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)
KL
∥
MN
b)
LO
=
OM
c)
NK
∥
LM
d)
△OKL
≅
△OMN
e)
LO
=
OK
(i)
{b,a,c}
(ii)
{b,e,d}
(iii)
{e,c}
(iv)
{b,a}
(v)
{a,c,d}
Question
2
2.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
GH
∥
(i)
IJ
(ii)
HJ
(iii)
GI
(iv)
HI
(v)
JG
Question
3
3.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
LM
∥
(i)
KL
(ii)
JL
(iii)
KM
(iv)
MJ
(v)
JK
Question
4
4.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
NK
∥
(i)
MN
(ii)
LN
(iii)
KM
(iv)
LM
(v)
KL
Question
5
5.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
MN
∥
(i)
MO
(ii)
NO
(iii)
LN
(iv)
LM
(v)
OL
Question
6
6.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
LM
=
(i)
MN
(ii)
NO
(iii)
MO
(iv)
OL
(v)
LN
Question
7
7.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
IJ
=
(i)
GI
(ii)
HI
(iii)
GH
(iv)
JG
(v)
HJ
Question
8
8.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
KH
=
(i)
JK
(ii)
HJ
(iii)
IK
(iv)
IJ
(v)
HI
Question
9
9.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QR
=
(i)
QS
(ii)
RS
(iii)
PQ
(iv)
SP
(v)
PR
Question
10
10.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△MJK
≅
(i)
△LMJ
(ii)
△KLM
(iii)
△JKN
(iv)
△JKL
(v)
△LMN
Question
11
11.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△NOP
≅
(i)
△PMN
(ii)
△OPM
(iii)
△MNO
(iv)
△OPQ
(v)
△MNQ
Question
12
12.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△IJG
≅
(i)
△GHI
(ii)
△HIJ
(iii)
△IJK
(iv)
△JGH
(v)
△GHK
Question
13
13.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
△ABC
≅
(i)
△BCD
(ii)
△CDE
(iii)
△CDA
(iv)
△ABE
(v)
△DAB
Question
14
14.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠ROP
=
(i)
∠QRO
(ii)
∠QRS
(iii)
∠OPS
(iv)
∠PQR
(v)
∠OPQ
Question
15
15.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
∠OPQ
=
(i)
∠NOP
(ii)
∠NOR
(iii)
∠QNO
(iv)
∠PQN
(v)
∠PQR
Question
16
16.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠JKL
=
(i)
∠LMJ
(ii)
∠MJK
(iii)
∠JKN
(iv)
∠KLM
(v)
∠LMN
Question
17
17.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
∠FGD
=
(i)
∠DEH
(ii)
∠GDE
(iii)
∠FGH
(iv)
∠EFG
(v)
∠DEF
Question
18
18.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JL
=
(i)
KL
(ii)
HL
(iii)
IJ
(iv)
IL
(v)
KH
Question
19
19.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
FI
=
(i)
EI
(ii)
HI
(iii)
GI
(iv)
HE
(v)
FG
Question
20
20.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
DE
∥
(i)
GD
(ii)
FG
(iii)
EF
(iv)
EG
Question
21
21.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
IJ
∥
(i)
HI
(ii)
GH
(iii)
HJ
(iv)
JG
Question
22
22.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
GD
∥
(i)
DE
(ii)
FG
(iii)
EG
(iv)
EF
Question
23
23.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KL
∥
(i)
JK
(ii)
KM
(iii)
MJ
(iv)
LM
Question
24
24.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
HI
≠
(i)
IJ
(ii)
JK
(iii)
IK
(iv)
KH
Question
25
25.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
QR
≠
(i)
RO
(ii)
PR
(iii)
PQ
(iv)
OP
Question
26
26.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
FC
≠
(i)
EF
(ii)
DF
(iii)
CD
(iv)
DE
Question
27
27.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
NO
≠
(i)
MN
(ii)
NP
(iii)
OP
(iv)
PM
Question
28
28.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△PMN
≅
(i)
△MNO
(ii)
△OPM
(iii)
△QMN
(iv)
△NOP
Question
29
29.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△LMN
≅
(i)
△MNK
(ii)
△KLM
(iii)
△OKL
(iv)
△NKL
Question
30
30.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△FGD
≅
(i)
△EFG
(ii)
△GDE
(iii)
△DEF
(iv)
△HDE
Question
31
31.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△KLM
≅
(i)
△OKL
(ii)
△LMN
(iii)
△MNK
(iv)
△NKL
Question
32
32.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△FBC
≇
(i)
△FBE
(ii)
△FDE
(iii)
△EBC
(iv)
△FDC
Question
33
33.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△KIH
≇
(i)
△KGJ
(ii)
△JGH
(iii)
△KIJ
(iv)
△KGH
Question
34
34.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQR
≇
(i)
△SOR
(ii)
△SQP
(iii)
△SOP
(iv)
△ROP
Question
35
35.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△RNQ
≇
(i)
△RPQ
(ii)
△RNO
(iii)
△RPO
(iv)
△QNO
Question
36
36.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠LIJ
=
(i)
∠JKL
(ii)
∠IJK
(iii)
∠IJM
(iv)
∠KLI
Question
37
37.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠OPQ
=
(i)
∠PQN
(ii)
∠NOR
(iii)
∠NOP
(iv)
∠QNO
Question
38
38.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠MNO
=
(i)
∠PMN
(ii)
∠OPM
(iii)
∠NOP
(iv)
∠MNQ
Question
39
39.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠MNK
=
(i)
∠NKL
(ii)
∠KLO
(iii)
∠KLM
(iv)
∠LMN
Question
40
40.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠NQM
≠
(i)
∠OQN
(ii)
∠MQP
(iii)
∠PQO
(iv)
∠PMN
Question
41
41.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MNL
≠
(i)
∠MJK
(ii)
∠JNM
(iii)
∠LNK
(iv)
∠KNJ
Question
42
42.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠GKJ
≠
(i)
∠JGH
(ii)
∠JKI
(iii)
∠HKG
(iv)
∠IKH
Question
43
43.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠EGD
≠
(i)
∠FGE
(ii)
∠DGC
(iii)
∠FCD
(iv)
∠CGF
Question
44
44.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PLM
≠
(i)
∠PNO
(ii)
∠LPO
(iii)
∠MNP
(iv)
∠OLP
Question
45
45.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠GEF
≠
(i)
∠DEG
(ii)
∠FCG
(iii)
∠GCD
(iv)
∠CGF
Question
46
46.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠KHL
≠
(i)
∠IJL
(ii)
∠HLK
(iii)
∠LHI
(iv)
∠LJK
Question
47
47.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠NOQ
≠
(i)
∠QMN
(ii)
∠MQP
(iii)
∠PMQ
(iv)
∠QOP
Question
48
48.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠KJG
≠
(i)
∠KHI
(ii)
∠GHK
(iii)
∠IJK
(iv)
∠JKI
Question
49
49.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QNO
≠
(i)
∠QPM
(ii)
∠OPQ
(iii)
∠MNQ
(iv)
∠PQO
Question
50
50.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠ABE
≠
(i)
∠DEC
(ii)
∠CDE
(iii)
∠EBC
(iv)
∠EDA
Question
51
51.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠OPQ
≠
(i)
∠PQO
(ii)
∠MNQ
(iii)
∠QPM
(iv)
∠QNO
Question
52
52.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OP
=
(i)
LP
(ii)
NP
(iii)
OL
(iv)
MP
Question
53
53.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
JM
=
(i)
LI
(ii)
IM
(iii)
KM
(iv)
LM
Question
54
54.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
AE
=
(i)
DA
(ii)
BE
(iii)
CE
(iv)
DE
Question
55
55.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
HJ
=
(i)
FJ
(ii)
GJ
(iii)
IJ
(iv)
IF
Question
56
56.
In trapezium
FGHI
,
FH
and
GI
are diagonals.
Then
FG
∥
(i)
GH
(ii)
HI
(iii)
FH
(iv)
IF
(v)
GI
Question
57
57.
In trapezium
JKLM
,
JL
and
KM
are diagonals.
Then
LM
∥
(i)
KL
(ii)
MJ
(iii)
KM
(iv)
JL
(v)
JK
Question
58
58.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
OP
=
(i)
QR
(ii)
PQ
(iii)
OQ
(iv)
RO
(v)
PR
Question
59
59.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
SP
=
(i)
QS
(ii)
QR
(iii)
RS
(iv)
PQ
(v)
PR
Question
60
60.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
BC
=
(i)
BD
(ii)
AB
(iii)
CD
(iv)
AC
(v)
DA
Question
61
61.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
OP
=
(i)
PM
(ii)
NO
(iii)
MN
(iv)
NP
(v)
MO
Question
62
62.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠LMN
=
(i)
∠NOM
(ii)
∠NOL
(iii)
∠LOM
(iv)
∠LPM
(v)
∠LPO
Question
63
63.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠RSP
=
(i)
∠PQR
(ii)
∠PTQ
(iii)
∠PTS
(iv)
∠PSQ
(v)
∠RSQ
Question
64
64.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠NRQ
=
(i)
∠NRO
(ii)
∠NOP
(iii)
∠NQO
(iv)
∠PQO
(v)
∠PQN
Question
65
65.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠GKH
=
(i)
∠IJG
(ii)
∠IJH
(iii)
∠GJH
(iv)
∠GHI
(v)
∠GKJ
Question
66
66.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△OPM
≅
(i)
△PNM
(ii)
△PNO
(iii)
△QPM
(iv)
△QON
(v)
△ONM
Question
67
67.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△DCB
≅
(i)
△DEB
(ii)
△ECB
(iii)
△FDC
(iv)
△ECD
(v)
△FEB
Question
68
68.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△LKH
≅
(i)
△KIH
(ii)
△LJI
(iii)
△KIJ
(iv)
△LIH
(v)
△LJK
Question
69
69.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GDC
≅
(i)
△GED
(ii)
△GEF
(iii)
△GFC
(iv)
△FDE
(v)
△FDC
Question
70
70.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△PNO
≅
(i)
△PNM
(ii)
△OML
(iii)
△OMN
(iv)
△POL
(v)
△PML
Question
71
71.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GED
≅
(i)
△GDC
(ii)
△GFC
(iii)
△FDC
(iv)
△GEF
(v)
△FDE
Question
72
72.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠SPT
=
(i)
∠QPT
(ii)
∠STR
(iii)
∠TRS
(iv)
∠PTS
(v)
∠TRQ
Question
73
73.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠HGK
=
(i)
∠KIJ
(ii)
∠KIH
(iii)
∠JGK
(iv)
∠JKI
(v)
∠GKJ
Question
74
74.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠RPQ
=
(i)
∠QNR
(ii)
∠QRP
(iii)
∠NRQ
(iv)
∠RPO
(v)
∠ONR
Question
75
75.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠KIH
=
(i)
∠GKJ
(ii)
∠JGK
(iii)
∠JKI
(iv)
∠KIJ
(v)
∠HGK
Question
76
76.
Which of the following figures is a regular quadrilateral?
(i)
rectangle
(ii)
square
(iii)
parallelogram
(iv)
trapezium
(v)
rhombus
Question
77
77.
In the given figure, BCDE is a parallelogram.
If
BR
and
CR
are bisector of
∠B
&
∠C
, find
∠R
(i)
92°
(ii)
89°
(iii)
90°
(iv)
88°
(v)
91°
Question
78
78.
ABCD is a rhombus. P, Q, R and S are mid-points of sides AB, BC, CD and DA. Find ∠QRS
(i)
91°
(ii)
89°
(iii)
88°
(iv)
92°
(v)
90°
Assignment Key
1) (v)
2) (i)
3) (v)
4) (iv)
5) (v)
6) (ii)
7) (iii)
8) (iv)
9) (iv)
10) (ii)
11) (i)
12) (i)
13) (iii)
14) (iv)
15) (iii)
16) (i)
17) (v)
18) (ii)
19) (ii)
20) (ii)
21) (ii)
22) (iv)
23) (iii)
24) (iii)
25) (ii)
26) (ii)
27) (ii)
28) (iv)
29) (iv)
30) (iii)
31) (iii)
32) (iii)
33) (ii)
34) (iv)
35) (iv)
36) (i)
37) (iv)
38) (ii)
39) (iii)
40) (iv)
41) (i)
42) (i)
43) (iii)
44) (ii)
45) (iv)
46) (ii)
47) (ii)
48) (iv)
49) (iv)
50) (i)
51) (i)
52) (iv)
53) (iv)
54) (iii)
55) (i)
56) (ii)
57) (v)
58) (iv)
59) (iv)
60) (iii)
61) (ii)
62) (ii)
63) (i)
64) (i)
65) (v)
66) (v)
67) (i)
68) (iv)
69) (iii)
70) (i)
71) (iv)
72) (i)
73) (iii)
74) (iv)
75) (iv)
76) (ii)
77) (iii)
78) (v)