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)
△QMN
≅
△QOP
b)
∠NQM
=
∠PQO
c)
△NPM
≅
△OPM
d)
Q
is the mid point of
MO
e)
NQ
=
QM
(i)
{c,a,b}
(ii)
{a,b,d}
(iii)
{e,b}
(iv)
{c,a}
(v)
{c,e,d}
Question
2
2.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
DE
∥
(i)
GD
(ii)
EG
(iii)
FG
(iv)
EF
(v)
DF
Question
3
3.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
LM
∥
(i)
KL
(ii)
KM
(iii)
JK
(iv)
JL
(v)
MJ
Question
4
4.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
JG
∥
(i)
HJ
(ii)
IJ
(iii)
GH
(iv)
GI
(v)
HI
Question
5
5.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
CD
∥
(i)
CE
(ii)
BC
(iii)
DE
(iv)
BD
(v)
EB
Question
6
6.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
NO
=
(i)
PQ
(ii)
OQ
(iii)
QN
(iv)
OP
(v)
NP
Question
7
7.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
FG
=
(i)
EF
(ii)
DE
(iii)
GD
(iv)
DF
(v)
EG
Question
8
8.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
RO
=
(i)
OQ
(ii)
QR
(iii)
PR
(iv)
PQ
(v)
OP
Question
9
9.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
JK
=
(i)
JL
(ii)
LI
(iii)
KL
(iv)
IK
(v)
IJ
Question
10
10.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△HEF
≅
(i)
△FGH
(ii)
△EFI
(iii)
△EFG
(iv)
△GHI
(v)
△GHE
Question
11
11.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△PQR
≅
(i)
△QRS
(ii)
△OPQ
(iii)
△QRO
(iv)
△OPS
(v)
△ROP
Question
12
12.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△OPM
≅
(i)
△MNQ
(ii)
△MNO
(iii)
△NOP
(iv)
△PMN
(v)
△OPQ
Question
13
13.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△MNO
≅
(i)
△NOP
(ii)
△OPM
(iii)
△OPQ
(iv)
△PMN
(v)
△MNQ
Question
14
14.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠IFG
=
(i)
∠HIJ
(ii)
∠FGJ
(iii)
∠GHI
(iv)
∠FGH
(v)
∠HIF
Question
15
15.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠KLM
=
(i)
∠JKN
(ii)
∠LMJ
(iii)
∠JKL
(iv)
∠MJK
(v)
∠LMN
Question
16
16.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠LMN
=
(i)
∠OLM
(ii)
∠LMP
(iii)
∠NOL
(iv)
∠MNO
(v)
∠NOP
Question
17
17.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠LMJ
=
(i)
∠KLM
(ii)
∠JKN
(iii)
∠JKL
(iv)
∠MJK
(v)
∠LMN
Question
18
18.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
CE
=
(i)
BE
(ii)
BC
(iii)
DA
(iv)
DE
(v)
AE
Question
19
19.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QT
=
(i)
RT
(ii)
QR
(iii)
PT
(iv)
ST
(v)
SP
Question
20
20.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
EF
∥
(i)
FG
(ii)
HE
(iii)
GH
(iv)
FH
Question
21
21.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
CD
∥
(i)
AB
(ii)
DA
(iii)
BC
(iv)
BD
Question
22
22.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
NK
∥
(i)
KL
(ii)
LN
(iii)
LM
(iv)
MN
Question
23
23.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
LM
∥
(i)
NK
(ii)
KL
(iii)
MN
(iv)
LN
Question
24
24.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
BC
≠
(i)
CE
(ii)
DE
(iii)
CD
(iv)
EB
Question
25
25.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
CD
≠
(i)
AB
(ii)
DA
(iii)
BD
(iv)
BC
Question
26
26.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
HE
≠
(i)
GH
(ii)
EF
(iii)
FG
(iv)
FH
Question
27
27.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
EF
≠
(i)
FG
(ii)
DE
(iii)
GD
(iv)
EG
Question
28
28.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△QNO
≅
(i)
△OPQ
(ii)
△PQN
(iii)
△NOP
(iv)
△RNO
Question
29
29.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△PQR
≅
(i)
△SOP
(ii)
△OPQ
(iii)
△ROP
(iv)
△QRO
Question
30
30.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△NOL
≅
(i)
△MNO
(ii)
△LMN
(iii)
△PLM
(iv)
△OLM
Question
31
31.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△CDE
≅
(i)
△GCD
(ii)
△DEF
(iii)
△FCD
(iv)
△EFC
Question
32
32.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JFG
≇
(i)
△JHI
(ii)
△JFI
(iii)
△IFG
(iv)
△JHG
Question
33
33.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△HFE
≇
(i)
△HFG
(ii)
△HDE
(iii)
△HDG
(iv)
△GDE
Question
34
34.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△FDE
≇
(i)
△FBE
(ii)
△FDC
(iii)
△EBC
(iv)
△FBC
Question
35
35.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OKN
≇
(i)
△OMN
(ii)
△OML
(iii)
△OKL
(iv)
△NKL
Question
36
36.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠ROP
=
(i)
∠QRO
(ii)
∠OPS
(iii)
∠PQR
(iv)
∠OPQ
Question
37
37.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠JKL
=
(i)
∠LIJ
(ii)
∠IJM
(iii)
∠IJK
(iv)
∠KLI
Question
38
38.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EFG
=
(i)
∠EFI
(ii)
∠FGH
(iii)
∠GHE
(iv)
∠HEF
Question
39
39.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠JKH
=
(i)
∠KHI
(ii)
∠HIJ
(iii)
∠HIL
(iv)
∠IJK
Question
40
40.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠BEA
≠
(i)
∠DEC
(ii)
∠DAB
(iii)
∠AED
(iv)
∠CEB
Question
41
41.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠OPN
≠
(i)
∠OLM
(ii)
∠NPM
(iii)
∠LPO
(iv)
∠MPL
Question
42
42.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EIH
≠
(i)
∠HIG
(ii)
∠HEF
(iii)
∠GIF
(iv)
∠FIE
Question
43
43.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IKH
≠
(i)
∠HKG
(ii)
∠JGH
(iii)
∠JKI
(iv)
∠GKJ
Question
44
44.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EAB
≠
(i)
∠BCE
(ii)
∠ECD
(iii)
∠DAE
(iv)
∠AED
Question
45
45.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SQR
≠
(i)
∠SOP
(ii)
∠OSR
(iii)
∠PQS
(iv)
∠ROS
Question
46
46.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MJN
≠
(i)
∠NLM
(ii)
∠NJK
(iii)
∠JNM
(iv)
∠KLN
Question
47
47.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠MNP
≠
(i)
∠PNO
(ii)
∠LPO
(iii)
∠PLM
(iv)
∠OLP
Question
48
48.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠JIF
≠
(i)
∠IJH
(ii)
∠HIJ
(iii)
∠FGJ
(iv)
∠JGH
Question
49
49.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠FCD
≠
(i)
∠FEB
(ii)
∠DEF
(iii)
∠EFD
(iv)
∠BCF
Question
50
50.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠CDG
≠
(i)
∠GDE
(ii)
∠FGE
(iii)
∠EFG
(iv)
∠GFC
Question
51
51.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IJK
≠
(i)
∠JKI
(ii)
∠GHK
(iii)
∠KJG
(iv)
∠KHI
Question
52
52.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
ST
=
(i)
RT
(ii)
QT
(iii)
PT
(iv)
SP
Question
53
53.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
BE
=
(i)
DE
(ii)
AE
(iii)
CE
(iv)
DA
Question
54
54.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GK
=
(i)
JG
(ii)
IK
(iii)
JK
(iv)
HK
Question
55
55.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
EG
=
(i)
FG
(ii)
FC
(iii)
DG
(iv)
CG
Question
56
56.
In trapezium
PQRS
,
PR
and
QS
are diagonals.
Then
PQ
∥
(i)
RS
(ii)
PR
(iii)
QR
(iv)
QS
(v)
SP
Question
57
57.
In trapezium
EFGH
,
EG
and
FH
are diagonals.
Then
GH
∥
(i)
EF
(ii)
EG
(iii)
FH
(iv)
HE
(v)
FG
Question
58
58.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
FG
=
(i)
GH
(ii)
FH
(iii)
GI
(iv)
HI
(v)
IF
Question
59
59.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
RO
=
(i)
QR
(ii)
OP
(iii)
PQ
(iv)
OQ
(v)
PR
Question
60
60.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
NO
=
(i)
NP
(ii)
MN
(iii)
MO
(iv)
OP
(v)
PM
Question
61
61.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
JK
=
(i)
IJ
(ii)
KH
(iii)
HJ
(iv)
IK
(v)
HI
Question
62
62.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠LMN
=
(i)
∠NOM
(ii)
∠LOM
(iii)
∠LPM
(iv)
∠LPO
(v)
∠NOL
Question
63
63.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠PQN
=
(i)
∠NRQ
(ii)
∠NQO
(iii)
∠PQO
(iv)
∠NOP
(v)
∠NRO
Question
64
64.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠JNM
=
(i)
∠JNK
(ii)
∠LMJ
(iii)
∠JMK
(iv)
∠LMK
(v)
∠JKL
Question
65
65.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠KOL
=
(i)
∠MNK
(ii)
∠KNL
(iii)
∠MNL
(iv)
∠KLM
(v)
∠KON
Question
66
66.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△DEB
≅
(i)
△FEB
(ii)
△ECD
(iii)
△DCB
(iv)
△FDC
(v)
△ECB
Question
67
67.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△MLK
≅
(i)
△MNK
(ii)
△NLK
(iii)
△NLM
(iv)
△ONK
(v)
△OML
Question
68
68.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△NMJ
≅
(i)
△MKL
(ii)
△NLM
(iii)
△MKJ
(iv)
△NKJ
(v)
△NLK
Question
69
69.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KHG
≅
(i)
△KIH
(ii)
△KIJ
(iii)
△JHI
(iv)
△JHG
(v)
△KJG
Question
70
70.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JHI
≅
(i)
△IGH
(ii)
△JGF
(iii)
△IGF
(iv)
△JIF
(v)
△JHG
Question
71
71.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SQP
≅
(i)
△RPQ
(ii)
△SQR
(iii)
△RPO
(iv)
△SPO
(v)
△SRO
Question
72
72.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠DAE
=
(i)
∠DEC
(ii)
∠ECB
(iii)
∠AED
(iv)
∠BAE
(v)
∠ECD
Question
73
73.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠ONR
=
(i)
∠RPO
(ii)
∠NRQ
(iii)
∠QRP
(iv)
∠QNR
(v)
∠RPQ
Question
74
74.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠FDE
=
(i)
∠CBF
(ii)
∠EBF
(iii)
∠FDC
(iv)
∠EFD
(v)
∠BFE
Question
75
75.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠FDC
=
(i)
∠EBF
(ii)
∠EFD
(iii)
∠BFE
(iv)
∠CBF
(v)
∠FDE
Question
76
76.
Which of the following figures is a regular quadrilateral?
(i)
parallelogram
(ii)
rhombus
(iii)
square
(iv)
rectangle
(v)
trapezium
Question
77
77.
In the given figure, EFGH is a parallelogram.
If
EV
and
FV
are bisector of
∠E
&
∠F
, find
∠V
(i)
90°
(ii)
91°
(iii)
88°
(iv)
92°
(v)
89°
Question
78
78.
DEFG is a rhombus. M, N, O and P are mid-points of sides DE, EF, FG and GD. Find ∠NOP
(i)
92°
(ii)
91°
(iii)
88°
(iv)
90°
(v)
89°
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (v)
5) (v)
6) (i)
7) (ii)
8) (iv)
9) (ii)
10) (i)
11) (v)
12) (ii)
13) (ii)
14) (iii)
15) (iv)
16) (iii)
17) (iii)
18) (v)
19) (iv)
20) (iii)
21) (i)
22) (iii)
23) (i)
24) (i)
25) (iii)
26) (iv)
27) (iv)
28) (i)
29) (iii)
30) (ii)
31) (iv)
32) (iii)
33) (iv)
34) (iii)
35) (iv)
36) (iii)
37) (i)
38) (iii)
39) (ii)
40) (ii)
41) (i)
42) (ii)
43) (ii)
44) (iv)
45) (ii)
46) (iii)
47) (ii)
48) (i)
49) (iii)
50) (ii)
51) (i)
52) (ii)
53) (i)
54) (ii)
55) (iv)
56) (i)
57) (i)
58) (v)
59) (ii)
60) (iv)
61) (i)
62) (v)
63) (iv)
64) (i)
65) (v)
66) (iii)
67) (i)
68) (iv)
69) (v)
70) (v)
71) (ii)
72) (iv)
73) (iv)
74) (iii)
75) (v)
76) (iii)
77) (i)
78) (iv)