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)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
Question
2
2.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS 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 squares are congruent.
b)
Any two circles are similar.
c)
Any two triangles are similar.
d)
Any two squares are similar.
e)
Any two circles are congruent.
f)
Any two triangles are congruent.
(i)
{a,b}
(ii)
{e,f,b}
(iii)
{c,d}
(iv)
{a,d,b}
(v)
{b,d}
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 semi-circle is a polygonal region.
d)
A circle is a polygonal region.
e)
A sector is a polygonal region.
(i)
{a,b}
(ii)
{d,b}
(iii)
{d,b,a}
(iv)
{c,a}
(v)
{e,c,a}
Question
7
7.
Which of the following are true?
a)
Congruent figures have same area.
b)
If two figures are congruent, then they are similar too.
c)
Similar figures have same area.
d)
Similar and congruent are not synonymous.
e)
If two figures are similar, then they are congruent too.
(i)
{a,b,d}
(ii)
{c,e,d}
(iii)
{c,a}
(iv)
{c,a,b}
(v)
{e,b}
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,b}
(ii)
{a,d,b}
(iii)
{c,d}
(iv)
{b,d}
(v)
{a,c,b}
Question
9
9.
In the given figure, points I , J and K are the mid-points of sides GH, HF and FG of △FGH. Which of the following are true?
a)
△FKJ ≅ △JIH
b)
△KGI ≅ △FKJ
c)
△KGI ≅ △IJK
d)
△FKJ ≅ △IKJ
e)
△FKJ ≅ △IJK
(i)
{a,b,c,e}
(ii)
{d,e,a}
(iii)
{d,b}
(iv)
{d,a}
(v)
{d,c}
Question
10
10.
In the given figure, which of the following is true?
(i)
△CDE ≅ △TRS
(ii)
△DEC ≅ △RST
(iii)
△CDE ≅ △TSR
(iv)
△CDE ≅ △RST
(v)
△CDE ≅ △STR
Question
11
11.
In the given figure, △EFG ≅ △VUT. Which of the following are true?
a)
∠F = ∠U
b)
FG = VU
c)
∠G = ∠T
d)
FG = UT
e)
∠E = ∠T
(i)
{b,a}
(ii)
{b,e,d}
(iii)
{b,a,c}
(iv)
{e,c}
(v)
{a,c,d}
Question
12
12.
In the given figure, △CDE ≅ △TSR. Which of the following are true?
a)
∠T = 77°
b)
∠S = 58°
c)
∠R = 58°
d)
∠S = 46°
e)
∠R = 77°
f)
∠T = 46°
(i)
{e,a,c}
(ii)
{b,a}
(iii)
{e,c}
(iv)
{a,c,d}
(v)
{f,b,d}
Question
13
13.
In the given figure, △FGH ≅ △STU. Which of the following are true?
a)
US = 14 cm
b)
TU = 16 cm
c)
TU = 12 cm
d)
ST = 16 cm
e)
US = 16 cm
f)
ST = 12 cm
(i)
{e,c}
(ii)
{f,b,d}
(iii)
{a,c,d}
(iv)
{e,a,c}
(v)
{b,a}
Question
14
14.
In the given figure, which of the following is true?
(i)
△CEF ≅ △CDE
(ii)
△CEF ≅ △CED
(iii)
△CFE ≅ △CDE
(iv)
△CFE ≅ △DEC
(v)
△CEF ≅ △ECD
Question
15
15.
With the data in the given figure, △BCE ≅ △BDE by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
16
16.
With the data in the given figure, △OIH ≅ △OGF by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
17
17.
With the given data in the figure, △NMP ≅ △OLP by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
18
18.
With the given data in the figure, △CDE ≅ △EFC by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
19
19.
With the given data in the figure, △LMN ≅ △ONM by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
20
20.
With the given data in the figure, △SBC ≅ △RCB by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
21
21.
With the data in the given figure, △CFO ≅ △DEO by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
22
22.
With the data in the given figure, △EHG ≅ △EFG by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
23
23.
With the data in the given figure, △WRS ≅ △VSR by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
24
24.
With the data in the given figure, △RGH ≅ △SHG by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
25
25.
In the given figure, △FDE is an isosceles triangle. CG ⟂ DE passing through F. △CFD ≅ △CFE by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
26
26.
In the given figure, FGHI is a square and △QFG is an equilateral triangle. △QIF ≅ △QHG by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
27
27.
With the data in the given figure, △EFH ≅ △EGI by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
28
28.
With the data in the given figure, △DGE ≅ △DGF by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
29
29.
With the data in the given figure, △MON ≅ △NPM by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
30
30.
With the data in the given figure, △CDG ≅ △CEF by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
31
31.
In the given figure, △DEF is an obtuse angled triangle. △DEG ≅ △FEG 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, △HOI ≅ △HOJ by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
33
33.
With the data in the figure, △EHF ≅ △GHF by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
34
34.
With the data in the figure, △HKI ≅ △HKJ by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
35
35.
With the data in the figure, △DGE ≅ △FGE by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
36
36.
With the data in the figure, △LMO ≅ △LNO by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
37
37.
With the data in the figure, △GJH ≅ △HIG by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
38
38.
With the data in the figure, △HKI ≅ △HKJ by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
39
39.
With the data in the figure, △BOC ≅ △EOD by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
40
40.
With the data in the figure, △GHJ ≅ △HGI by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
41
41.
With the data in the figure, △ACD ≅ △CAB by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
42
42.
With the data in the figure, △ADB ≅ △ADC by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
43
43.
With the data in the figure, △FIG ≅ △GHF by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
44
44.
With the data in the figure, △FOG ≅ △HOI by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
45
45.
With the data in the figure, △GOH ≅ △IOJ by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
46
46.
With the data in the figure, △IJL ≅ △JIK by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
47
47.
With the data in the figure, △HIK ≅ △LJK by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
48
48.
With the data in the figure, △JKM ≅ △LKM by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
49
49.
With the data in the figure, △KLO ≅ △LKP by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
50
50.
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
51
51.
With the data in the figure, △FJI ≅ △GJH by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
52
52.
With the data in the figure, △NOR ≅ △NPS by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
53
53.
With the data in the given figure, △PQS ≅ △RQS by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
54
54.
With the data in the given figure, △OPR ≅ △POQ by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
55
55.
With the data in the given figure, △LMO ≅ △NOM by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
56
56.
With the data in the given figure, △NOQ ≅ △POQ by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
57
57.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 3
(iii)
fig 1
(iv)
fig 4
Question
58
58.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 1
(iii)
fig 2
(iv)
fig 4
Question
59
59.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 3
(iii)
fig 4
(iv)
fig 2
Assignment Key
1) (i)
2) (i)
3) (ii)
4) (i)
5) (v)
6) (i)
7) (i)
8) (iv)
9) (i)
10) (iv)
11) (v)
12) (iv)
13) (iii)
14) (v)
15) (ii)
16) (iii)
17) (v)
18) (i)
19) (i)
20) (ii)
21) (i)
22) (i)
23) (i)
24) (ii)
25) (ii)
26) (iii)
27) (ii)
28) (v)
29) (iii)
30) (i)
31) (ii)
32) (iv)
33) (iv)
34) (i)
35) (i)
36) (iii)
37) (ii)
38) (i)
39) (iii)
40) (iii)
41) (ii)
42) (i)
43) (iii)
44) (iii)
45) (v)
46) (ii)
47) (iv)
48) (ii)
49) (ii)
50) (iv)
51) (v)
52) (iii)
53) (ii)
54) (iii)
55) (i)
56) (iv)
57) (ii)
58) (i)
59) (i)
