EduSahara™ Assignment
Name : Congruency of Triangles
Chapter : Triangles
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In the given figure, points J , K and L are the mid-points of sides HI, IG and GH of △GHI. Which of the following are true?
a)
△LHJ ≅ △GLK
b)
△GLK ≅ △JLK
c)
△GLK ≅ △KJI
d)
△GLK ≅ △JKL
e)
△LHJ ≅ △JKL
(i)
{b,d}
(ii)
{b,e,a}
(iii)
{b,a}
(iv)
{a,c,d,e}
(v)
{b,c}
Question
2
2.
In the given figure, which of the following is true?
(i)
△GHF ≅ △RST
(ii)
△FGH ≅ △STR
(iii)
△FGH ≅ △TSR
(iv)
△FGH ≅ △RST
(v)
△FGH ≅ △TRS
Question
3
3.
In the given figure, △FGH ≅ △UTS. Which of the following are true?
a)
∠F = ∠S
b)
∠H = ∠S
c)
GH = TS
d)
GH = UT
e)
∠G = ∠T
(i)
{a,b}
(ii)
{a,d,e}
(iii)
{d,c}
(iv)
{a,b,c}
(v)
{b,c,e}
Question
4
4.
In the given figure, △DEF ≅ △SRQ. Which of the following are true?
a)
∠Q = 59°
b)
∠R = 67°
c)
∠R = 53°
d)
∠S = 53°
e)
∠Q = 67°
f)
∠S = 59°
(i)
{c,e,f}
(ii)
{b,e}
(iii)
{b,c,e}
(iv)
{a,c}
(v)
{d,a,f}
Question
5
5.
In the given figure, △FGH ≅ △TUV. Which of the following are true?
a)
UV = 12 cm
b)
VT = 13 cm
c)
TU = 12 cm
d)
UV = 13 cm
e)
VT = 16 cm
f)
TU = 13 cm
(i)
{d,b,f}
(ii)
{c,e}
(iii)
{b,a}
(iv)
{c,a,e}
(v)
{a,e,f}
Question
6
6.
In the given figure, which of the following is true?
(i)
△LNO ≅ △NLM
(ii)
△LON ≅ △LMN
(iii)
△LNO ≅ △LMN
(iv)
△LNO ≅ △LNM
(v)
△LON ≅ △MNL
Question
7
7.
With the data in the given figure, △LMO ≅ △LNO by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
8
8.
With the data in the given figure, △OJI ≅ △OHG by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
9
9.
With the given data in the figure, △IHK ≅ △JGK by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
10
10.
With the given data in the figure, △FGH ≅ △IHG by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
11
11.
With the given data in the figure, △TEF ≅ △SFE by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
12
12.
With the data in the given figure, △ADO ≅ △BCO by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
13
13.
With the data in the given figure, △HKJ ≅ △HIJ by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
14
14.
With the data in the given figure, △JEF ≅ △IFE by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
15
15.
With the data in the given figure, △TBC ≅ △UCB by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
16
16.
In the given figure, △LJK is an isosceles triangle. IM ⟂ JK passing through L. △ILJ ≅ △ILK by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
17
17.
In the given figure, DEFG is a square and △QDE is an equilateral triangle. △QGD ≅ △QFE by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
18
18.
With the data in the given figure, △DEG ≅ △DFH by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
19
19.
With the data in the given figure, △FIG ≅ △FIH by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
20
20.
With the data in the given figure, △GIH ≅ △HJG by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
21
21.
With the data in the given figure, △JKN ≅ △JLM by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
22
22.
In the given figure, △HIJ is an obtuse angled triangle. △HIK ≅ △JIK by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
23
23.
With the data in the given figure, △COD ≅ △COE by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
24
24.
With the data in the figure, △DGE ≅ △FGE by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
25
25.
With the data in the figure, △DGE ≅ △DGF by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
26
26.
With the data in the figure, △KNL ≅ △MNL by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
27
27.
With the data in the figure, △HIK ≅ △HJK by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
28
28.
With the data in the figure, △CFD ≅ △DEC by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
29
29.
With the data in the figure, △JMK ≅ △JML by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
30
30.
With the data in the figure, △COD ≅ △FOE 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, △BCE ≅ △CBD by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
32
32.
With the data in the figure, △EGH ≅ △GEF by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
33
33.
With the data in the figure, △EHF ≅ △EHG 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, △EHF ≅ △FGE by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
35
35.
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
36
36.
With the data in the figure, △HOI ≅ △JOK by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
37
37.
With the data in the figure, △DEG ≅ △EDF by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
ASA Congruency
Question
38
38.
With the data in the figure, △EFH ≅ △IGH by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
39
39.
With the data in the figure, △KLN ≅ △MLN by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
40
40.
With the data in the figure, △FGJ ≅ △GFK by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
41
41.
With the data in the figure, △ACD ≅ △ACB by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
42
42.
With the data in the figure, △DHG ≅ △EHF by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
43
43.
With the data in the figure, △OPS ≅ △OQT by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
44
44.
With the data in the given figure, △OPR ≅ △QPR by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
45
45.
With the data in the given figure, △LMO ≅ △MLN by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
46
46.
With the data in the given figure, △MNP ≅ △OPN by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
47
47.
With the data in the given figure, △PQS ≅ △RQS by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
48
48.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 1
(iii)
fig 2
(iv)
fig 4
Question
49
49.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 2
(iii)
fig 1
(iv)
fig 3
Question
50
50.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 1
(ii)
fig 3
(iii)
fig 4
(iv)
fig 2
Assignment Key
1) (iv)
2) (iv)
3) (v)
4) (i)
5) (v)
6) (i)
7) (v)
8) (ii)
9) (iv)
10) (i)
11) (v)
12) (iv)
13) (iii)
14) (iii)
15) (i)
16) (ii)
17) (iv)
18) (iv)
19) (iv)
20) (i)
21) (iii)
22) (iii)
23) (iii)
24) (iv)
25) (iv)
26) (v)
27) (v)
28) (iv)
29) (i)
30) (ii)
31) (ii)
32) (iii)
33) (iii)
34) (i)
35) (i)
36) (v)
37) (iii)
38) (iv)
39) (v)
40) (v)
41) (ii)
42) (ii)
43) (iii)
44) (iv)
45) (i)
46) (ii)
47) (iii)
48) (i)
49) (i)
50) (i)
