EduSahara™ Assignment
Name : Quadrilateral Properties Using Diagrams
Chapter : Quadrilaterals
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following figures is a regular quadrilateral?
(i)
rectangle
(ii)
rhombus
(iii)
trapezium
(iv)
parallelogram
(v)
square
Question
2
2.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
IJ
∥
(i)
JL
(ii)
KL
(iii)
LI
(iv)
IK
(v)
JK
Question
3
3.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HI
∥
(i)
IF
(ii)
FG
(iii)
GI
(iv)
FH
(v)
GH
Question
4
4.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
KH
∥
(i)
IK
(ii)
IJ
(iii)
HI
(iv)
HJ
(v)
JK
Question
5
5.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
MN
∥
(i)
OL
(ii)
MO
(iii)
LN
(iv)
LM
(v)
NO
Question
6
6.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
FG
=
(i)
GH
(ii)
IF
(iii)
HI
(iv)
GI
(v)
FH
Question
7
7.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
FG
=
(i)
EG
(ii)
DE
(iii)
EF
(iv)
DF
(v)
GD
Question
8
8.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
=
(i)
LM
(ii)
MN
(iii)
MO
(iv)
NO
(v)
LN
Question
9
9.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
JK
=
(i)
KL
(ii)
IJ
(iii)
LI
(iv)
JL
(v)
IK
Question
10
10.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
△FCD
≅
(i)
△DEF
(ii)
△CDE
(iii)
△EFC
(iv)
△CDG
(v)
△EFG
Question
11
11.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
△LMN
≅
(i)
△MNK
(ii)
△MNO
(iii)
△KLO
(iv)
△KLM
(v)
△NKL
Question
12
12.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△DEB
≅
(i)
△EBC
(ii)
△BCD
(iii)
△BCF
(iv)
△DEF
(v)
△CDE
Question
13
13.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△NOP
≅
(i)
△OPQ
(ii)
△PQR
(iii)
△PQN
(iv)
△QNO
(v)
△NOR
Question
14
14.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
∠GDE
=
(i)
∠DEH
(ii)
∠EFG
(iii)
∠FGH
(iv)
∠FGD
(v)
∠DEF
Question
15
15.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠PQR
=
(i)
∠OPQ
(ii)
∠ROP
(iii)
∠QRS
(iv)
∠QRO
(v)
∠OPS
Question
16
16.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠IJK
=
(i)
∠LIJ
(ii)
∠IJM
(iii)
∠KLM
(iv)
∠JKL
(v)
∠KLI
Question
17
17.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
∠DEB
=
(i)
∠DEF
(ii)
∠BCF
(iii)
∠EBC
(iv)
∠CDE
(v)
∠BCD
Question
18
18.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QS
=
(i)
RS
(ii)
OS
(iii)
PS
(iv)
RO
(v)
PQ
Question
19
19.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
HL
=
(i)
IL
(ii)
IJ
(iii)
JL
(iv)
KH
(v)
KL
Question
20
20.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DG
=
(i)
FC
(ii)
CG
(iii)
EG
(iv)
FG
(v)
DE
Question
21
21.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
KL
∥
(i)
NK
(ii)
LM
(iii)
MN
(iv)
LN
Question
22
22.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
IJ
∥
(i)
HJ
(ii)
JG
(iii)
GH
(iv)
HI
Question
23
23.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
QN
∥
(i)
OP
(ii)
NO
(iii)
PQ
(iv)
OQ
Question
24
24.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
IJ
∥
(i)
HI
(ii)
IK
(iii)
JK
(iv)
KH
Question
25
25.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
NO
≠
(i)
QN
(ii)
OQ
(iii)
PQ
(iv)
OP
Question
26
26.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
LM
≠
(i)
KM
(ii)
MJ
(iii)
JK
(iv)
KL
Question
27
27.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
KH
≠
(i)
HI
(ii)
JK
(iii)
IK
(iv)
IJ
Question
28
28.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
CD
≠
(i)
EB
(ii)
CE
(iii)
BC
(iv)
DE
Question
29
29.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△OLM
≅
(i)
△PLM
(ii)
△NOL
(iii)
△LMN
(iv)
△MNO
Question
30
30.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△GHI
≅
(i)
△JFG
(ii)
△HIF
(iii)
△FGH
(iv)
△IFG
Question
31
31.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△IJG
≅
(i)
△GHI
(ii)
△HIJ
(iii)
△KGH
(iv)
△JGH
Question
32
32.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△IJK
≅
(i)
△KLI
(ii)
△MIJ
(iii)
△LIJ
(iv)
△JKL
Question
33
33.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△HDE
≇
(i)
△HDG
(ii)
△HFG
(iii)
△HFE
(iv)
△GDE
Question
34
34.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JHG
≇
(i)
△JFI
(ii)
△IFG
(iii)
△JFG
(iv)
△JHI
Question
35
35.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JHI
≇
(i)
△JFG
(ii)
△IFG
(iii)
△JFI
(iv)
△JHG
Question
36
36.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QMP
≇
(i)
△QMN
(ii)
△QOP
(iii)
△QON
(iv)
△PMN
Question
37
37.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠NKL
=
(i)
∠LMN
(ii)
∠KLM
(iii)
∠KLO
(iv)
∠MNK
Question
38
38.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠CDE
=
(i)
∠BCF
(ii)
∠EBC
(iii)
∠DEB
(iv)
∠BCD
Question
39
39.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠GHE
=
(i)
∠EFG
(ii)
∠FGH
(iii)
∠HEF
(iv)
∠EFI
Question
40
40.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠EHD
≠
(i)
∠GHF
(ii)
∠GDE
(iii)
∠FHE
(iv)
∠DHG
Question
41
41.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠RSQ
≠
(i)
∠ROP
(ii)
∠OSR
(iii)
∠QSP
(iv)
∠PSO
Question
42
42.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠BFE
≠
(i)
∠EFD
(ii)
∠DFC
(iii)
∠EBC
(iv)
∠CFB
Question
43
43.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IKH
≠
(i)
∠HKG
(ii)
∠GKJ
(iii)
∠JKI
(iv)
∠JGH
Question
44
44.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SOP
≠
(i)
∠OSR
(ii)
∠ROS
(iii)
∠SQR
(iv)
∠PQS
Question
45
45.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠HFG
≠
(i)
∠HDE
(ii)
∠GDH
(iii)
∠EFH
(iv)
∠DHG
Question
46
46.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠PMQ
≠
(i)
∠QMN
(ii)
∠QOP
(iii)
∠MQP
(iv)
∠NOQ
Question
47
47.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠NOQ
≠
(i)
∠MQP
(ii)
∠PMQ
(iii)
∠QOP
(iv)
∠QMN
Question
48
48.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QPM
≠
(i)
∠OPQ
(ii)
∠MNQ
(iii)
∠QNO
(iv)
∠PQO
Question
49
49.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠OLM
≠
(i)
∠NOM
(ii)
∠ONK
(iii)
∠MNO
(iv)
∠KLO
Question
50
50.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠NOR
≠
(i)
∠RQN
(ii)
∠QRP
(iii)
∠ROP
(iv)
∠PQR
Question
51
51.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠OPQ
≠
(i)
∠PQO
(ii)
∠MNQ
(iii)
∠QNO
(iv)
∠QPM
Question
52
52.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
QR
=
(i)
NR
(ii)
PR
(iii)
OR
(iv)
QN
Question
53
53.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
LO
=
(i)
NK
(ii)
NO
(iii)
MO
(iv)
KO
Question
54
54.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FJ
=
(i)
IJ
(ii)
GJ
(iii)
HJ
(iv)
IF
Question
55
55.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
OQ
=
(i)
PM
(ii)
PQ
(iii)
NQ
(iv)
MQ
Question
56
56.
In trapezium
OPQR
,
OQ
and
PR
are diagonals.
Then
OP
∥
(i)
PQ
(ii)
PR
(iii)
QR
(iv)
RO
(v)
OQ
Question
57
57.
In trapezium
ABCD
,
AC
and
BD
are diagonals.
Then
CD
∥
(i)
DA
(ii)
BD
(iii)
AC
(iv)
BC
(v)
AB
Question
58
58.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
AB
=
(i)
BD
(ii)
DA
(iii)
BC
(iv)
AC
(v)
CD
Question
59
59.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
GD
=
(i)
FG
(ii)
DF
(iii)
EF
(iv)
DE
(v)
EG
Question
60
60.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
LM
=
(i)
KL
(ii)
KM
(iii)
MN
(iv)
NK
(v)
LN
Question
61
61.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
RS
=
(i)
QS
(ii)
SP
(iii)
QR
(iv)
PQ
(v)
PR
Question
62
62.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠BCD
=
(i)
∠BEC
(ii)
∠BFC
(iii)
∠BFE
(iv)
∠DEB
(v)
∠DEC
Question
63
63.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠MNK
=
(i)
∠KLM
(ii)
∠KOL
(iii)
∠KON
(iv)
∠KNL
(v)
∠MNL
Question
64
64.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠AED
=
(i)
∠ADB
(ii)
∠ABC
(iii)
∠CDB
(iv)
∠CDA
(v)
∠AEB
Question
65
65.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠PTQ
=
(i)
∠RSQ
(ii)
∠PTS
(iii)
∠PQR
(iv)
∠RSP
(v)
∠PSQ
Question
66
66.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△PQN
≅
(i)
△QOP
(ii)
△RPO
(iii)
△PON
(iv)
△RQN
(v)
△QON
Question
67
67.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△EDC
≅
(i)
△FDE
(ii)
△FDC
(iii)
△GFC
(iv)
△GED
(v)
△EFC
Question
68
68.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△IHE
≅
(i)
△IGF
(ii)
△IGH
(iii)
△IFE
(iv)
△HFE
(v)
△HFG
Question
69
69.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RON
≅
(i)
△RPQ
(ii)
△RQN
(iii)
△RPO
(iv)
△QOP
(v)
△QON
Question
70
70.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RPQ
≅
(i)
△QON
(ii)
△RON
(iii)
△RPO
(iv)
△RQN
(v)
△QOP
Question
71
71.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JHG
≅
(i)
△JIF
(ii)
△IGH
(iii)
△IGF
(iv)
△JGF
(v)
△JHI
Question
72
72.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠HEI
=
(i)
∠FEI
(ii)
∠EIH
(iii)
∠IGF
(iv)
∠IGH
(v)
∠HIG
Question
73
73.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠NMQ
=
(i)
∠PQO
(ii)
∠QOP
(iii)
∠MQP
(iv)
∠PMQ
(v)
∠QON
Question
74
74.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠FDE
=
(i)
∠EBF
(ii)
∠BFE
(iii)
∠FDC
(iv)
∠CBF
(v)
∠EFD
Question
75
75.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠MKJ
=
(i)
∠MKL
(ii)
∠JIM
(iii)
∠LIM
(iv)
∠IML
(v)
∠LMK
Question
76
76.
In the given parallelogram, which of the following statements are true?
a)
△BDA
≅
△CDA
b)
BE
=
EC
c)
△EDA
≅
△EBC
d)
AB
∥
CD
e)
E
is the mid point of
AC
(i)
{a,c,d}
(ii)
{a,c}
(iii)
{c,d,e}
(iv)
{b,d}
(v)
{a,b,e}
Question
77
77.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
QR
=
(i)
NR
(ii)
OR
(iii)
PR
(iv)
OP
(v)
QN
Question
78
78.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠NOP
=
(i)
∠NOR
(ii)
∠QNO
(iii)
∠OPQ
(iv)
∠PQN
Assignment Key
1) (v)
2) (ii)
3) (ii)
4) (ii)
5) (i)
6) (iii)
7) (ii)
8) (ii)
9) (iii)
10) (i)
11) (v)
12) (ii)
13) (iii)
14) (ii)
15) (ii)
16) (v)
17) (v)
18) (ii)
19) (iii)
20) (iv)
21) (iii)
22) (iii)
23) (i)
24) (iv)
25) (ii)
26) (i)
27) (iii)
28) (ii)
29) (iv)
30) (iv)
31) (i)
32) (i)
33) (iv)
34) (ii)
35) (ii)
36) (iv)
37) (i)
38) (ii)
39) (i)
40) (ii)
41) (i)
42) (iii)
43) (iv)
44) (i)
45) (iv)
46) (iii)
47) (i)
48) (iv)
49) (i)
50) (ii)
51) (i)
52) (iii)
53) (ii)
54) (iii)
55) (iv)
56) (iii)
57) (v)
58) (ii)
59) (iv)
60) (iii)
61) (iii)
62) (iv)
63) (i)
64) (v)
65) (ii)
66) (iii)
67) (v)
68) (iii)
69) (ii)
70) (iii)
71) (v)
72) (i)
73) (iv)
74) (iii)
75) (i)
76) (iii)
77) (ii)
78) (iv)