EduSahara™ Assignment
Name : Congruence of Triangles
Chapter : Triangles
Grade : SSC Grade IX
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)
SSS Congruency
(iv)
RHS Congruency
Question
2
2.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
Question
4
4.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
Question
5
5.
In the given figure, which of the following is true?
(i)
△GHF ≅ △QRS
(ii)
△FGH ≅ △SRQ
(iii)
△FGH ≅ △SQR
(iv)
△FGH ≅ △QRS
(v)
△FGH ≅ △RSQ
Question
6
6.
In the given figure, △CDE ≅ △SRQ. Which of the following are true?
a)
∠D = ∠R
b)
DE = RQ
c)
∠C = ∠Q
d)
DE = SR
e)
∠E = ∠Q
(i)
{c,a,b}
(ii)
{a,b,e}
(iii)
{c,d,e}
(iv)
{d,b}
(v)
{c,a}
Question
7
7.
In the given figure, △FGH ≅ △VUT. Which of the following are true?
a)
∠T = 48°
b)
∠U = 53°
c)
∠U = 79°
d)
∠V = 48°
e)
∠V = 79°
f)
∠T = 53°
(i)
{e,a,f}
(ii)
{b,d}
(iii)
{c,d,f}
(iv)
{a,c}
(v)
{b,c,d}
Question
8
8.
In the given figure, △CDE ≅ △STU. Which of the following are true?
a)
US = 15 cm
b)
TU = 11 cm
c)
ST = 15 cm
d)
TU = 15 cm
e)
ST = 11 cm
f)
US = 12 cm
(i)
{d,c}
(ii)
{b,c,f}
(iii)
{a,b}
(iv)
{e,a,f}
(v)
{d,b,c}
Question
9
9.
With the data in the given figure, △GHJ ≅ △GIJ by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
10
10.
With the data in the given figure, △OFE ≅ △ODC by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
11
11.
With the given data in the figure, △HGJ ≅ △IFJ by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
12
12.
With the given data in the figure, △IJK ≅ △KLI by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
13
13.
With the given data in the figure, △GHI ≅ △JIH by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
14
14.
With the given data in the figure, △VBC ≅ △UCB by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
15
15.
With the data in the given figure, △ADO ≅ △BCO by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
16
16.
With the data in the given figure, △BED ≅ △BCD by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
17
17.
With the data in the given figure, △GBC ≅ △FCB by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
18
18.
With the data in the given figure, △THI ≅ △UIH by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
19
19.
In the given figure, △GEF is an isosceles triangle. DH ⟂ EF passing through G. △DGE ≅ △DGF by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
20
20.
In the given figure, FGHI is a square and △PFG is an equilateral triangle. △PIF ≅ △PHG by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
21
21.
With the data in the given figure, △HIK ≅ △HJL by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
22
22.
With the data in the given figure, △BEC ≅ △BED by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
23
23.
With the data in the given figure, △KML ≅ △LNK by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
24
24.
With the data in the given figure, △OPS ≅ △OQR by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
25
25.
In the given figure, △LMN is an obtuse angled triangle. △LMO ≅ △NMO by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
26
26.
With the data in the given figure, △HOI ≅ △HOJ by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
27
27.
With the data in the figure, △LOM ≅ △NOM by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
28
28.
With the data in the figure, △DGE ≅ △DGF by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
29
29.
With the data in the figure, △EHF ≅ △GHF by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
30
30.
With the data in the figure, △DEG ≅ △DFG by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
31
31.
With the data in the figure, △PSQ ≅ △QRP by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
32
32.
With the data in the figure, △JMK ≅ △JML by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
33
33.
With the data in the figure, △BOC ≅ △EOD by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
34
34.
With the data in the figure, △CDF ≅ △DCE by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
35
35.
With the data in the figure, △FHI ≅ △HFG by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
36
36.
With the data in the figure, △GJH ≅ △GJI by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
37
37.
With the data in the figure, △BEC ≅ △CDB 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, △DOE ≅ △FOG by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
39
39.
With the data in the figure, △BOC ≅ △DOE by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
40
40.
With the data in the figure, △JKM ≅ △KJL by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
41
41.
With the data in the figure, △BCE ≅ △FDE by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
42
42.
With the data in the figure, △KLN ≅ △MLN by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
43
43.
With the data in the figure, △JKN ≅ △KJO by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
44
44.
With the data in the figure, △HJK ≅ △HJI by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
45
45.
With the data in the figure, △CGF ≅ △DGE by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
46
46.
With the data in the figure, △LMP ≅ △LNQ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
47
47.
With the data in the given figure, △NOQ ≅ △POQ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
48
48.
With the data in the given figure, △NOQ ≅ △ONP by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
49
49.
With the data in the given figure, △OPR ≅ △QRP by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
50
50.
With the data in the given figure, △NOQ ≅ △POQ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (ii)
5) (iv)
6) (ii)
7) (iii)
8) (ii)
9) (ii)
10) (i)
11) (iii)
12) (iii)
13) (iii)
14) (iii)
15) (ii)
16) (v)
17) (ii)
18) (i)
19) (ii)
20) (v)
21) (ii)
22) (iv)
23) (ii)
24) (i)
25) (iv)
26) (iv)
27) (v)
28) (ii)
29) (iv)
30) (i)
31) (iv)
32) (i)
33) (iii)
34) (iii)
35) (iii)
36) (v)
37) (ii)
38) (ii)
39) (i)
40) (ii)
41) (i)
42) (v)
43) (iii)
44) (iv)
45) (v)
46) (v)
47) (v)
48) (v)
49) (ii)
50) (iv)