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)
SSS Congruency
(iii)
SAS 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)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
Question
4
4.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
Question
5
5.
Which of the following are true?
a)
Any two squares are congruent.
b)
Any two circles are similar.
c)
Any two triangles are congruent.
d)
Any two triangles are similar.
e)
Any two circles are congruent.
f)
Any two squares are similar.
(i)
{d,e,b}
(ii)
{c,f}
(iii)
{a,b}
(iv)
{a,f,b}
(v)
{b,f}
Question
6
6.
Which of the following are true?
a)
A square is a polygonal region.
b)
A triangle is a polygonal region.
c)
A circle is a polygonal region.
d)
A semi-circle is a polygonal region.
e)
A sector is a polygonal region.
(i)
{e,c,a}
(ii)
{c,a}
(iii)
{d,b}
(iv)
{d,b,a}
(v)
{a,b}
Question
7
7.
Which of the following are true?
a)
Similar and congruent are not synonymous.
b)
If two figures are similar, then they are congruent too.
c)
Congruent figures have same area.
d)
Similar figures have same area.
e)
If two figures are congruent, then they are similar too.
(i)
{b,a,c}
(ii)
{a,c,e}
(iii)
{b,d,e}
(iv)
{d,c}
(v)
{b,a}
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 ≅ △GHI
b)
△IEG ≅ △GHI
c)
△DIH ≅ △HGF
d)
△IEG ≅ △DIH
e)
△DIH ≅ △GIH
(i)
{e,a}
(ii)
{e,d,a}
(iii)
{a,b,c,d}
(iv)
{e,b}
(v)
{e,c}
Question
9
9.
In the given figure, which of the following is true?
(i)
△FGH ≅ △VTU
(ii)
△FGH ≅ △TUV
(iii)
△FGH ≅ △VUT
(iv)
△FGH ≅ △UVT
(v)
△GHF ≅ △TUV
Question
10
10.
In the given figure, △ABC ≅ △RQP. Which of the following are true?
a)
BC = RQ
b)
∠B = ∠Q
c)
∠C = ∠P
d)
BC = QP
e)
∠A = ∠P
(i)
{a,b,c}
(ii)
{e,c}
(iii)
{a,e,d}
(iv)
{a,b}
(v)
{b,c,d}
Question
11
11.
In the given figure, △EFG ≅ △SRQ. Which of the following are true?
a)
∠R = 71°
b)
∠S = 61°
c)
∠S = 71°
d)
∠R = 48°
e)
∠Q = 61°
f)
∠Q = 48°
(i)
{d,b}
(ii)
{d,a,b}
(iii)
{a,b,f}
(iv)
{e,c,f}
(v)
{c,a}
Question
12
12.
In the given figure, △BCD ≅ △RST. Which of the following are true?
a)
TR = 14 cm
b)
TR = 12 cm
c)
RS = 14 cm
d)
RS = 11 cm
e)
ST = 11 cm
f)
ST = 14 cm
(i)
{f,a,e}
(ii)
{a,b}
(iii)
{d,c}
(iv)
{d,b,c}
(v)
{b,c,e}
Question
13
13.
In the given figure, which of the following is true?
(i)
△DFG ≅ △DFE
(ii)
△DFG ≅ △DEF
(iii)
△DGF ≅ △EFD
(iv)
△DGF ≅ △DEF
(v)
△DFG ≅ △FDE
Question
14
14.
With the data in the given figure, △LMO ≅ △LNO by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
15
15.
With the data in the given figure, △OFE ≅ △ODC by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
16
16.
With the given data in the figure, △MLO ≅ △NKO by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
17
17.
With the given data in the figure, △HIJ ≅ △JKH by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
18
18.
With the given data in the figure, △JKL ≅ △MLK by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
19
19.
With the given data in the figure, △UEF ≅ △TFE by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
20
20.
With the data in the given figure, △FIO ≅ △GHO by which property?
(i)
RHS Congruency
(ii)
SAS 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)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
22
22.
With the data in the given figure, △UPQ ≅ △TQP by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
23
23.
With the data in the given figure, △SHI ≅ △TIH by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
24
24.
In the given figure, △GEF is an isosceles triangle. DH ⟂ EF passing through G. △DGE ≅ △DGF by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
25
25.
In the given figure, IJKL is a square and △TIJ is an equilateral triangle. △TLI ≅ △TKJ by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
26
26.
With the data in the given figure, △GHJ ≅ △GIK by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
27
27.
With the data in the given figure, △ADB ≅ △ADC by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
28
28.
With the data in the given figure, △CED ≅ △DFC by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
29
29.
With the data in the given figure, △ABE ≅ △ACD by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
30
30.
In the given figure, △FGH is an obtuse angled triangle. △FGI ≅ △HGI by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
31
31.
With the data in the given figure, △GOH ≅ △GOI by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
32
32.
With the data in the figure, △LOM ≅ △NOM by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
33
33.
With the data in the figure, △FIG ≅ △FIH by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
34
34.
With the data in the figure, △HKI ≅ △JKI by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
35
35.
With the data in the figure, △ABD ≅ △ACD by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
36
36.
With the data in the figure, △KNL ≅ △LMK by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
37
37.
With the data in the figure, △HKI ≅ △HKJ by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
38
38.
With the data in the figure, △EOF ≅ △HOG by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
39
39.
With the data in the figure, △EFH ≅ △FEG by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
40
40.
With the data in the figure, △HJK ≅ △JHI by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
41
41.
With the data in the figure, △BEC ≅ △BED by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
42
42.
With the data in the figure, △EHF ≅ △FGE by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
43
43.
With the data in the figure, △COD ≅ △EOF by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
44
44.
With the data in the figure, △BOC ≅ △DOE by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
45
45.
With the data in the figure, △CDF ≅ △DCE by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
46
46.
With the data in the figure, △GHJ ≅ △KIJ by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
47
47.
With the data in the figure, △LMO ≅ △NMO by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
48
48.
With the data in the figure, △EFI ≅ △FEJ by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
49
49.
With the data in the figure, △CEF ≅ △CED by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
50
50.
With the data in the figure, △IML ≅ △JMK by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
51
51.
With the data in the figure, △LMP ≅ △LNQ by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
52
52.
With the data in the given figure, △OPR ≅ △QPR by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
53
53.
With the data in the given figure, △LMO ≅ △MLN by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
54
54.
With the data in the given figure, △MNP ≅ △OPN by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
55
55.
With the data in the given figure, △LMO ≅ △NMO by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
56
56.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 4
(iii)
fig 2
(iv)
fig 1
Question
57
57.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 4
(iii)
fig 3
(iv)
fig 2
Question
58
58.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 1
(iii)
fig 3
(iv)
fig 4
Assignment Key
1) (iii)
2) (iv)
3) (iv)
4) (iii)
5) (v)
6) (v)
7) (ii)
8) (iii)
9) (ii)
10) (v)
11) (iii)
12) (v)
13) (v)
14) (iv)
15) (iii)
16) (v)
17) (v)
18) (iv)
19) (v)
20) (ii)
21) (iii)
22) (i)
23) (iv)
24) (iv)
25) (ii)
26) (iv)
27) (iii)
28) (iv)
29) (i)
30) (iv)
31) (i)
32) (iv)
33) (v)
34) (ii)
35) (iii)
36) (v)
37) (i)
38) (v)
39) (ii)
40) (i)
41) (i)
42) (iv)
43) (i)
44) (iii)
45) (iv)
46) (iv)
47) (v)
48) (ii)
49) (iv)
50) (i)
51) (v)
52) (iii)
53) (ii)
54) (i)
55) (iv)
56) (i)
57) (i)
58) (iv)
