EduSahara™ Assignment
Name : Quadrilateral Properties Using Diagrams
Chapter : Quadrilaterals
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In the given parallelogram, which of the following statements are true?
a)
NK
∥
LM
b)
LO
=
OK
c)
∠LOK
=
∠NOM
d)
LO
=
OM
e)
△ONK
≅
△OLM
(i)
{d,c}
(ii)
{a,c,e}
(iii)
{b,a}
(iv)
{b,a,c}
(v)
{b,d,e}
Question
2
2.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
BC
∥
(i)
DE
(ii)
BD
(iii)
EB
(iv)
CD
(v)
CE
Question
3
3.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OP
∥
(i)
NP
(ii)
PM
(iii)
NO
(iv)
MO
(v)
MN
Question
4
4.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
RO
∥
(i)
PQ
(ii)
QR
(iii)
OQ
(iv)
OP
(v)
PR
Question
5
5.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GH
∥
(i)
FH
(ii)
FG
(iii)
IF
(iv)
HI
(v)
GI
Question
6
6.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
FG
=
(i)
HI
(ii)
GH
(iii)
FH
(iv)
GI
(v)
IF
Question
7
7.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
CD
=
(i)
BD
(ii)
DA
(iii)
AB
(iv)
BC
(v)
AC
Question
8
8.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
GD
=
(i)
DE
(ii)
DF
(iii)
FG
(iv)
EG
(v)
EF
Question
9
9.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
LM
=
(i)
NK
(ii)
KL
(iii)
MN
(iv)
KM
(v)
LN
Question
10
10.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△LIJ
≅
(i)
△JKL
(ii)
△IJM
(iii)
△KLI
(iv)
△KLM
(v)
△IJK
Question
11
11.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△KLM
≅
(i)
△LMN
(ii)
△MJK
(iii)
△LMJ
(iv)
△JKL
(v)
△JKN
Question
12
12.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△QRO
≅
(i)
△OPQ
(ii)
△PQR
(iii)
△OPS
(iv)
△QRS
(v)
△ROP
Question
13
13.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△DEF
≅
(i)
△FGH
(ii)
△GDE
(iii)
△DEH
(iv)
△FGD
(v)
△EFG
Question
14
14.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠SPQ
=
(i)
∠RST
(ii)
∠PQR
(iii)
∠RSP
(iv)
∠QRS
(v)
∠PQT
Question
15
15.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠GHI
=
(i)
∠IFG
(ii)
∠FGJ
(iii)
∠HIJ
(iv)
∠FGH
(v)
∠HIF
Question
16
16.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠FGH
=
(i)
∠IFG
(ii)
∠FGJ
(iii)
∠GHI
(iv)
∠HIJ
(v)
∠HIF
Question
17
17.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
∠GHE
=
(i)
∠HEF
(ii)
∠GHI
(iii)
∠EFG
(iv)
∠EFI
(v)
∠FGH
Question
18
18.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HJ
=
(i)
GJ
(ii)
IJ
(iii)
IF
(iv)
FJ
(v)
GH
Question
19
19.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
DH
=
(i)
GD
(ii)
EH
(iii)
EF
(iv)
GH
(v)
FH
Question
20
20.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
RS
=
(i)
RO
(ii)
PQ
(iii)
OS
(iv)
PS
(v)
QS
Question
21
21.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
HK
=
(i)
GK
(ii)
IK
(iii)
HI
(iv)
JG
(v)
JK
Question
22
22.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GH
∥
(i)
HI
(ii)
IJ
(iii)
JG
(iv)
HJ
Question
23
23.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
QR
∥
(i)
PR
(ii)
OP
(iii)
RO
(iv)
PQ
Question
24
24.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RO
∥
(i)
QR
(ii)
PQ
(iii)
OP
(iv)
PR
Question
25
25.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KL
∥
(i)
LM
(ii)
KM
(iii)
MJ
(iv)
JK
Question
26
26.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
AB
≠
(i)
BC
(ii)
CD
(iii)
BD
(iv)
DA
Question
27
27.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
KL
≠
(i)
JL
(ii)
IJ
(iii)
JK
(iv)
LI
Question
28
28.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
KH
≠
(i)
JK
(ii)
HI
(iii)
IK
(iv)
IJ
Question
29
29.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
CD
≠
(i)
EB
(ii)
CE
(iii)
DE
(iv)
BC
Question
30
30.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△SPQ
≅
(i)
△TPQ
(ii)
△QRS
(iii)
△PQR
(iv)
△RSP
Question
31
31.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△CDE
≅
(i)
△BCD
(ii)
△FBC
(iii)
△EBC
(iv)
△DEB
Question
32
32.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△RSP
≅
(i)
△PQR
(ii)
△TPQ
(iii)
△SPQ
(iv)
△QRS
Question
33
33.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△IJK
≅
(i)
△KLI
(ii)
△MIJ
(iii)
△JKL
(iv)
△LIJ
Question
34
34.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△LHI
≇
(i)
△LHK
(ii)
△LJI
(iii)
△LJK
(iv)
△KHI
Question
35
35.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQP
≇
(i)
△SOP
(ii)
△SOR
(iii)
△SQR
(iv)
△ROP
Question
36
36.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JHI
≇
(i)
△JFG
(ii)
△JHG
(iii)
△JFI
(iv)
△IFG
Question
37
37.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JFI
≇
(i)
△JFG
(ii)
△JHG
(iii)
△JHI
(iv)
△IFG
Question
38
38.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QNO
=
(i)
∠NOR
(ii)
∠OPQ
(iii)
∠NOP
(iv)
∠PQN
Question
39
39.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠OPQ
=
(i)
∠PQN
(ii)
∠QNO
(iii)
∠NOP
(iv)
∠NOR
Question
40
40.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠OPQ
=
(i)
∠PQR
(ii)
∠OPS
(iii)
∠QRO
(iv)
∠ROP
Question
41
41.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠LMJ
=
(i)
∠JKN
(ii)
∠MJK
(iii)
∠JKL
(iv)
∠KLM
Question
42
42.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DGC
≠
(i)
∠FGE
(ii)
∠FCD
(iii)
∠EGD
(iv)
∠CGF
Question
43
43.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠KLJ
≠
(i)
∠KHI
(ii)
∠HLK
(iii)
∠JLI
(iv)
∠ILH
Question
44
44.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠BFE
≠
(i)
∠DFC
(ii)
∠EBC
(iii)
∠EFD
(iv)
∠CFB
Question
45
45.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠KMJ
≠
(i)
∠JMI
(ii)
∠LMK
(iii)
∠LIJ
(iv)
∠IML
Question
46
46.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PLM
≠
(i)
∠PNO
(ii)
∠LPO
(iii)
∠OLP
(iv)
∠MNP
Question
47
47.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PNO
≠
(i)
∠PLM
(ii)
∠OLP
(iii)
∠LPO
(iv)
∠MNP
Question
48
48.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠HEI
≠
(i)
∠IGH
(ii)
∠FGI
(iii)
∠IEF
(iv)
∠EIH
Question
49
49.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠PQS
≠
(i)
∠OSR
(ii)
∠SOP
(iii)
∠ROS
(iv)
∠SQR
Question
50
50.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠LKH
≠
(i)
∠HIL
(ii)
∠JKL
(iii)
∠KLJ
(iv)
∠LIJ
Question
51
51.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠MJK
≠
(i)
∠MLI
(ii)
∠IJM
(iii)
∠KLM
(iv)
∠LMK
Question
52
52.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠MNQ
≠
(i)
∠OPQ
(ii)
∠QNO
(iii)
∠PQO
(iv)
∠QPM
Question
53
53.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠KLM
≠
(i)
∠LMK
(ii)
∠MLI
(iii)
∠IJM
(iv)
∠MJK
Question
54
54.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RS
=
(i)
RO
(ii)
OS
(iii)
PS
(iv)
QS
Question
55
55.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
GJ
=
(i)
HJ
(ii)
IJ
(iii)
FJ
(iv)
IF
Question
56
56.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
BF
=
(i)
EF
(ii)
EB
(iii)
CF
(iv)
DF
Question
57
57.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
LN
=
(i)
MJ
(ii)
MN
(iii)
KN
(iv)
JN
Question
58
58.
In trapezium
BCDE
,
BD
and
CE
are diagonals.
Then
BC
∥
(i)
BD
(ii)
CD
(iii)
EB
(iv)
DE
(v)
CE
Question
59
59.
In trapezium
HIJK
,
HJ
and
IK
are diagonals.
Then
JK
∥
(i)
HI
(ii)
IJ
(iii)
KH
(iv)
IK
(v)
HJ
Question
60
60.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
GH
=
(i)
GI
(ii)
HJ
(iii)
IJ
(iv)
JG
(v)
HI
Question
61
61.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
DA
=
(i)
BD
(ii)
AC
(iii)
CD
(iv)
AB
(v)
BC
Question
62
62.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
HI
=
(i)
JG
(ii)
GI
(iii)
GH
(iv)
IJ
(v)
HJ
Question
63
63.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
QR
=
(i)
PR
(ii)
PQ
(iii)
OP
(iv)
RO
(v)
OQ
Question
64
64.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CDE
=
(i)
∠CGF
(ii)
∠EFD
(iii)
∠CFD
(iv)
∠EFC
(v)
∠CGD
Question
65
65.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠QRO
=
(i)
∠OSP
(ii)
∠QRP
(iii)
∠OSR
(iv)
∠OPQ
(v)
∠ORP
Question
66
66.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠GKJ
=
(i)
∠GHI
(ii)
∠GKH
(iii)
∠GJH
(iv)
∠IJG
(v)
∠IJH
Question
67
67.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CGD
=
(i)
∠CGF
(ii)
∠CDE
(iii)
∠EFC
(iv)
∠EFD
(v)
∠CFD
Question
68
68.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△GHE
≅
(i)
△IHE
(ii)
△IGF
(iii)
△HFE
(iv)
△GFE
(v)
△HFG
Question
69
69.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△EDC
≅
(i)
△FDE
(ii)
△EFC
(iii)
△GED
(iv)
△FDC
(v)
△GFC
Question
70
70.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△EDA
≅
(i)
△ECD
(ii)
△DBA
(iii)
△DBC
(iv)
△ECB
(v)
△EBA
Question
71
71.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QNM
≅
(i)
△PNO
(ii)
△QON
(iii)
△QPM
(iv)
△PNM
(v)
△QOP
Question
72
72.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△LJK
≅
(i)
△KIJ
(ii)
△LIH
(iii)
△LKH
(iv)
△KIH
(v)
△LJI
Question
73
73.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MKJ
≅
(i)
△LJI
(ii)
△MKL
(iii)
△MJI
(iv)
△LJK
(v)
△MLI
Question
74
74.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠PMQ
=
(i)
∠QOP
(ii)
∠MQP
(iii)
∠NMQ
(iv)
∠QON
(v)
∠PQO
Question
75
75.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠HGK
=
(i)
∠GKJ
(ii)
∠KIJ
(iii)
∠KIH
(iv)
∠JKI
(v)
∠JGK
Question
76
76.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠GEF
=
(i)
∠GED
(ii)
∠FGE
(iii)
∠CGF
(iv)
∠DCG
(v)
∠FCG
Question
77
77.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠NLK
=
(i)
∠JNM
(ii)
∠MJN
(iii)
∠NLM
(iv)
∠KJN
(v)
∠MNL
Question
78
78.
Which of the following figures is a regular quadrilateral?
(i)
parallelogram
(ii)
rhombus
(iii)
rectangle
(iv)
trapezium
(v)
square
Assignment Key
1) (ii)
2) (i)
3) (v)
4) (i)
5) (iii)
6) (i)
7) (iii)
8) (v)
9) (i)
10) (i)
11) (ii)
12) (i)
13) (iv)
14) (iv)
15) (i)
16) (v)
17) (iii)
18) (iv)
19) (v)
20) (iv)
21) (v)
22) (ii)
23) (ii)
24) (ii)
25) (iii)
26) (iii)
27) (i)
28) (iii)
29) (ii)
30) (ii)
31) (iii)
32) (i)
33) (i)
34) (iv)
35) (iv)
36) (iv)
37) (iv)
38) (ii)
39) (ii)
40) (iii)
41) (iii)
42) (ii)
43) (i)
44) (ii)
45) (iii)
46) (ii)
47) (iii)
48) (iv)
49) (i)
50) (iii)
51) (iv)
52) (iii)
53) (i)
54) (iii)
55) (ii)
56) (iv)
57) (iv)
58) (iv)
59) (i)
60) (iv)
61) (iv)
62) (iv)
63) (ii)
64) (iv)
65) (iv)
66) (ii)
67) (i)
68) (iv)
69) (ii)
70) (v)
71) (iii)
72) (v)
73) (ii)
74) (iii)
75) (v)
76) (i)
77) (iii)
78) (v)