
(v)
△ADC ≅ △BCA
Question
14
14.
With the data in the given figure, △ABD ≅ △ACD by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
15
15.
With the data in the given figure, △OFE ≅ △ODC by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
16
16.
With the given data in the figure, △EDG ≅ △FCG by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
17
17.
With the given data in the figure, △LMN ≅ △NOL by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
18
18.
With the given data in the figure, △LMN ≅ △ONM by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
19
19.
With the given data in the figure, △QFG ≅ △PGF by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
20
20.
With the data in the given figure, △EHO ≅ △FGO by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
21
21.
With the data in the given figure, △CFE ≅ △CDE by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
22
22.
With the data in the given figure, △NIJ ≅ △MJI by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
23
23.
With the data in the given figure, △QCD ≅ △RDC by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
24
24.
In the given figure, △JHI is an isosceles triangle. GK ⟂ HI passing through J. △GJH ≅ △GJI by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
25
25.
In the given figure, JKLM is a square and △SJK is an equilateral triangle. △SMJ ≅ △SLK by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
26
26.
With the data in the given figure, △JKM ≅ △JLN by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
27
27.
With the data in the given figure, △ADB ≅ △ADC by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
28
28.
With the data in the given figure, △GIH ≅ △HJG by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
29
29.
With the data in the given figure, △NOR ≅ △NPQ by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
30
30.
In the given figure, △IJK is an obtuse angled triangle. △IJL ≅ △KJL by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
31
31.
With the data in the given figure, △GOH ≅ △GOI by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
32
32.
With the data in the figure, △LOM ≅ △NOM by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
33
33.
With the data in the figure, △LOM ≅ △LON by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
34
34.
With the data in the figure, △CFD ≅ △EFD by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
35
35.
With the data in the figure, △BCE ≅ △BDE by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
36
36.
With the data in the figure, △CFD ≅ △DEC by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
37
37.
With the data in the figure, △DGE ≅ △DGF by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
38
38.
With the data in the figure, △FOG ≅ △IOH by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
39
39.
With the data in the figure, △GHJ ≅ △HGI by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
40
40.
With the data in the figure, △ACD ≅ △CAB by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
41
41.
With the data in the figure, △DGE ≅ △DGF by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
42
42.
With the data in the figure, △FIG ≅ △GHF by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
43
43.
With the data in the figure, △IOJ ≅ △KOL by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
44
44.
With the data in the figure, △HOI ≅ △JOK by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
45
45.
With the data in the figure, △KLN ≅ △LKM by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
46
46.
With the data in the figure, △HIK ≅ △LJK 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, △JKM ≅ △LKM by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
48
48.
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
49
49.
With the data in the figure, △FHI ≅ △FHG by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
50
50.
With the data in the figure, △FJI ≅ △GJH by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
51
51.
With the data in the figure, △LMP ≅ △LNQ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
52
52.
With the data in the given figure, △LMO ≅ △NMO by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
53
53.
With the data in the given figure, △NOQ ≅ △ONP by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
54
54.
With the data in the given figure, △PQS ≅ △RSQ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
55
55.
With the data in the given figure, △NOQ ≅ △POQ by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
56
56.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 4
(iii)
fig 1
(iv)
fig 2
Question
57
57.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 1
(iii)
fig 3
(iv)
fig 4
Question
58
58.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 1
(iii)
fig 4
(iv)
fig 3
Assignment Key
1) (iv)
2) (ii)
3) (iii)
4) (i)
5) (ii)
6) (i)
7) (ii)
8) (iv)
9) (iii)
10) (v)
11) (i)
12) (iv)
13) (iii)
14) (iv)
15) (v)
16) (ii)
17) (iv)
18) (i)
19) (iv)
20) (i)
21) (iii)
22) (v)
23) (ii)
24) (i)
25) (iv)
26) (i)
27) (ii)
28) (iii)
29) (ii)
30) (iii)
31) (iii)
32) (iii)
33) (iii)
34) (ii)
35) (iv)
36) (i)
37) (iii)
38) (iv)
39) (v)
40) (i)
41) (i)
42) (iv)
43) (i)
44) (iv)
45) (v)
46) (iii)
47) (iii)
48) (v)
49) (ii)
50) (i)
51) (iv)
52) (ii)
53) (v)
54) (iv)
55) (v)
56) (i)
57) (ii)
58) (i)