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)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
Question
2
2.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
Question
4
4.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
Question
5
5.
Which of the following are true?
a)
Any two circles are similar.
b)
Any two circles are congruent.
c)
Any two squares are similar.
d)
Any two triangles are similar.
e)
Any two triangles are congruent.
f)
Any two squares are congruent.
(i)
{b,a}
(ii)
{d,c}
(iii)
{a,c}
(iv)
{b,c,a}
(v)
{e,f,a}
Question
6
6.
Which of the following are true?
a)
A circle is a polygonal region.
b)
A square is a polygonal region.
c)
A sector is a polygonal region.
d)
A semi-circle is a polygonal region.
e)
A triangle is a polygonal region.
(i)
{c,e,b}
(ii)
{d,a,b}
(iii)
{a,b}
(iv)
{b,e}
(v)
{c,e}
Question
7
7.
Which of the following are true?
a)
Similar and congruent are not synonymous.
b)
Similar figures have same area.
c)
If two figures are similar, then they are congruent too.
d)
Congruent figures have same area.
e)
If two figures are congruent, then they are similar too.
(i)
{b,c,e}
(ii)
{b,a,d}
(iii)
{b,a}
(iv)
{c,d}
(v)
{a,d,e}
Question
8
8.
In the given figure, points G , H and I are the mid-points of sides EF, FD and DE of △DEF. Which of the following are true?
a)
△DIH ≅ △GIH
b)
△IEG ≅ △GHI
c)
△IEG ≅ △DIH
d)
△DIH ≅ △HGF
e)
△DIH ≅ △GHI
(i)
{a,b}
(ii)
{a,d}
(iii)
{a,e,b}
(iv)
{b,c,d,e}
(v)
{a,c}
Question
9
9.
In the given figure, which of the following is true?
(i)
△CDE ≅ △TSR
(ii)
△CDE ≅ △TRS
(iii)
△CDE ≅ △STR
(iv)
△DEC ≅ △RST
(v)
△CDE ≅ △RST
Question
10
10.
In the given figure, △BCD ≅ △RQP. Which of the following are true?
a)
CD = RQ
b)
∠B = ∠P
c)
∠C = ∠Q
d)
CD = QP
e)
∠D = ∠P
(i)
{a,c,d}
(ii)
{c,d,e}
(iii)
{a,b,e}
(iv)
{b,d}
(v)
{a,c}
Question
11
11.
In the given figure, △FGH ≅ △UTS. Which of the following are true?
a)
∠T = 73°
b)
∠S = 51°
c)
∠U = 57°
d)
∠T = 57°
e)
∠S = 73°
f)
∠U = 51°
(i)
{a,d}
(ii)
{d,e,f}
(iii)
{b,d,e}
(iv)
{b,e}
(v)
{c,a,f}
Question
12
12.
In the given figure, △ABC ≅ △STU. Which of the following are true?
a)
US = 16 cm
b)
ST = 14 cm
c)
ST = 15 cm
d)
TU = 15 cm
e)
TU = 14 cm
f)
US = 14 cm
(i)
{a,b,d}
(ii)
{f,c,d}
(iii)
{c,a}
(iv)
{e,b}
(v)
{e,a,b}
Question
13
13.
In the given figure, which of the following is true?
(i)
△FHI ≅ △FHG
(ii)
△FIH ≅ △FGH
(iii)
△FHI ≅ △HFG
(iv)
△FHI ≅ △FGH
(v)
△FIH ≅ △GHF
Question
14
14.
With the data in the given figure, △ABD ≅ △ACD by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
15
15.
With the data in the given figure, △OIH ≅ △OGF by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
16
16.
With the given data in the figure, △FEH ≅ △GDH by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
17
17.
With the given data in the figure, △ABC ≅ △CDA by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
18
18.
With the given data in the figure, △DEF ≅ △GFE by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
19
19.
With the given data in the figure, △SGH ≅ △RHG by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
20
20.
With the data in the given figure, △ILO ≅ △JKO by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
21
21.
With the data in the given figure, △ILK ≅ △IJK by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
22
22.
With the data in the given figure, △MHI ≅ △LIH by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
23
23.
With the data in the given figure, △SJK ≅ △TKJ by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
24
24.
In the given figure, △HFG is an isosceles triangle. EI ⟂ FG passing through H. △EHF ≅ △EHG by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
25
25.
In the given figure, LMNO is a square and △QLM is an equilateral triangle. △QOL ≅ △QNM by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
26
26.
With the data in the given figure, △ABD ≅ △ACE by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
27
27.
With the data in the given figure, △FIG ≅ △FIH by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
28
28.
With the data in the given figure, △NPO ≅ △OQN by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
29
29.
With the data in the given figure, △MNQ ≅ △MOP by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
30
30.
In the given figure, △HIJ is an obtuse angled triangle. △HIK ≅ △JIK by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
31
31.
With the data in the given figure, △COD ≅ △COE by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
32
32.
With the data in the figure, △KNL ≅ △MNL by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
33
33.
With the data in the figure, △DGE ≅ △DGF by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
34
34.
With the data in the figure, △JMK ≅ △LMK by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
35
35.
With the data in the figure, △JKM ≅ △JLM by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
36
36.
With the data in the figure, △MPN ≅ △NOM by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
37
37.
With the data in the figure, △ADB ≅ △ADC by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
38
38.
With the data in the figure, △HOI ≅ △KOJ by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
39
39.
With the data in the figure, △DEG ≅ △EDF by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
40
40.
With the data in the figure, △GIJ ≅ △IGH by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
41
41.
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
42
42.
With the data in the figure, △CFD ≅ △DEC by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
43
43.
With the data in the figure, △AOB ≅ △COD 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, △IOJ ≅ △KOL by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
45
45.
With the data in the figure, △BCE ≅ △CBD by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
46
46.
With the data in the figure, △GHJ ≅ △KIJ by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
47
47.
With the data in the figure, △HIK ≅ △JIK by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
48
48.
With the data in the figure, △CDG ≅ △DCH by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
49
49.
With the data in the figure, △ACD ≅ △ACB by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
50
50.
With the data in the figure, △AED ≅ △BEC by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
51
51.
With the data in the figure, △OPS ≅ △OQT by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
52
52.
With the data in the given figure, △LMO ≅ △NMO by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
53
53.
With the data in the given figure, △NOQ ≅ △ONP by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
54
54.
With the data in the given figure, △MNP ≅ △OPN by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
55
55.
With the data in the given figure, △PQS ≅ △RQS by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
56
56.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 1
(iii)
fig 2
(iv)
fig 4
Question
57
57.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 1
(iii)
fig 3
(iv)
fig 2
Question
58
58.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 1
(iii)
fig 2
(iv)
fig 3
Assignment Key
1) (iv)
2) (i)
3) (iv)
4) (iii)
5) (iii)
6) (iv)
7) (v)
8) (iv)
9) (v)
10) (ii)
11) (ii)
12) (i)
13) (iii)
14) (i)
15) (i)
16) (v)
17) (iii)
18) (iv)
19) (i)
20) (iii)
21) (v)
22) (iii)
23) (iii)
24) (v)
25) (ii)
26) (i)
27) (i)
28) (iii)
29) (ii)
30) (iii)
31) (i)
32) (v)
33) (ii)
34) (v)
35) (v)
36) (iii)
37) (i)
38) (iv)
39) (i)
40) (ii)
41) (ii)
42) (i)
43) (ii)
44) (i)
45) (v)
46) (i)
47) (ii)
48) (v)
49) (iii)
50) (iii)
51) (iii)
52) (iii)
53) (i)
54) (ii)
55) (ii)
56) (iv)
57) (iii)
58) (i)
