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)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
Question
2
2.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS 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)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
Question
5
5.
In the given figure, which of the following is true?
(i)
△DEF ≅ △TUS
(ii)
△DEF ≅ △UST
(iii)
△DEF ≅ △STU
(iv)
△DEF ≅ △UTS
(v)
△EFD ≅ △STU
Question
6
6.
In the given figure, △DEF ≅ △UTS. Which of the following are true?
a)
∠D = ∠S
b)
∠E = ∠T
c)
EF = UT
d)
∠F = ∠S
e)
EF = TS
(i)
{b,d,e}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{a,b,d}
(v)
{a,c,e}
Question
7
7.
In the given figure, △CDE ≅ △UTS. Which of the following are true?
a)
∠U = 73°
b)
∠S = 51°
c)
∠T = 57°
d)
∠T = 51°
e)
∠S = 73°
f)
∠U = 57°
(i)
{d,a}
(ii)
{e,b}
(iii)
{e,a,b}
(iv)
{a,b,c}
(v)
{f,d,c}
Question
8
8.
In the given figure, △BCD ≅ △STU. Which of the following are true?
a)
US = 12 cm
b)
TU = 15 cm
c)
TU = 11 cm
d)
US = 15 cm
e)
ST = 11 cm
f)
ST = 15 cm
(i)
{b,a}
(ii)
{a,c,f}
(iii)
{e,b,f}
(iv)
{d,c}
(v)
{d,a,c}
Question
9
9.
With the data in the given figure, △CDF ≅ △CEF by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
10
10.
With the data in the given figure, △OED ≅ △OCB by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
11
11.
With the given data in the figure, △JIL ≅ △KHL by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
12
12.
With the given data in the figure, △DEF ≅ △FGD by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
13
13.
With the given data in the figure, △FGH ≅ △IHG by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
14
14.
With the given data in the figure, △UFG ≅ △TGF by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
15
15.
With the data in the given figure, △GJO ≅ △HIO by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
16
16.
With the data in the given figure, △CFE ≅ △CDE by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
17
17.
With the data in the given figure, △GBC ≅ △FCB by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
18
18.
With the data in the given figure, △QBC ≅ △RCB by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
19
19.
In the given figure, △HFG is an isosceles triangle. EI ⟂ FG passing through H. △EHF ≅ △EHG by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
20
20.
In the given figure, FGHI is a square and △RFG is an equilateral triangle. △RIF ≅ △RHG by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
21
21.
With the data in the given figure, △JKM ≅ △JLN by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
22
22.
With the data in the given figure, △HKI ≅ △HKJ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
23
23.
With the data in the given figure, △MON ≅ △NPM by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
24
24.
With the data in the given figure, △JKN ≅ △JLM by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
25
25.
In the given figure, △KLM is an obtuse angled triangle. △KLN ≅ △MLN by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
26
26.
With the data in the given figure, △AOB ≅ △AOC by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
27
27.
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
28
28.
With the data in the figure, △ADB ≅ △ADC by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
29
29.
With the data in the figure, △ADB ≅ △CDB by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
30
30.
With the data in the figure, △EFH ≅ △EGH by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
31
31.
With the data in the figure, △MPN ≅ △NOM 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, △EHF ≅ △EHG by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
33
33.
With the data in the figure, △EOF ≅ △HOG by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
34
34.
With the data in the figure, △FGI ≅ △GFH by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
35
35.
With the data in the figure, △HJK ≅ △JHI by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
36
36.
With the data in the figure, △BEC ≅ △BED by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
37
37.
With the data in the figure, △HKI ≅ △IJH by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
38
38.
With the data in the figure, △HOI ≅ △JOK by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
39
39.
With the data in the figure, △EOF ≅ △GOH by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
40
40.
With the data in the figure, △IJL ≅ △JIK by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SAS Congruency
Question
41
41.
With the data in the figure, △FGI ≅ △JHI by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
42
42.
With the data in the figure, △EFH ≅ △GFH by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
43
43.
With the data in the figure, △LMP ≅ △MLQ by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
44
44.
With the data in the figure, △DFG ≅ △DFE by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
45
45.
With the data in the figure, △HLK ≅ △ILJ by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
46
46.
With the data in the figure, △MNQ ≅ △MOR by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
47
47.
With the data in the given figure, △NOQ ≅ △POQ by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
48
48.
With the data in the given figure, △OPR ≅ △POQ by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
49
49.
With the data in the given figure, △OPR ≅ △QRP by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
50
50.
With the data in the given figure, △OPR ≅ △QPR by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Assignment Key
1) (iii)
2) (iii)
3) (iii)
4) (iv)
5) (iii)
6) (i)
7) (iv)
8) (ii)
9) (iv)
10) (ii)
11) (ii)
12) (ii)
13) (i)
14) (v)
15) (iii)
16) (iii)
17) (iv)
18) (i)
19) (iii)
20) (iv)
21) (iii)
22) (iv)
23) (ii)
24) (iv)
25) (i)
26) (ii)
27) (ii)
28) (ii)
29) (iv)
30) (ii)
31) (iv)
32) (iii)
33) (iv)
34) (iv)
35) (ii)
36) (v)
37) (v)
38) (iv)
39) (ii)
40) (iii)
41) (iv)
42) (iv)
43) (v)
44) (v)
45) (v)
46) (i)
47) (v)
48) (v)
49) (v)
50) (i)