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)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
Question
2
2.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
Question
4
4.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS 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 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,c,a}
(ii)
{a,c}
(iii)
{d,c}
(iv)
{b,a}
(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)
△FBD ≅ △DEF
b)
△AFE ≅ △DEF
c)
△AFE ≅ △EDC
d)
△AFE ≅ △DFE
e)
△FBD ≅ △AFE
(i)
{a,b,c,e}
(ii)
{d,a}
(iii)
{d,b}
(iv)
{d,c}
(v)
{d,e,a}
Question
7
7.
In the given figure, which of the following is true?
(i)
△ABC ≅ △RSQ
(ii)
△ABC ≅ △SRQ
(iii)
△ABC ≅ △QRS
(iv)
△BCA ≅ △QRS
(v)
△ABC ≅ △SQR
Question
8
8.
In the given figure, △EFG ≅ △RQP. Which of the following are true?
a)
FG = QP
b)
∠E = ∠P
c)
∠G = ∠P
d)
∠F = ∠Q
e)
FG = RQ
(i)
{b,a}
(ii)
{a,c,d}
(iii)
{e,c}
(iv)
{b,a,c}
(v)
{b,e,d}
Question
9
9.
In the given figure, △EFG ≅ △VUT. Which of the following are true?
a)
∠U = 88°
b)
∠V = 88°
c)
∠V = 43°
d)
∠U = 49°
e)
∠T = 43°
f)
∠T = 49°
(i)
{d,c}
(ii)
{b,a}
(iii)
{e,b,f}
(iv)
{a,c,f}
(v)
{d,a,c}
Question
10
10.
In the given figure, △FGH ≅ △TUV. Which of the following are true?
a)
UV = 11 cm
b)
VT = 15 cm
c)
UV = 15 cm
d)
TU = 11 cm
e)
TU = 15 cm
f)
VT = 16 cm
(i)
{c,a,e}
(ii)
{c,e}
(iii)
{a,e,f}
(iv)
{b,a}
(v)
{d,b,f}
Question
11
11.
In the given figure, which of the following is true?
(i)
△FHI ≅ △FGH
(ii)
△FHI ≅ △FHG
(iii)
△FHI ≅ △HFG
(iv)
△FIH ≅ △GHF
(v)
△FIH ≅ △FGH
Question
12
12.
With the data in the given figure, △FGI ≅ △FHI by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
13
13.
With the data in the given figure, △OED ≅ △OCB by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
14
14.
With the given data in the figure, △EDG ≅ △FCG by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
15
15.
With the given data in the figure, △FGH ≅ △HIF by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
16
16.
With the given data in the figure, △EFG ≅ △HGF by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
17
17.
With the given data in the figure, △RGH ≅ △QHG by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
18
18.
With the data in the given figure, △HKO ≅ △IJO by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
19
19.
With the data in the given figure, △FIH ≅ △FGH by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
20
20.
With the data in the given figure, △WRS ≅ △VSR by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
21
21.
With the data in the given figure, △UGH ≅ △VHG by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
22
22.
In the given figure, △KIJ is an isosceles triangle. HL ⟂ IJ passing through K. △HKI ≅ △HKJ by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
23
23.
In the given figure, DEFG is a square and △PDE is an equilateral triangle. △PGD ≅ △PFE by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
24
24.
With the data in the given figure, △HIK ≅ △HJL by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
25
25.
With the data in the given figure, △BEC ≅ △BED by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
26
26.
With the data in the given figure, △FHG ≅ △GIF by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
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)
SSS Congruency
(v)
RHS Congruency
Question
28
28.
In the given figure, △FGH is an obtuse angled triangle. △FGI ≅ △HGI by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
29
29.
With the data in the given figure, △BOC ≅ △BOD by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
30
30.
With the data in the figure, △GJH ≅ △IJH by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
31
31.
With the data in the figure, △EHF ≅ △EHG by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
32
32.
With the data in the figure, △CFD ≅ △EFD by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
33
33.
With the data in the figure, △DEG ≅ △DFG by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
34
34.
With the data in the figure, △HKI ≅ △IJH by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
35
35.
With the data in the figure, △GJH ≅ △GJI by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
36
36.
With the data in the figure, △BOC ≅ △EOD by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
37
37.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
38
38.
With the data in the figure, △ACD ≅ △CAB by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
39
39.
With the data in the figure, △HKI ≅ △HKJ by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
40
40.
With the data in the figure, △FIG ≅ △GHF 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, △EOF ≅ △GOH by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
42
42.
With the data in the figure, △AOB ≅ △COD by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
43
43.
With the data in the figure, △JKM ≅ △KJL by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
44
44.
With the data in the figure, △BCE ≅ △FDE by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
45
45.
With the data in the figure, △IJL ≅ △KJL by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
46
46.
With the data in the figure, △LMP ≅ △MLQ by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
47
47.
With the data in the figure, △DFG ≅ △DFE by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
48
48.
With the data in the figure, △AED ≅ △BEC by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
49
49.
With the data in the figure, △LMP ≅ △LNQ by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
50
50.
With the data in the given figure, △LMO ≅ △NMO by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
51
51.
With the data in the given figure, △MNP ≅ △NMO by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
52
52.
With the data in the given figure, △LMO ≅ △NOM by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
53
53.
With the data in the given figure, △OPR ≅ △QPR by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
54
54.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 2
(iii)
fig 4
(iv)
fig 3
Question
55
55.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 1
(iii)
fig 4
(iv)
fig 2
Question
56
56.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 1
(iii)
fig 4
(iv)
fig 3
Assignment Key
1) (iv)
2) (iii)
3) (iii)
4) (i)
5) (ii)
6) (i)
7) (iii)
8) (ii)
9) (iv)
10) (iii)
11) (iii)
12) (iii)
13) (iv)
14) (iii)
15) (ii)
16) (ii)
17) (iii)
18) (v)
19) (iv)
20) (iv)
21) (iii)
22) (i)
23) (i)
24) (iv)
25) (v)
26) (v)
27) (v)
28) (iv)
29) (i)
30) (ii)
31) (iv)
32) (i)
33) (i)
34) (v)
35) (i)
36) (iv)
37) (v)
38) (iii)
39) (ii)
40) (iii)
41) (i)
42) (ii)
43) (ii)
44) (ii)
45) (ii)
46) (i)
47) (iii)
48) (ii)
49) (iii)
50) (v)
51) (ii)
52) (i)
53) (ii)
54) (iv)
55) (iii)
56) (iv)
