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)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
Question
2
2.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
Question
4
4.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
Question
5
5.
Which of the following are true?
a)
Any two circles are congruent.
b)
Any two circles are similar.
c)
Any two triangles are congruent.
d)
Any two triangles are similar.
e)
Any two squares are congruent.
f)
Any two squares are similar.
(i)
{b,f}
(ii)
{d,e,b}
(iii)
{c,f}
(iv)
{a,b}
(v)
{a,f,b}
Question
6
6.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A triangle is a polygonal region.
c)
A circle is a polygonal region.
d)
A sector is a polygonal region.
e)
A square is a polygonal region.
(i)
{b,e}
(ii)
{c,e,b}
(iii)
{d,a,b}
(iv)
{c,e}
(v)
{a,b}
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)
{b,a}
(ii)
{b,c,e}
(iii)
{b,a,d}
(iv)
{c,d}
(v)
{a,d,e}
Question
8
8.
Which of the following are true?
a)
Area of the union of two polygonal region is not equal to the sum of the individual area.
b)
A polygonal region can be divided into a finite number of triangles in a unique way.
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)
{b,a}
(ii)
{a,c}
(iii)
{b,c,a}
(iv)
{b,d,a}
(v)
{d,c}
Question
9
9.
In the given figure, points P , Q and R are the mid-points of sides NO, OM and MN of △MNO. Which of the following are true?
a)
△MRQ ≅ △PQR
b)
△MRQ ≅ △PRQ
c)
△MRQ ≅ △QPO
d)
△RNP ≅ △PQR
e)
△RNP ≅ △MRQ
(i)
{b,a}
(ii)
{b,d}
(iii)
{b,e,a}
(iv)
{b,c}
(v)
{a,c,d,e}
Question
10
10.
In the given figure, which of the following is true?
(i)
△CDE ≅ △TUS
(ii)
△DEC ≅ △STU
(iii)
△CDE ≅ △STU
(iv)
△CDE ≅ △UTS
(v)
△CDE ≅ △UST
Question
11
11.
In the given figure, △DEF ≅ △VUT. Which of the following are true?
a)
EF = UT
b)
∠F = ∠T
c)
∠E = ∠U
d)
EF = VU
e)
∠D = ∠T
(i)
{d,a}
(ii)
{d,a,b}
(iii)
{d,e,c}
(iv)
{e,b}
(v)
{a,b,c}
Question
12
12.
In the given figure, △BCD ≅ △RQP. Which of the following are true?
a)
∠R = 61°
b)
∠P = 70°
c)
∠P = 49°
d)
∠Q = 61°
e)
∠Q = 49°
f)
∠R = 70°
(i)
{b,c,d}
(ii)
{a,c}
(iii)
{b,d}
(iv)
{c,d,f}
(v)
{e,a,f}
Question
13
13.
In the given figure, △BCD ≅ △TUV. Which of the following are true?
a)
VT = 13 cm
b)
UV = 13 cm
c)
VT = 12 cm
d)
TU = 13 cm
e)
UV = 14 cm
f)
TU = 14 cm
(i)
{f,a,e}
(ii)
{b,d}
(iii)
{c,d,e}
(iv)
{b,c,d}
(v)
{a,c}
Question
14
14.
In the given figure, which of the following is true?
(i)
△JML ≅ △KLJ
(ii)
△JLM ≅ △JLK
(iii)
△JML ≅ △JKL
(iv)
△JLM ≅ △JKL
(v)
△JLM ≅ △LJK
Question
15
15.
With the data in the given figure, △GHJ ≅ △GIJ by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
16
16.
With the data in the given figure, △OKJ ≅ △OIH by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
17
17.
With the given data in the figure, △GFI ≅ △HEI by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
18
18.
With the given data in the figure, △IJK ≅ △KLI by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
19
19.
With the given data in the figure, △GHI ≅ △JIH by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
20
20.
With the given data in the figure, △REF ≅ △QFE by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
21
21.
With the data in the given figure, △HKO ≅ △IJO by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
22
22.
With the data in the given figure, △CFE ≅ △CDE by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
23
23.
With the data in the given figure, △HCD ≅ △GDC by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
24
24.
With the data in the given figure, △THI ≅ △UIH by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
25
25.
In the given figure, △ECD is an isosceles triangle. BF ⟂ CD passing through E. △BEC ≅ △BED by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
26
26.
In the given figure, HIJK is a square and △SHI is an equilateral triangle. △SKH ≅ △SJI by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
27
27.
With the data in the given figure, △JKM ≅ △JLN by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
28
28.
With the data in the given figure, △DGE ≅ △DGF by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
29
29.
With the data in the given figure, △FHG ≅ △GIF by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
30
30.
With the data in the given figure, △IJM ≅ △IKL by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
31
31.
In the given figure, △BCD is an obtuse angled triangle. △BCE ≅ △DCE by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
32
32.
With the data in the given figure, △AOB ≅ △AOC by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
33
33.
With the data in the figure, △EHF ≅ △GHF by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
34
34.
With the data in the figure, △ADB ≅ △ADC by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
35
35.
With the data in the figure, △KNL ≅ △MNL by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
36
36.
With the data in the figure, △ABD ≅ △ACD by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
37
37.
With the data in the figure, △DGE ≅ △EFD by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
38
38.
With the data in the figure, △JMK ≅ △JML by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
39
39.
With the data in the figure, △EOF ≅ △HOG by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
40
40.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
41
41.
With the data in the figure, △HJK ≅ △JHI by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
42
42.
With the data in the figure, △FIG ≅ △FIH by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
43
43.
With the data in the figure, △HKI ≅ △IJH by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
44
44.
With the data in the figure, △BOC ≅ △DOE by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
45
45.
With the data in the figure, △AOB ≅ △COD by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
46
46.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
47
47.
With the data in the figure, △ABD ≅ △ECD by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
48
48.
With the data in the figure, △KLN ≅ △MLN by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
49
49.
With the data in the figure, △FGJ ≅ △GFK by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
50
50.
With the data in the figure, △FHI ≅ △FHG by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
51
51.
With the data in the figure, △GKJ ≅ △HKI by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
52
52.
With the data in the figure, △OPS ≅ △OQT by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
53
53.
With the data in the given figure, △LMO ≅ △NMO by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
54
54.
With the data in the given figure, △LMO ≅ △MLN by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
55
55.
With the data in the given figure, △LMO ≅ △NOM by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
56
56.
With the data in the given figure, △LMO ≅ △NMO by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
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 1
(ii)
fig 3
(iii)
fig 4
(iv)
fig 2
Question
59
59.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 3
(iii)
fig 2
(iv)
fig 4
Assignment Key
1) (ii)
2) (i)
3) (ii)
4) (iv)
5) (i)
6) (i)
7) (v)
8) (ii)
9) (v)
10) (iii)
11) (v)
12) (iv)
13) (iii)
14) (v)
15) (iii)
16) (ii)
17) (iv)
18) (v)
19) (v)
20) (i)
21) (v)
22) (i)
23) (i)
24) (ii)
25) (v)
26) (ii)
27) (i)
28) (iii)
29) (i)
30) (iv)
31) (iv)
32) (i)
33) (iv)
34) (i)
35) (ii)
36) (v)
37) (ii)
38) (i)
39) (iv)
40) (ii)
41) (ii)
42) (i)
43) (iii)
44) (iii)
45) (iii)
46) (iii)
47) (iv)
48) (i)
49) (iii)
50) (ii)
51) (iv)
52) (iv)
53) (v)
54) (v)
55) (v)
56) (i)
57) (i)
58) (iv)
59) (iv)
