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)
NO
∥
PQ
b)
OR
=
RN
c)
∠OPQ
=
∠QNO
d)
QN
∥
OP
e)
OR
=
RP
(i)
{e,c}
(ii)
{a,c,d}
(iii)
{b,a,c}
(iv)
{b,a}
(v)
{b,e,d}
Question
2
2.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
IJ
∥
(i)
LI
(ii)
JL
(iii)
IK
(iv)
KL
(v)
JK
Question
3
3.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
PQ
∥
(i)
OP
(ii)
OQ
(iii)
NP
(iv)
QN
(v)
NO
Question
4
4.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
QN
∥
(i)
PQ
(ii)
OP
(iii)
NO
(iv)
OQ
(v)
NP
Question
5
5.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QR
∥
(i)
PR
(ii)
RS
(iii)
PQ
(iv)
SP
(v)
QS
Question
6
6.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
PQ
=
(i)
QS
(ii)
QR
(iii)
SP
(iv)
RS
(v)
PR
Question
7
7.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
GH
=
(i)
FG
(ii)
EF
(iii)
EG
(iv)
FH
(v)
HE
Question
8
8.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
=
(i)
NO
(ii)
LM
(iii)
LN
(iv)
MO
(v)
MN
Question
9
9.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BC
=
(i)
DA
(ii)
CD
(iii)
BD
(iv)
AB
(v)
AC
Question
10
10.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
△FCD
≅
(i)
△EFC
(ii)
△DEF
(iii)
△EFG
(iv)
△CDG
(v)
△CDE
Question
11
11.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
△LMN
≅
(i)
△MNO
(ii)
△MNK
(iii)
△NKL
(iv)
△KLM
(v)
△KLO
Question
12
12.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△DEB
≅
(i)
△BCF
(ii)
△EBC
(iii)
△DEF
(iv)
△BCD
(v)
△CDE
Question
13
13.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△JKL
≅
(i)
△JKN
(ii)
△LMJ
(iii)
△KLM
(iv)
△MJK
(v)
△LMN
Question
14
14.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠PMN
=
(i)
∠MNQ
(ii)
∠MNO
(iii)
∠OPQ
(iv)
∠NOP
(v)
∠OPM
Question
15
15.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠QRS
=
(i)
∠PQT
(ii)
∠RSP
(iii)
∠RST
(iv)
∠PQR
(v)
∠SPQ
Question
16
16.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠HIJ
=
(i)
∠JKL
(ii)
∠IJK
(iii)
∠HIL
(iv)
∠JKH
(v)
∠KHI
Question
17
17.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠LMJ
=
(i)
∠JKL
(ii)
∠JKN
(iii)
∠MJK
(iv)
∠LMN
(v)
∠KLM
Question
18
18.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HJ
=
(i)
IF
(ii)
IJ
(iii)
GJ
(iv)
FJ
(v)
GH
Question
19
19.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EI
=
(i)
HE
(ii)
HI
(iii)
FI
(iv)
FG
(v)
GI
Question
20
20.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
LM
=
(i)
LI
(ii)
KM
(iii)
JM
(iv)
JK
(v)
IM
Question
21
21.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
HK
=
(i)
JG
(ii)
HI
(iii)
JK
(iv)
GK
(v)
IK
Question
22
22.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
LM
∥
(i)
OL
(ii)
MO
(iii)
MN
(iv)
NO
Question
23
23.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
FG
∥
(i)
EF
(ii)
GD
(iii)
DE
(iv)
EG
Question
24
24.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
FC
∥
(i)
DE
(ii)
CD
(iii)
DF
(iv)
EF
Question
25
25.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
IJ
∥
(i)
IK
(ii)
KH
(iii)
JK
(iv)
HI
Question
26
26.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
MN
≠
(i)
NO
(ii)
PM
(iii)
OP
(iv)
NP
Question
27
27.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
GH
≠
(i)
HE
(ii)
FG
(iii)
FH
(iv)
EF
Question
28
28.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
JG
≠
(i)
HJ
(ii)
GH
(iii)
HI
(iv)
IJ
Question
29
29.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
QR
≠
(i)
RS
(ii)
PQ
(iii)
SP
(iv)
QS
Question
30
30.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△SPQ
≅
(i)
△TPQ
(ii)
△QRS
(iii)
△RSP
(iv)
△PQR
Question
31
31.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△KLM
≅
(i)
△NJK
(ii)
△JKL
(iii)
△MJK
(iv)
△LMJ
Question
32
32.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△CDA
≅
(i)
△ABC
(ii)
△DAB
(iii)
△BCD
(iv)
△EAB
Question
33
33.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△OPQ
≅
(i)
△ROP
(ii)
△QRO
(iii)
△SOP
(iv)
△PQR
Question
34
34.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△LHI
≇
(i)
△KHI
(ii)
△LHK
(iii)
△LJI
(iv)
△LJK
Question
35
35.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQP
≇
(i)
△SOP
(ii)
△SOR
(iii)
△ROP
(iv)
△SQR
Question
36
36.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRS
≇
(i)
△TPQ
(ii)
△TRQ
(iii)
△TPS
(iv)
△SPQ
Question
37
37.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△EAD
≇
(i)
△EAB
(ii)
△ECB
(iii)
△DAB
(iv)
△ECD
Question
38
38.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠NKL
=
(i)
∠KLO
(ii)
∠MNK
(iii)
∠LMN
(iv)
∠KLM
Question
39
39.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠MNO
=
(i)
∠LMP
(ii)
∠OLM
(iii)
∠LMN
(iv)
∠NOL
Question
40
40.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠DEF
=
(i)
∠EFG
(ii)
∠GDE
(iii)
∠DEH
(iv)
∠FGD
Question
41
41.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠MNK
=
(i)
∠LMN
(ii)
∠NKL
(iii)
∠KLM
(iv)
∠KLO
Question
42
42.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠ILH
≠
(i)
∠JLI
(ii)
∠HLK
(iii)
∠KLJ
(iv)
∠KHI
Question
43
43.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠KLJ
≠
(i)
∠KHI
(ii)
∠ILH
(iii)
∠JLI
(iv)
∠HLK
Question
44
44.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠CGF
≠
(i)
∠EGD
(ii)
∠FGE
(iii)
∠FCD
(iv)
∠DGC
Question
45
45.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠JLI
≠
(i)
∠KLJ
(ii)
∠ILH
(iii)
∠HLK
(iv)
∠KHI
Question
46
46.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SOP
≠
(i)
∠PQS
(ii)
∠OSR
(iii)
∠SQR
(iv)
∠ROS
Question
47
47.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SQR
≠
(i)
∠ROS
(ii)
∠PQS
(iii)
∠SOP
(iv)
∠OSR
Question
48
48.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠OLP
≠
(i)
∠PNO
(ii)
∠PLM
(iii)
∠MNP
(iv)
∠LPO
Question
49
49.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠EFH
≠
(i)
∠GDH
(ii)
∠HFG
(iii)
∠HDE
(iv)
∠DHG
Question
50
50.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TSP
≠
(i)
∠PQT
(ii)
∠TQR
(iii)
∠RST
(iv)
∠STR
Question
51
51.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PMN
≠
(i)
∠POL
(ii)
∠OPN
(iii)
∠NOP
(iv)
∠LMP
Question
52
52.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠OPS
≠
(i)
∠SPQ
(ii)
∠SRO
(iii)
∠QRS
(iv)
∠RSQ
Question
53
53.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠KLM
≠
(i)
∠LMK
(ii)
∠IJM
(iii)
∠MJK
(iv)
∠MLI
Question
54
54.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
ST
=
(i)
QT
(ii)
SP
(iii)
RT
(iv)
PT
Question
55
55.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
IL
=
(i)
HL
(ii)
KH
(iii)
JL
(iv)
KL
Question
56
56.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
HL
=
(i)
KH
(ii)
IL
(iii)
JL
(iv)
KL
Question
57
57.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
FH
=
(i)
GD
(ii)
GH
(iii)
DH
(iv)
EH
Question
58
58.
In trapezium
CDEF
,
CE
and
DF
are diagonals.
Then
CD
∥
(i)
FC
(ii)
DF
(iii)
CE
(iv)
EF
(v)
DE
Question
59
59.
In trapezium
OPQR
,
OQ
and
PR
are diagonals.
Then
QR
∥
(i)
PQ
(ii)
RO
(iii)
OP
(iv)
OQ
(v)
PR
Question
60
60.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
PQ
=
(i)
PR
(ii)
SP
(iii)
QR
(iv)
QS
(v)
RS
Question
61
61.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
PM
=
(i)
MO
(ii)
OP
(iii)
NO
(iv)
MN
(v)
NP
Question
62
62.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
GH
=
(i)
GI
(ii)
HI
(iii)
IF
(iv)
FH
(v)
FG
Question
63
63.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
GH
=
(i)
FG
(ii)
EG
(iii)
HE
(iv)
EF
(v)
FH
Question
64
64.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠BCD
=
(i)
∠BFC
(ii)
∠DEB
(iii)
∠BFE
(iv)
∠DEC
(v)
∠BEC
Question
65
65.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠JKH
=
(i)
∠HKI
(ii)
∠HLI
(iii)
∠HIJ
(iv)
∠JKI
(v)
∠HLK
Question
66
66.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠DHG
=
(i)
∠FGD
(ii)
∠DEF
(iii)
∠DHE
(iv)
∠FGE
(v)
∠DGE
Question
67
67.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠GKH
=
(i)
∠IJG
(ii)
∠GJH
(iii)
∠GHI
(iv)
∠GKJ
(v)
∠IJH
Question
68
68.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△QRO
≅
(i)
△SQP
(ii)
△SRO
(iii)
△QPO
(iv)
△RPQ
(v)
△RPO
Question
69
69.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△FED
≅
(i)
△FGD
(ii)
△GED
(iii)
△GEF
(iv)
△HGD
(v)
△HFE
Question
70
70.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SRO
≅
(i)
△RPO
(ii)
△RPQ
(iii)
△SQR
(iv)
△SQP
(v)
△SPO
Question
71
71.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OLK
≅
(i)
△OMN
(ii)
△ONK
(iii)
△OML
(iv)
△NLM
(v)
△NLK
Question
72
72.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△PNO
≅
(i)
△PML
(ii)
△OML
(iii)
△POL
(iv)
△PNM
(v)
△OMN
Question
73
73.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FDC
≅
(i)
△ECB
(ii)
△FCB
(iii)
△FDE
(iv)
△ECD
(v)
△FEB
Question
74
74.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠DAE
=
(i)
∠BAE
(ii)
∠AED
(iii)
∠DEC
(iv)
∠ECD
(v)
∠ECB
Question
75
75.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠DCG
=
(i)
∠FCG
(ii)
∠GED
(iii)
∠GEF
(iv)
∠FGE
(v)
∠CGF
Question
76
76.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠TRS
=
(i)
∠TRQ
(ii)
∠PTS
(iii)
∠QPT
(iv)
∠SPT
(v)
∠STR
Question
77
77.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠GED
=
(i)
∠FCG
(ii)
∠DCG
(iii)
∠FGE
(iv)
∠GEF
(v)
∠CGF
Assignment Key
1) (ii)
2) (iv)
3) (v)
4) (ii)
5) (iv)
6) (iv)
7) (ii)
8) (v)
9) (i)
10) (ii)
11) (iii)
12) (iv)
13) (ii)
14) (iv)
15) (v)
16) (iv)
17) (i)
18) (iv)
19) (v)
20) (iii)
21) (iii)
22) (iv)
23) (iii)
24) (i)
25) (ii)
26) (iv)
27) (iii)
28) (i)
29) (iv)
30) (ii)
31) (iii)
32) (i)
33) (ii)
34) (i)
35) (iii)
36) (iv)
37) (iii)
38) (iii)
39) (ii)
40) (iv)
41) (iii)
42) (iv)
43) (i)
44) (iii)
45) (iv)
46) (ii)
47) (iv)
48) (iv)
49) (iv)
50) (iv)
51) (ii)
52) (iv)
53) (i)
54) (i)
55) (iv)
56) (iii)
57) (iii)
58) (iv)
59) (iii)
60) (ii)
61) (iv)
62) (ii)
63) (i)
64) (ii)
65) (iii)
66) (iii)
67) (iv)
68) (iii)
69) (i)
70) (v)
71) (ii)
72) (iv)
73) (iii)
74) (i)
75) (i)
76) (i)
77) (iv)