EduSahara™ Assignment
Name : Congruency of Triangles
Chapter : Congruency of Triangles
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
Question
2
2.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
Question
4
4.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
Question
5
5.
Which of the following are true?
a)
Any two triangles are similar.
b)
Any two triangles are congruent.
c)
Any two circles are congruent.
d)
Any two circles are similar.
e)
Any two squares are congruent.
f)
Any two squares are similar.
(i)
{b,f}
(ii)
{a,f,d}
(iii)
{a,d}
(iv)
{d,f}
(v)
{c,e,d}
Question
6
6.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A sector is a polygonal region.
c)
A square is a polygonal region.
d)
A triangle is a polygonal region.
e)
A circle is a polygonal region.
(i)
{a,c}
(ii)
{e,a,c}
(iii)
{c,d}
(iv)
{b,d}
(v)
{b,d,c}
Question
7
7.
Which of the following are true?
a)
If two figures are similar, then they are congruent too.
b)
Congruent figures have same area.
c)
If two figures are congruent, then they are similar too.
d)
Similar and congruent are not synonymous.
e)
Similar figures have same area.
(i)
{a,b,c}
(ii)
{e,c}
(iii)
{a,b}
(iv)
{b,c,d}
(v)
{a,e,d}
Question
8
8.
Which of the following are true?
a)
A polygonal region can be divided into a finite number of triangles in a unique way.
b)
Area of the union of two polygonal region is not equal to the sum of the individual area.
c)
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.
d)
Area of the union of two polygonal region is the sum of the individual area.
(i)
{d,c}
(ii)
{a,c,b}
(iii)
{a,b}
(iv)
{b,c}
(v)
{a,d,b}
Question
9
9.
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 ≅ △HGF
b)
△DIH ≅ △GIH
c)
△IEG ≅ △DIH
d)
△IEG ≅ △GHI
e)
△DIH ≅ △GHI
(i)
{b,e,a}
(ii)
{b,c}
(iii)
{b,d}
(iv)
{b,a}
(v)
{a,c,d,e}
Question
10
10.
In the given figure, which of the following is true?
(i)
△CDE ≅ △TSR
(ii)
△DEC ≅ △RST
(iii)
△CDE ≅ △STR
(iv)
△CDE ≅ △TRS
(v)
△CDE ≅ △RST
Question
11
11.
In the given figure, △ABC ≅ △RQP. Which of the following are true?
a)
∠B = ∠Q
b)
∠A = ∠P
c)
∠C = ∠P
d)
BC = QP
e)
BC = RQ
(i)
{b,e,d}
(ii)
{e,c}
(iii)
{b,a}
(iv)
{b,a,c}
(v)
{a,c,d}
Question
12
12.
In the given figure, △CDE ≅ △TSR. Which of the following are true?
a)
∠R = 53°
b)
∠S = 68°
c)
∠T = 53°
d)
∠S = 59°
e)
∠T = 68°
f)
∠R = 59°
(i)
{d,c}
(ii)
{b,c,f}
(iii)
{e,a,f}
(iv)
{d,b,c}
(v)
{a,b}
Question
13
13.
In the given figure, △BCD ≅ △QRS. Which of the following are true?
a)
QR = 16 cm
b)
RS = 16 cm
c)
QR = 12 cm
d)
SQ = 13 cm
e)
RS = 12 cm
f)
SQ = 12 cm
(i)
{f,a,d}
(ii)
{e,c}
(iii)
{a,b}
(iv)
{b,c,d}
(v)
{e,b,c}
Question
14
14.
In the given figure, which of the following is true?
(i)
△DGF ≅ △EFD
(ii)
△DFG ≅ △FDE
(iii)
△DGF ≅ △DEF
(iv)
△DFG ≅ △DEF
(v)
△DFG ≅ △DFE
Question
15
15.
With the data in the given figure, △GHJ ≅ △GIJ by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
16
16.
With the data in the given figure, △OJI ≅ △OHG by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
17
17.
With the given data in the figure, △GFI ≅ △HEI by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
18
18.
With the given data in the figure, △EFG ≅ △GHE by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
19
19.
With the given data in the figure, △KLM ≅ △NML by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
20
20.
With the given data in the figure, △TCD ≅ △SDC by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
21
21.
With the data in the given figure, △FIO ≅ △GHO by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
22
22.
With the data in the given figure, △DGF ≅ △DEF by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
23
23.
With the data in the given figure, △KFG ≅ △JGF by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
24
24.
With the data in the given figure, △RFG ≅ △SGF by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
25
25.
In the given figure, △DBC is an isosceles triangle. AE ⟂ BC passing through D. △ADB ≅ △ADC by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
26
26.
In the given figure, HIJK is a square and △RHI is an equilateral triangle. △RKH ≅ △RJI by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
27
27.
With the data in the given figure, △ABD ≅ △ACE by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
28
28.
With the data in the given figure, △BEC ≅ △BED by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
29
29.
With the data in the given figure, △EGF ≅ △FHE by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
30
30.
With the data in the given figure, △DEH ≅ △DFG by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
31
31.
In the given figure, △KLM is an obtuse angled triangle. △KLN ≅ △MLN by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
32
32.
With the data in the given figure, △AOB ≅ △AOC by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
33
33.
With the data in the figure, △CFD ≅ △EFD by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
34
34.
With the data in the figure, △EHF ≅ △EHG 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, △BEC ≅ △DEC by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
36
36.
With the data in the figure, △KLN ≅ △KMN by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
37
37.
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
38
38.
With the data in the figure, △CFD ≅ △CFE by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
39
39.
With the data in the figure, △HOI ≅ △KOJ by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
40
40.
With the data in the figure, △CDF ≅ △DCE by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
41
41.
With the data in the figure, △DFG ≅ △FDE by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
42
42.
With the data in the figure, △CFD ≅ △CFE by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
43
43.
With the data in the figure, △CFD ≅ △DEC by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
44
44.
With the data in the figure, △GOH ≅ △IOJ by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
45
45.
With the data in the figure, △HOI ≅ △JOK by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
46
46.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
47
47.
With the data in the figure, △FGI ≅ △JHI by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
48
48.
With the data in the figure, △IJL ≅ △KJL by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
49
49.
With the data in the figure, △GHK ≅ △HGL by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
50
50.
With the data in the figure, △HJK ≅ △HJI by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
51
51.
With the data in the figure, △BFE ≅ △CFD by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
52
52.
With the data in the figure, △OPS ≅ △OQT by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
53
53.
With the data in the given figure, △MNP ≅ △ONP by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
54
54.
With the data in the given figure, △OPR ≅ △POQ by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
55
55.
With the data in the given figure, △PQS ≅ △RSQ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
56
56.
With the data in the given figure, △LMO ≅ △NMO by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
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 3
(iii)
fig 4
(iv)
fig 1
Question
59
59.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 3
(iii)
fig 4
(iv)
fig 1
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (ii)
5) (iv)
6) (iii)
7) (iv)
8) (iv)
9) (v)
10) (v)
11) (v)
12) (ii)
13) (iv)
14) (ii)
15) (iii)
16) (ii)
17) (iv)
18) (ii)
19) (ii)
20) (iii)
21) (iv)
22) (iii)
23) (iv)
24) (iv)
25) (i)
26) (ii)
27) (iii)
28) (i)
29) (iii)
30) (i)
31) (ii)
32) (v)
33) (iii)
34) (ii)
35) (v)
36) (iv)
37) (ii)
38) (ii)
39) (iii)
40) (iv)
41) (v)
42) (ii)
43) (iv)
44) (v)
45) (iv)
46) (i)
47) (iv)
48) (iii)
49) (v)
50) (iv)
51) (i)
52) (v)
53) (i)
54) (v)
55) (v)
56) (v)
57) (i)
58) (iii)
59) (iii)
