EduSahara™ Assignment
Name : Congruency of Triangles
Chapter : Triangles
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In the given figure, points K , L and M are the mid-points of sides IJ, JH and HI of △HIJ. Which of the following are true?
a)
△HML ≅ △KLM
b)
△HML ≅ △KML
c)
△MIK ≅ △KLM
d)
△MIK ≅ △HML
e)
△HML ≅ △LKJ
(i)
{a,c,d,e}
(ii)
{b,e,a}
(iii)
{b,c}
(iv)
{b,a}
(v)
{b,d}
Question
2
2.
In the given figure, which of the following is true?
(i)
△EFG ≅ △RSQ
(ii)
△EFG ≅ △SRQ
(iii)
△EFG ≅ △SQR
(iv)
△FGE ≅ △QRS
(v)
△EFG ≅ △QRS
Question
3
3.
In the given figure, △EFG ≅ △TSR. Which of the following are true?
a)
∠E = ∠R
b)
FG = SR
c)
FG = TS
d)
∠F = ∠S
e)
∠G = ∠R
(i)
{a,b,d}
(ii)
{b,d,e}
(iii)
{c,d}
(iv)
{a,b}
(v)
{a,c,e}
Question
4
4.
In the given figure, △BCD ≅ △TSR. Which of the following are true?
a)
∠T = 43°
b)
∠R = 43°
c)
∠R = 54°
d)
∠T = 83°
e)
∠S = 54°
f)
∠S = 83°
(i)
{d,a,c}
(ii)
{e,b,f}
(iii)
{a,c,f}
(iv)
{b,a}
(v)
{d,c}
Question
5
5.
In the given figure, △BCD ≅ △TUV. Which of the following are true?
a)
TU = 16 cm
b)
VT = 15 cm
c)
VT = 14 cm
d)
UV = 15 cm
e)
TU = 15 cm
f)
UV = 16 cm
(i)
{b,c,e}
(ii)
{b,e}
(iii)
{a,c}
(iv)
{d,a,f}
(v)
{c,e,f}
Question
6
6.
In the given figure, which of the following is true?
(i)
△ILK ≅ △IJK
(ii)
△IKL ≅ △IJK
(iii)
△ILK ≅ △JKI
(iv)
△IKL ≅ △IKJ
(v)
△IKL ≅ △KIJ
Question
7
7.
With the data in the given figure, △FGI ≅ △FHI by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
8
8.
With the data in the given figure, △OHG ≅ △OFE by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
9
9.
With the given data in the figure, △NMP ≅ △OLP by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
10
10.
With the given data in the figure, △LMN ≅ △ONM by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
11
11.
With the given data in the figure, △TJK ≅ △SKJ by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
12
12.
With the data in the given figure, △GJO ≅ △HIO by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
13
13.
With the data in the given figure, △ADC ≅ △ABC by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
14
14.
With the data in the given figure, △KFG ≅ △JGF by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
15
15.
With the data in the given figure, △TFG ≅ △UGF by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
16
16.
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)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
17
17.
In the given figure, HIJK is a square and △SHI is an equilateral triangle. △SKH ≅ △SJI by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
18
18.
With the data in the given figure, △DEG ≅ △DFH by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
19
19.
With the data in the given figure, △GJH ≅ △GJI by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
20
20.
With the data in the given figure, △IKJ ≅ △JLI by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
21
21.
With the data in the given figure, △KLO ≅ △KMN by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
22
22.
In the given figure, △CDE is an obtuse angled triangle. △CDF ≅ △EDF by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
23
23.
With the data in the given figure, △AOB ≅ △AOC by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
24
24.
With the data in the figure, △DGE ≅ △FGE by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
25
25.
With the data in the figure, △KNL ≅ △KNM by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
26
26.
With the data in the figure, △ADB ≅ △CDB by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
27
27.
With the data in the figure, △JKM ≅ △JLM by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
28
28.
With the data in the figure, △NQO ≅ △OPN by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
29
29.
With the data in the figure, △ADB ≅ △ADC by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
30
30.
With the data in the figure, △HOI ≅ △KOJ by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
31
31.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
32
32.
With the data in the figure, △DFG ≅ △FDE by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
33
33.
With the data in the figure, △GJH ≅ △GJI by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
34
34.
With the data in the figure, △FIG ≅ △GHF by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
35
35.
With the data in the figure, △HOI ≅ △JOK by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
36
36.
With the data in the figure, △IOJ ≅ △KOL by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
37
37.
With the data in the figure, △JKM ≅ △KJL by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
38
38.
With the data in the figure, △JKM ≅ △NLM by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
39
39.
With the data in the figure, △IJL ≅ △KJL by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
40
40.
With the data in the figure, △ABE ≅ △BAF 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, △HJK ≅ △HJI by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
42
42.
With the data in the figure, △GKJ ≅ △HKI by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
43
43.
With the data in the figure, △MNQ ≅ △MOR by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
44
44.
With the data in the given figure, △MNP ≅ △ONP by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
45
45.
With the data in the given figure, △PQS ≅ △QPR by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
46
46.
With the data in the given figure, △MNP ≅ △OPN by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
47
47.
With the data in the given figure, △OPR ≅ △QPR by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SSS Congruency
Question
48
48.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 2
(iii)
fig 1
(iv)
fig 3
Question
49
49.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 3
(iii)
fig 4
(iv)
fig 1
Question
50
50.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 3
(iii)
fig 1
(iv)
fig 2
Assignment Key
1) (i)
2) (v)
3) (ii)
4) (iii)
5) (v)
6) (v)
7) (i)
8) (i)
9) (iv)
10) (iv)
11) (iv)
12) (iv)
13) (v)
14) (ii)
15) (ii)
16) (ii)
17) (iii)
18) (ii)
19) (iii)
20) (iii)
21) (i)
22) (v)
23) (ii)
24) (i)
25) (ii)
26) (iv)
27) (v)
28) (i)
29) (iii)
30) (iii)
31) (ii)
32) (iii)
33) (iv)
34) (iii)
35) (iii)
36) (i)
37) (iv)
38) (ii)
39) (ii)
40) (i)
41) (v)
42) (i)
43) (v)
44) (i)
45) (ii)
46) (i)
47) (iii)
48) (ii)
49) (iv)
50) (iii)
