EduSahara™ Assignment
Name : Quadrilateral Properties Using Diagrams
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In the given parallelogram, which of the following statements are true?
a)
∠PSO
=
∠RSQ
b)
△SOP
≅
△SQR
c)
PS
=
SO
d)
PS
=
SQ
e)
PS
=
RS
(i)
{c,a,b}
(ii)
{c,a}
(iii)
{c,d,e}
(iv)
{a,b,e}
(v)
{d,b}
Question
2
2.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
LM
∥
(i)
NO
(ii)
MO
(iii)
LN
(iv)
OL
(v)
MN
Question
3
3.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
EF
∥
(i)
CE
(ii)
DE
(iii)
FC
(iv)
CD
(v)
DF
Question
4
4.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
LI
∥
(i)
IJ
(ii)
KL
(iii)
IK
(iv)
JK
(v)
JL
Question
5
5.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
KL
∥
(i)
KM
(ii)
JK
(iii)
MJ
(iv)
JL
(v)
LM
Question
6
6.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
BC
=
(i)
CE
(ii)
BD
(iii)
DE
(iv)
EB
(v)
CD
Question
7
7.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JK
=
(i)
HJ
(ii)
KH
(iii)
IJ
(iv)
IK
(v)
HI
Question
8
8.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
MJ
=
(i)
JL
(ii)
KL
(iii)
LM
(iv)
JK
(v)
KM
Question
9
9.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
JK
=
(i)
LI
(ii)
IK
(iii)
JL
(iv)
IJ
(v)
KL
Question
10
10.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△QNO
≅
(i)
△NOR
(ii)
△PQN
(iii)
△PQR
(iv)
△OPQ
(v)
△NOP
Question
11
11.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△GHI
≅
(i)
△IFG
(ii)
△HIJ
(iii)
△FGH
(iv)
△FGJ
(v)
△HIF
Question
12
12.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△PQN
≅
(i)
△NOP
(ii)
△NOR
(iii)
△OPQ
(iv)
△QNO
(v)
△PQR
Question
13
13.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△GHI
≅
(i)
△JGH
(ii)
△HIJ
(iii)
△GHK
(iv)
△IJK
(v)
△IJG
Question
14
14.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠PMN
=
(i)
∠NOP
(ii)
∠OPM
(iii)
∠MNQ
(iv)
∠OPQ
(v)
∠MNO
Question
15
15.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠QRS
=
(i)
∠PQT
(ii)
∠RST
(iii)
∠RSP
(iv)
∠SPQ
(v)
∠PQR
Question
16
16.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠OPQ
=
(i)
∠ROP
(ii)
∠QRO
(iii)
∠QRS
(iv)
∠PQR
(v)
∠OPS
Question
17
17.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
∠MNK
=
(i)
∠KLO
(ii)
∠NKL
(iii)
∠KLM
(iv)
∠LMN
(v)
∠MNO
Question
18
18.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
NP
=
(i)
LP
(ii)
MN
(iii)
MP
(iv)
OL
(v)
OP
Question
19
19.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
NQ
=
(i)
PQ
(ii)
OQ
(iii)
NO
(iv)
PM
(v)
MQ
Question
20
20.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GH
∥
(i)
HI
(ii)
IJ
(iii)
JG
(iv)
HJ
Question
21
21.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
LM
∥
(i)
KL
(ii)
KM
(iii)
MJ
(iv)
JK
Question
22
22.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
SP
∥
(i)
PQ
(ii)
QR
(iii)
QS
(iv)
RS
Question
23
23.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
OP
∥
(i)
QN
(ii)
PQ
(iii)
NO
(iv)
OQ
Question
24
24.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FG
≠
(i)
GI
(ii)
HI
(iii)
GH
(iv)
IF
Question
25
25.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
RS
≠
(i)
SP
(ii)
PQ
(iii)
QR
(iv)
QS
Question
26
26.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RO
≠
(i)
QR
(ii)
PQ
(iii)
PR
(iv)
OP
Question
27
27.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
MN
≠
(i)
NO
(ii)
OL
(iii)
LM
(iv)
MO
Question
28
28.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△SPQ
≅
(i)
△RSP
(ii)
△PQR
(iii)
△TPQ
(iv)
△QRS
Question
29
29.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△CDE
≅
(i)
△DEB
(ii)
△FBC
(iii)
△BCD
(iv)
△EBC
Question
30
30.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△MNK
≅
(i)
△OKL
(ii)
△NKL
(iii)
△KLM
(iv)
△LMN
Question
31
31.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△CDE
≅
(i)
△DEF
(ii)
△FCD
(iii)
△EFC
(iv)
△GCD
Question
32
32.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OKL
≇
(i)
△OMN
(ii)
△OKN
(iii)
△OML
(iv)
△NKL
Question
33
33.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MKJ
≇
(i)
△MIL
(ii)
△MKL
(iii)
△MIJ
(iv)
△LIJ
Question
34
34.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OMN
≇
(i)
△OKL
(ii)
△NKL
(iii)
△OKN
(iv)
△OML
Question
35
35.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SOR
≇
(i)
△SQP
(ii)
△SOP
(iii)
△SQR
(iv)
△ROP
Question
36
36.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MJK
=
(i)
∠JKN
(ii)
∠KLM
(iii)
∠LMJ
(iv)
∠JKL
Question
37
37.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠NOP
=
(i)
∠MNO
(ii)
∠OPM
(iii)
∠MNQ
(iv)
∠PMN
Question
38
38.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠PQR
=
(i)
∠SPQ
(ii)
∠QRS
(iii)
∠RSP
(iv)
∠PQT
Question
39
39.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠HIF
=
(i)
∠IFG
(ii)
∠FGJ
(iii)
∠FGH
(iv)
∠GHI
Question
40
40.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠CFB
≠
(i)
∠EBC
(ii)
∠EFD
(iii)
∠DFC
(iv)
∠BFE
Question
41
41.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠OPN
≠
(i)
∠MPL
(ii)
∠NPM
(iii)
∠LPO
(iv)
∠OLM
Question
42
42.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠GKJ
≠
(i)
∠JKI
(ii)
∠HKG
(iii)
∠JGH
(iv)
∠IKH
Question
43
43.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠OQN
≠
(i)
∠PQO
(ii)
∠MQP
(iii)
∠PMN
(iv)
∠NQM
Question
44
44.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠HDE
≠
(i)
∠EFH
(ii)
∠DHG
(iii)
∠GDH
(iv)
∠HFG
Question
45
45.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠KIJ
≠
(i)
∠GKJ
(ii)
∠JGK
(iii)
∠HIK
(iv)
∠KGH
Question
46
46.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠PMQ
≠
(i)
∠NOQ
(ii)
∠QOP
(iii)
∠QMN
(iv)
∠MQP
Question
47
47.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠BCE
≠
(i)
∠DAE
(ii)
∠EAB
(iii)
∠AED
(iv)
∠ECD
Question
48
48.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SRO
≠
(i)
∠SPQ
(ii)
∠OPS
(iii)
∠RSQ
(iv)
∠QRS
Question
49
49.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PMN
≠
(i)
∠OPN
(ii)
∠NOP
(iii)
∠LMP
(iv)
∠POL
Question
50
50.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠LMP
≠
(i)
∠PMN
(ii)
∠NOP
(iii)
∠OPN
(iv)
∠POL
Question
51
51.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠EFG
≠
(i)
∠GDE
(ii)
∠CDG
(iii)
∠FGE
(iv)
∠GFC
Question
52
52.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
EF
=
(i)
EB
(ii)
BF
(iii)
DF
(iv)
CF
Question
53
53.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
QT
=
(i)
PT
(ii)
RT
(iii)
ST
(iv)
SP
Question
54
54.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
DH
=
(i)
EH
(ii)
FH
(iii)
GH
(iv)
GD
Question
55
55.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DF
=
(i)
CF
(ii)
EF
(iii)
EB
(iv)
BF
Question
56
56.
In trapezium
CDEF
,
CE
and
DF
are diagonals.
Then
CD
∥
(i)
CE
(ii)
FC
(iii)
DE
(iv)
DF
(v)
EF
Question
57
57.
In trapezium
GHIJ
,
GI
and
HJ
are diagonals.
Then
IJ
∥
(i)
HI
(ii)
JG
(iii)
GH
(iv)
HJ
(v)
GI
Question
58
58.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
BC
=
(i)
CD
(ii)
BD
(iii)
CE
(iv)
EB
(v)
DE
Question
59
59.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
SP
=
(i)
PQ
(ii)
QS
(iii)
RS
(iv)
QR
(v)
PR
Question
60
60.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
DE
=
(i)
CE
(ii)
DF
(iii)
FC
(iv)
CD
(v)
EF
Question
61
61.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
NO
=
(i)
LM
(ii)
MN
(iii)
LN
(iv)
MO
(v)
OL
Question
62
62.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CDE
=
(i)
∠EFC
(ii)
∠CGD
(iii)
∠EFD
(iv)
∠CGF
(v)
∠CFD
Question
63
63.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠QRO
=
(i)
∠OSR
(ii)
∠OPQ
(iii)
∠ORP
(iv)
∠QRP
(v)
∠OSP
Question
64
64.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠AED
=
(i)
∠ADB
(ii)
∠CDB
(iii)
∠CDA
(iv)
∠ABC
(v)
∠AEB
Question
65
65.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠IMJ
=
(i)
∠IJK
(ii)
∠KLJ
(iii)
∠IML
(iv)
∠KLI
(v)
∠ILJ
Question
66
66.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△CDA
≅
(i)
△EDA
(ii)
△DBC
(iii)
△ECB
(iv)
△DBA
(v)
△CBA
Question
67
67.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△LKJ
≅
(i)
△LMJ
(ii)
△MKJ
(iii)
△NLK
(iv)
△MKL
(v)
△NMJ
Question
68
68.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FEB
≅
(i)
△FDC
(ii)
△FCB
(iii)
△ECB
(iv)
△ECD
(v)
△FDE
Question
69
69.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OLK
≅
(i)
△OML
(ii)
△NLM
(iii)
△OMN
(iv)
△NLK
(v)
△ONK
Question
70
70.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SQR
≅
(i)
△SQP
(ii)
△RPO
(iii)
△RPQ
(iv)
△SPO
(v)
△SRO
Question
71
71.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TRQ
≅
(i)
△TQP
(ii)
△TRS
(iii)
△TSP
(iv)
△SQP
(v)
△SQR
Question
72
72.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠NKO
=
(i)
∠OMN
(ii)
∠LKO
(iii)
∠OML
(iv)
∠KON
(v)
∠NOM
Question
73
73.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠ONR
=
(i)
∠NRQ
(ii)
∠QNR
(iii)
∠RPO
(iv)
∠RPQ
(v)
∠QRP
Question
74
74.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠TRS
=
(i)
∠QPT
(ii)
∠PTS
(iii)
∠STR
(iv)
∠TRQ
(v)
∠SPT
Question
75
75.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠LJI
=
(i)
∠KHL
(ii)
∠HLK
(iii)
∠LJK
(iv)
∠KLJ
(v)
∠IHL
Question
76
76.
Which of the following figures is a regular quadrilateral?
(i)
rhombus
(ii)
rectangle
(iii)
parallelogram
(iv)
square
(v)
trapezium
Question
77
77.
In the given figure, ABCD is a parallelogram.
If
AT
and
BT
are bisector of
∠A
&
∠B
, find
∠T
(i)
90°
(ii)
89°
(iii)
88°
(iv)
91°
(v)
92°
Question
78
78.
BCDE is a rhombus. O, P, Q and R are mid-points of sides BC, CD, DE and EB. Find ∠PQR
(i)
89°
(ii)
91°
(iii)
90°
(iv)
92°
(v)
88°
Assignment Key
1) (iv)
2) (i)
3) (iv)
4) (iv)
5) (iii)
6) (iii)
7) (v)
8) (ii)
9) (i)
10) (iv)
11) (i)
12) (i)
13) (v)
14) (i)
15) (iv)
16) (ii)
17) (iii)
18) (i)
19) (i)
20) (ii)
21) (iv)
22) (ii)
23) (i)
24) (i)
25) (iv)
26) (iii)
27) (iv)
28) (iv)
29) (iv)
30) (iii)
31) (iii)
32) (iv)
33) (iv)
34) (ii)
35) (iv)
36) (ii)
37) (iv)
38) (iii)
39) (iii)
40) (i)
41) (iv)
42) (iii)
43) (iii)
44) (ii)
45) (i)
46) (iv)
47) (iii)
48) (iii)
49) (i)
50) (iii)
51) (iii)
52) (iv)
53) (iii)
54) (ii)
55) (iv)
56) (v)
57) (iii)
58) (iv)
59) (i)
60) (v)
61) (ii)
62) (i)
63) (ii)
64) (v)
65) (iii)
66) (v)
67) (i)
68) (ii)
69) (v)
70) (i)
71) (ii)
72) (ii)
73) (ii)
74) (iv)
75) (iii)
76) (iv)
77) (i)
78) (iii)