EduSahara™ Assignment
Name : Congruency of Triangles
Chapter : Congruency of Triangles
Grade : SSC 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)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA 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)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
Question
5
5.
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 the union of two polygonal region is the sum of the individual area.
d)
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.
(i)
{b,c,a}
(ii)
{a,d}
(iii)
{b,a}
(iv)
{c,d}
(v)
{b,d,a}
Question
6
6.
In the given figure, points D , E and F are the mid-points of sides BC, CA and AB of △ABC. Which of the following are true?
a)
△AFE ≅ △DFE
b)
△AFE ≅ △DEF
c)
△AFE ≅ △EDC
d)
△FBD ≅ △AFE
e)
△FBD ≅ △DEF
(i)
{b,c,d,e}
(ii)
{a,b}
(iii)
{a,d}
(iv)
{a,e,b}
(v)
{a,c}
Question
7
7.
In the given figure, which of the following is true?
(i)
△CDE ≅ △RPQ
(ii)
△CDE ≅ △QRP
(iii)
△DEC ≅ △PQR
(iv)
△CDE ≅ △PQR
(v)
△CDE ≅ △RQP
Question
8
8.
In the given figure, △ABC ≅ △VUT. Which of the following are true?
a)
∠C = ∠T
b)
BC = UT
c)
∠B = ∠U
d)
BC = VU
e)
∠A = ∠T
(i)
{d,a}
(ii)
{e,b}
(iii)
{a,b,c}
(iv)
{d,a,b}
(v)
{d,e,c}
Question
9
9.
In the given figure, △ABC ≅ △UTS. Which of the following are true?
a)
∠U = 77°
b)
∠U = 58°
c)
∠S = 46°
d)
∠T = 46°
e)
∠T = 58°
f)
∠S = 77°
(i)
{d,a,c}
(ii)
{b,a}
(iii)
{a,c,e}
(iv)
{f,b,e}
(v)
{d,c}
Question
10
10.
In the given figure, △CDE ≅ △UVW. Which of the following are true?
a)
UV = 16 cm
b)
WU = 13 cm
c)
VW = 11 cm
d)
VW = 16 cm
e)
UV = 11 cm
f)
WU = 11 cm
(i)
{b,d,e}
(ii)
{c,b,d}
(iii)
{a,b}
(iv)
{c,d}
(v)
{f,a,e}
Question
11
11.
In the given figure, which of the following is true?
(i)
△GIJ ≅ △GIH
(ii)
△GIJ ≅ △IGH
(iii)
△GJI ≅ △HIG
(iv)
△GJI ≅ △GHI
(v)
△GIJ ≅ △GHI
Question
12
12.
With the data in the given figure, △CDF ≅ △CEF by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
13
13.
With the data in the given figure, △OIH ≅ △OGF by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
14
14.
With the given data in the figure, △EDG ≅ △FCG by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
15
15.
With the given data in the figure, △GHI ≅ △IJG by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
16
16.
With the given data in the figure, △FGH ≅ △IHG by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
17
17.
With the given data in the figure, △VCD ≅ △UDC by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
18
18.
With the data in the given figure, △HKO ≅ △IJO by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
19
19.
With the data in the given figure, △EHG ≅ △EFG by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
20
20.
With the data in the given figure, △HCD ≅ △GDC by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
21
21.
With the data in the given figure, △QJK ≅ △RKJ by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
22
22.
In the given figure, △KIJ is an isosceles triangle. HL ⟂ IJ passing through K. △HKI ≅ △HKJ by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
23
23.
In the given figure, ABCD is a square and △RAB is an equilateral triangle. △RDA ≅ △RCB by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
24
24.
With the data in the given figure, △KLN ≅ △KMO by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
25
25.
With the data in the given figure, △ADB ≅ △ADC by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
26
26.
With the data in the given figure, △GIH ≅ △HJG by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
27
27.
With the data in the given figure, △NOR ≅ △NPQ by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
28
28.
In the given figure, △CDE is an obtuse angled triangle. △CDF ≅ △EDF by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
29
29.
With the data in the given figure, △EOF ≅ △EOG by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
30
30.
With the data in the figure, △FIG ≅ △HIG by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
31
31.
With the data in the figure, △DGE ≅ △DGF by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
32
32.
With the data in the figure, △EHF ≅ △GHF by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
33
33.
With the data in the figure, △GHJ ≅ △GIJ by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
34
34.
With the data in the figure, △BEC ≅ △CDB by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
35
35.
With the data in the figure, △DGE ≅ △DGF by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
36
36.
With the data in the figure, △GOH ≅ △JOI by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
37
37.
With the data in the figure, △CDF ≅ △DCE by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
38
38.
With the data in the figure, △HJK ≅ △JHI by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
39
39.
With the data in the figure, △ADB ≅ △ADC by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
40
40.
With the data in the figure, △HKI ≅ △IJH by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
41
41.
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
42
42.
With the data in the figure, △AOB ≅ △COD by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
43
43.
With the data in the figure, △EFH ≅ △FEG 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, △HIK ≅ △LJK by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
45
45.
With the data in the figure, △CDF ≅ △EDF by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
46
46.
With the data in the figure, △JKN ≅ △KJO by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
47
47.
With the data in the figure, △HJK ≅ △HJI by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
48
48.
With the data in the figure, △AED ≅ △BEC by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
49
49.
With the data in the figure, △MNQ ≅ △MOR 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 given figure, △PQS ≅ △RQS by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
51
51.
With the data in the given figure, △PQS ≅ △QPR 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 given figure, △LMO ≅ △NOM by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
53
53.
With the data in the given figure, △PQS ≅ △RQS by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
54
54.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 2
(iii)
fig 3
(iv)
fig 1
Question
55
55.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 1
(iii)
fig 2
(iv)
fig 4
Question
56
56.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 4
(iii)
fig 1
(iv)
fig 2
Assignment Key
1) (iii)
2) (iv)
3) (ii)
4) (i)
5) (ii)
6) (i)
7) (iv)
8) (iii)
9) (iii)
10) (i)
11) (ii)
12) (v)
13) (v)
14) (iii)
15) (iii)
16) (ii)
17) (iv)
18) (iii)
19) (iii)
20) (v)
21) (v)
22) (ii)
23) (v)
24) (v)
25) (iv)
26) (ii)
27) (iv)
28) (iv)
29) (iii)
30) (i)
31) (v)
32) (ii)
33) (i)
34) (v)
35) (ii)
36) (iii)
37) (ii)
38) (iii)
39) (iv)
40) (i)
41) (iii)
42) (v)
43) (ii)
44) (v)
45) (v)
46) (ii)
47) (iii)
48) (v)
49) (ii)
50) (v)
51) (iv)
52) (i)
53) (v)
54) (iii)
55) (ii)
56) (ii)
