EduSahara™ Assignment
Name : Quadrilateral Properties Using Diagrams
Chapter : Quadrilaterals
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
In the given parallelogram, which of the following statements are true?
a)
O
is the mid point of
KM
b)
∠LOK
=
∠NOM
c)
LO
=
OK
d)
△LNK
≅
△MNK
e)
∠LMN
=
∠NKL
(i)
{a,b,e}
(ii)
{d,b}
(iii)
{c,d,e}
(iv)
{c,a}
(v)
{c,a,b}
Question
2
2.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
∥
(i)
HE
(ii)
FH
(iii)
EG
(iv)
GH
(v)
FG
Question
3
3.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
RS
∥
(i)
QS
(ii)
QR
(iii)
PQ
(iv)
SP
(v)
PR
Question
4
4.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
RO
∥
(i)
OQ
(ii)
QR
(iii)
PQ
(iv)
PR
(v)
OP
Question
5
5.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GH
∥
(i)
FH
(ii)
HI
(iii)
FG
(iv)
GI
(v)
IF
Question
6
6.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
PQ
=
(i)
QR
(ii)
RS
(iii)
SP
(iv)
QS
(v)
PR
Question
7
7.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QR
=
(i)
PQ
(ii)
RO
(iii)
PR
(iv)
OQ
(v)
OP
Question
8
8.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
FC
=
(i)
DF
(ii)
DE
(iii)
EF
(iv)
CD
(v)
CE
Question
9
9.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
PQ
=
(i)
OP
(ii)
PR
(iii)
RO
(iv)
OQ
(v)
QR
Question
10
10.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△MJK
≅
(i)
△LMN
(ii)
△JKN
(iii)
△JKL
(iv)
△KLM
(v)
△LMJ
Question
11
11.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△FGH
≅
(i)
△HEF
(ii)
△GHE
(iii)
△GHI
(iv)
△EFG
(v)
△EFI
Question
12
12.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△RSP
≅
(i)
△PQR
(ii)
△SPQ
(iii)
△RST
(iv)
△PQT
(v)
△QRS
Question
13
13.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△GHI
≅
(i)
△GHK
(ii)
△HIJ
(iii)
△JGH
(iv)
△IJG
(v)
△IJK
Question
14
14.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠OLM
=
(i)
∠NOL
(ii)
∠NOP
(iii)
∠LMN
(iv)
∠LMP
(v)
∠MNO
Question
15
15.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
∠OPQ
=
(i)
∠NOP
(ii)
∠PQR
(iii)
∠QNO
(iv)
∠PQN
(v)
∠NOR
Question
16
16.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠HIJ
=
(i)
∠KHI
(ii)
∠IJK
(iii)
∠JKL
(iv)
∠HIL
(v)
∠JKH
Question
17
17.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠KLI
=
(i)
∠IJM
(ii)
∠LIJ
(iii)
∠JKL
(iv)
∠KLM
(v)
∠IJK
Question
18
18.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
IK
=
(i)
JG
(ii)
GK
(iii)
HI
(iv)
JK
(v)
HK
Question
19
19.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KO
=
(i)
NK
(ii)
MO
(iii)
LM
(iv)
LO
(v)
NO
Question
20
20.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
RS
=
(i)
QS
(ii)
PS
(iii)
PQ
(iv)
RO
(v)
OS
Question
21
21.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
EH
=
(i)
DH
(ii)
EF
(iii)
FH
(iv)
GD
(v)
GH
Question
22
22.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FG
∥
(i)
HI
(ii)
IF
(iii)
GH
(iv)
GI
Question
23
23.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
MN
∥
(i)
KL
(ii)
LM
(iii)
NK
(iv)
LN
Question
24
24.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
IF
∥
(i)
FG
(ii)
GI
(iii)
HI
(iv)
GH
Question
25
25.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
CD
∥
(i)
CE
(ii)
DE
(iii)
EB
(iv)
BC
Question
26
26.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
AB
≠
(i)
DA
(ii)
CD
(iii)
BD
(iv)
BC
Question
27
27.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
CD
≠
(i)
DA
(ii)
BC
(iii)
BD
(iv)
AB
Question
28
28.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
JG
≠
(i)
HI
(ii)
HJ
(iii)
IJ
(iv)
GH
Question
29
29.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
LM
≠
(i)
MN
(ii)
KL
(iii)
NK
(iv)
LN
Question
30
30.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△KHI
≅
(i)
△LHI
(ii)
△HIJ
(iii)
△IJK
(iv)
△JKH
Question
31
31.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△NOP
≅
(i)
△MNO
(ii)
△PMN
(iii)
△OPM
(iv)
△QMN
Question
32
32.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△KLI
≅
(i)
△JKL
(ii)
△MIJ
(iii)
△LIJ
(iv)
△IJK
Question
33
33.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△BCD
≅
(i)
△DEB
(ii)
△EBC
(iii)
△FBC
(iv)
△CDE
Question
34
34.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△GCD
≇
(i)
△FCD
(ii)
△GED
(iii)
△GEF
(iv)
△GCF
Question
35
35.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△GED
≇
(i)
△GCD
(ii)
△GCF
(iii)
△FCD
(iv)
△GEF
Question
36
36.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QOP
≇
(i)
△PMN
(ii)
△QON
(iii)
△QMN
(iv)
△QMP
Question
37
37.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SOR
≇
(i)
△SQR
(ii)
△ROP
(iii)
△SQP
(iv)
△SOP
Question
38
38.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠NKL
=
(i)
∠MNK
(ii)
∠KLM
(iii)
∠LMN
(iv)
∠KLO
Question
39
39.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠BCD
=
(i)
∠ABC
(ii)
∠CDA
(iii)
∠ABE
(iv)
∠DAB
Question
40
40.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠JKL
=
(i)
∠JKN
(ii)
∠LMJ
(iii)
∠MJK
(iv)
∠KLM
Question
41
41.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠OPM
=
(i)
∠MNO
(ii)
∠PMN
(iii)
∠MNQ
(iv)
∠NOP
Question
42
42.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠CFB
≠
(i)
∠DFC
(ii)
∠BFE
(iii)
∠EFD
(iv)
∠EBC
Question
43
43.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QRP
≠
(i)
∠ORN
(ii)
∠PRO
(iii)
∠QNO
(iv)
∠NRQ
Question
44
44.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠LPO
≠
(i)
∠NPM
(ii)
∠MPL
(iii)
∠OPN
(iv)
∠OLM
Question
45
45.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠OQN
≠
(i)
∠NQM
(ii)
∠PQO
(iii)
∠PMN
(iv)
∠MQP
Question
46
46.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QMN
≠
(i)
∠QOP
(ii)
∠PMQ
(iii)
∠NOQ
(iv)
∠MQP
Question
47
47.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠MKL
≠
(i)
∠JKM
(ii)
∠LIM
(iii)
∠IML
(iv)
∠MIJ
Question
48
48.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠PMQ
≠
(i)
∠QOP
(ii)
∠NOQ
(iii)
∠MQP
(iv)
∠QMN
Question
49
49.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠CDF
≠
(i)
∠BFE
(ii)
∠EBF
(iii)
∠FDE
(iv)
∠FBC
Question
50
50.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠NMJ
≠
(i)
∠NKL
(ii)
∠MNL
(iii)
∠JKN
(iv)
∠LMN
Question
51
51.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠HEF
≠
(i)
∠GHF
(ii)
∠DEH
(iii)
∠FGH
(iv)
∠HGD
Question
52
52.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠JKN
≠
(i)
∠LMN
(ii)
∠NKL
(iii)
∠MNL
(iv)
∠NMJ
Question
53
53.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠PQR
≠
(i)
∠ROP
(ii)
∠NOR
(iii)
∠RQN
(iv)
∠QRP
Question
54
54.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
NO
=
(i)
NK
(ii)
LO
(iii)
MO
(iv)
KO
Question
55
55.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
HK
=
(i)
IK
(ii)
GK
(iii)
JG
(iv)
JK
Question
56
56.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
PT
=
(i)
SP
(ii)
RT
(iii)
ST
(iv)
QT
Question
57
57.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
GI
=
(i)
FI
(ii)
EI
(iii)
HI
(iv)
HE
Question
58
58.
In trapezium
MNOP
,
MO
and
NP
are diagonals.
Then
MN
∥
(i)
NP
(ii)
OP
(iii)
MO
(iv)
PM
(v)
NO
Question
59
59.
In trapezium
CDEF
,
CE
and
DF
are diagonals.
Then
EF
∥
(i)
FC
(ii)
DF
(iii)
CD
(iv)
DE
(v)
CE
Question
60
60.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
CD
=
(i)
CE
(ii)
DF
(iii)
DE
(iv)
FC
(v)
EF
Question
61
61.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
QN
=
(i)
PQ
(ii)
OQ
(iii)
OP
(iv)
NO
(v)
NP
Question
62
62.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
EF
=
(i)
DE
(ii)
GD
(iii)
FG
(iv)
EG
(v)
DF
Question
63
63.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
LM
=
(i)
JL
(ii)
KM
(iii)
KL
(iv)
JK
(v)
MJ
Question
64
64.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠NOP
=
(i)
∠NRQ
(ii)
∠NQO
(iii)
∠PQO
(iv)
∠NRO
(v)
∠PQN
Question
65
65.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠LMJ
=
(i)
∠JKL
(ii)
∠JNK
(iii)
∠JNM
(iv)
∠LMK
(v)
∠JMK
Question
66
66.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠DHG
=
(i)
∠FGD
(ii)
∠DGE
(iii)
∠FGE
(iv)
∠DEF
(v)
∠DHE
Question
67
67.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠HLI
=
(i)
∠JKI
(ii)
∠HKI
(iii)
∠HLK
(iv)
∠HIJ
(v)
∠JKH
Question
68
68.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△LMJ
≅
(i)
△NLK
(ii)
△NMJ
(iii)
△MKL
(iv)
△MKJ
(v)
△LKJ
Question
69
69.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△NML
≅
(i)
△OML
(ii)
△OMN
(iii)
△POL
(iv)
△PNM
(v)
△NOL
Question
70
70.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JIF
≅
(i)
△JHI
(ii)
△JGF
(iii)
△IGH
(iv)
△JHG
(v)
△IGF
Question
71
71.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SPO
≅
(i)
△SRO
(ii)
△SQP
(iii)
△RPQ
(iv)
△SQR
(v)
△RPO
Question
72
72.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OMN
≅
(i)
△OML
(ii)
△NLM
(iii)
△OLK
(iv)
△ONK
(v)
△NLK
Question
73
73.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GED
≅
(i)
△FDE
(ii)
△GFC
(iii)
△FDC
(iv)
△GDC
(v)
△GEF
Question
74
74.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠IFJ
=
(i)
∠JHI
(ii)
∠GFJ
(iii)
∠FJI
(iv)
∠IJH
(v)
∠JHG
Question
75
75.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠MLP
=
(i)
∠OPN
(ii)
∠PNM
(iii)
∠OLP
(iv)
∠LPO
(v)
∠PNO
Question
76
76.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠LJK
=
(i)
∠KLJ
(ii)
∠LJI
(iii)
∠IHL
(iv)
∠KHL
(v)
∠HLK
Question
77
77.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠RPO
=
(i)
∠ONR
(ii)
∠QNR
(iii)
∠QRP
(iv)
∠NRQ
(v)
∠RPQ
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (iii)
5) (v)
6) (ii)
7) (v)
8) (ii)
9) (iii)
10) (iv)
11) (i)
12) (i)
13) (iv)
14) (v)
15) (iii)
16) (v)
17) (v)
18) (ii)
19) (ii)
20) (ii)
21) (v)
22) (i)
23) (i)
24) (iv)
25) (iii)
26) (iii)
27) (iii)
28) (ii)
29) (iv)
30) (iii)
31) (ii)
32) (iv)
33) (i)
34) (i)
35) (iii)
36) (i)
37) (ii)
38) (iii)
39) (iv)
40) (ii)
41) (i)
42) (iv)
43) (iii)
44) (iv)
45) (iii)
46) (iv)
47) (iii)
48) (iii)
49) (i)
50) (ii)
51) (i)
52) (iii)
53) (iv)
54) (ii)
55) (iv)
56) (ii)
57) (ii)
58) (ii)
59) (iii)
60) (iv)
61) (iv)
62) (iii)
63) (iii)
64) (v)
65) (i)
66) (v)
67) (iii)
68) (v)
69) (v)
70) (ii)
71) (i)
72) (i)
73) (v)
74) (ii)
75) (iii)
76) (ii)
77) (v)