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)
trapezium
(ii)
square
(iii)
rhombus
(iv)
parallelogram
(v)
rectangle
Question
2
2.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
DE
∥
(i)
EG
(ii)
FG
(iii)
DF
(iv)
GD
(v)
EF
Question
3
3.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HI
∥
(i)
GI
(ii)
GH
(iii)
FH
(iv)
FG
(v)
IF
Question
4
4.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
GD
∥
(i)
EF
(ii)
EG
(iii)
DE
(iv)
FG
(v)
DF
Question
5
5.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
PQ
∥
(i)
QR
(ii)
OQ
(iii)
OP
(iv)
PR
(v)
RO
Question
6
6.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
BC
=
(i)
CD
(ii)
DE
(iii)
CE
(iv)
BD
(v)
EB
Question
7
7.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QR
=
(i)
RO
(ii)
OP
(iii)
OQ
(iv)
PQ
(v)
PR
Question
8
8.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
=
(i)
MN
(ii)
LM
(iii)
NO
(iv)
LN
(v)
MO
Question
9
9.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
=
(i)
JK
(ii)
KH
(iii)
IK
(iv)
HJ
(v)
HI
Question
10
10.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△ROP
≅
(i)
△PQR
(ii)
△QRS
(iii)
△QRO
(iv)
△OPQ
(v)
△OPS
Question
11
11.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△QRS
≅
(i)
△PQT
(ii)
△RSP
(iii)
△PQR
(iv)
△SPQ
(v)
△RST
Question
12
12.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△RSP
≅
(i)
△PQR
(ii)
△SPQ
(iii)
△RST
(iv)
△QRS
(v)
△PQT
Question
13
13.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
△CDE
≅
(i)
△DEF
(ii)
△EFG
(iii)
△EFC
(iv)
△CDG
(v)
△FCD
Question
14
14.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠PMN
=
(i)
∠NOP
(ii)
∠OPM
(iii)
∠MNO
(iv)
∠MNQ
(v)
∠OPQ
Question
15
15.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠GHI
=
(i)
∠IFG
(ii)
∠HIJ
(iii)
∠FGH
(iv)
∠HIF
(v)
∠FGJ
Question
16
16.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
∠NOP
=
(i)
∠QNO
(ii)
∠OPQ
(iii)
∠PQR
(iv)
∠PQN
(v)
∠NOR
Question
17
17.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠JKH
=
(i)
∠JKL
(ii)
∠IJK
(iii)
∠HIL
(iv)
∠HIJ
(v)
∠KHI
Question
18
18.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OQ
=
(i)
NO
(ii)
PM
(iii)
MQ
(iv)
NQ
(v)
PQ
Question
19
19.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
BF
=
(i)
CD
(ii)
CF
(iii)
EB
(iv)
DF
(v)
EF
Question
20
20.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
HK
=
(i)
HI
(ii)
GK
(iii)
JG
(iv)
IK
(v)
JK
Question
21
21.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
EF
∥
(i)
FG
(ii)
GH
(iii)
HE
(iv)
FH
Question
22
22.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
QR
∥
(i)
RO
(ii)
PR
(iii)
PQ
(iv)
OP
Question
23
23.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
FC
∥
(i)
DE
(ii)
EF
(iii)
DF
(iv)
CD
Question
24
24.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
QR
∥
(i)
RS
(ii)
QS
(iii)
SP
(iv)
PQ
Question
25
25.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
MN
≠
(i)
NO
(ii)
OP
(iii)
PM
(iv)
NP
Question
26
26.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
PQ
≠
(i)
QN
(ii)
OP
(iii)
OQ
(iv)
NO
Question
27
27.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
SP
≠
(i)
RS
(ii)
QS
(iii)
PQ
(iv)
QR
Question
28
28.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KL
≠
(i)
LM
(ii)
KM
(iii)
MJ
(iv)
JK
Question
29
29.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△EBC
≅
(i)
△DEB
(ii)
△BCD
(iii)
△CDE
(iv)
△FBC
Question
30
30.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△GHI
≅
(i)
△IFG
(ii)
△HIF
(iii)
△FGH
(iv)
△JFG
Question
31
31.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△CDA
≅
(i)
△DAB
(ii)
△ABC
(iii)
△BCD
(iv)
△EAB
Question
32
32.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△LMN
≅
(i)
△MNO
(ii)
△NOL
(iii)
△OLM
(iv)
△PLM
Question
33
33.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△RNO
≇
(i)
△RNQ
(ii)
△RPO
(iii)
△QNO
(iv)
△RPQ
Question
34
34.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRQ
≇
(i)
△TRS
(ii)
△TPQ
(iii)
△TPS
(iv)
△SPQ
Question
35
35.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△GEF
≇
(i)
△GED
(ii)
△GCF
(iii)
△GCD
(iv)
△FCD
Question
36
36.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△LHK
≇
(i)
△LJI
(ii)
△KHI
(iii)
△LJK
(iv)
△LHI
Question
37
37.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠KHI
=
(i)
∠HIJ
(ii)
∠JKH
(iii)
∠HIL
(iv)
∠IJK
Question
38
38.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠IJK
=
(i)
∠HIL
(ii)
∠JKH
(iii)
∠KHI
(iv)
∠HIJ
Question
39
39.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠OPM
=
(i)
∠PMN
(ii)
∠MNO
(iii)
∠MNQ
(iv)
∠NOP
Question
40
40.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠MPL
≠
(i)
∠OLM
(ii)
∠LPO
(iii)
∠NPM
(iv)
∠OPN
Question
41
41.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠DEC
≠
(i)
∠AED
(ii)
∠CEB
(iii)
∠DAB
(iv)
∠BEA
Question
42
42.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠NRQ
≠
(i)
∠QRP
(ii)
∠ORN
(iii)
∠QNO
(iv)
∠PRO
Question
43
43.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠LNK
≠
(i)
∠MJK
(ii)
∠KNJ
(iii)
∠MNL
(iv)
∠JNM
Question
44
44.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠OKL
≠
(i)
∠NKO
(ii)
∠KON
(iii)
∠LMO
(iv)
∠OMN
Question
45
45.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠FDE
≠
(i)
∠FBC
(ii)
∠EBF
(iii)
∠BFE
(iv)
∠CDF
Question
46
46.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QNR
≠
(i)
∠RNO
(ii)
∠NRQ
(iii)
∠OPR
(iv)
∠RPQ
Question
47
47.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DEG
≠
(i)
∠GEF
(ii)
∠FCG
(iii)
∠GCD
(iv)
∠CGF
Question
48
48.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠NMJ
≠
(i)
∠LMN
(ii)
∠MNL
(iii)
∠JKN
(iv)
∠NKL
Question
49
49.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EBC
≠
(i)
∠CDE
(ii)
∠EDA
(iii)
∠ABE
(iv)
∠DEC
Question
50
50.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠GHK
≠
(i)
∠KHI
(ii)
∠JKI
(iii)
∠KJG
(iv)
∠IJK
Question
51
51.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠MNO
≠
(i)
∠KLO
(ii)
∠ONK
(iii)
∠NOM
(iv)
∠OLM
Question
52
52.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
ST
=
(i)
PT
(ii)
QT
(iii)
RT
(iv)
SP
Question
53
53.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
EH
=
(i)
GD
(ii)
FH
(iii)
GH
(iv)
DH
Question
54
54.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GK
=
(i)
JG
(ii)
IK
(iii)
HK
(iv)
JK
Question
55
55.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
GI
=
(i)
FI
(ii)
HE
(iii)
HI
(iv)
EI
Question
56
56.
In trapezium
DEFG
,
DF
and
EG
are diagonals.
Then
DE
∥
(i)
DF
(ii)
EG
(iii)
FG
(iv)
GD
(v)
EF
Question
57
57.
In trapezium
FGHI
,
FH
and
GI
are diagonals.
Then
HI
∥
(i)
FH
(ii)
GI
(iii)
GH
(iv)
IF
(v)
FG
Question
58
58.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
BC
=
(i)
CE
(ii)
BD
(iii)
EB
(iv)
CD
(v)
DE
Question
59
59.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
DA
=
(i)
BC
(ii)
CD
(iii)
AC
(iv)
BD
(v)
AB
Question
60
60.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
JK
=
(i)
IK
(ii)
LI
(iii)
JL
(iv)
IJ
(v)
KL
Question
61
61.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
CD
=
(i)
BD
(ii)
AC
(iii)
AB
(iv)
BC
(v)
DA
Question
62
62.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠IJK
=
(i)
∠ILJ
(ii)
∠KLI
(iii)
∠IMJ
(iv)
∠IML
(v)
∠KLJ
Question
63
63.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠PQN
=
(i)
∠NOP
(ii)
∠NRO
(iii)
∠PQO
(iv)
∠NRQ
(v)
∠NQO
Question
64
64.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠EIH
=
(i)
∠GHE
(ii)
∠EHF
(iii)
∠EFG
(iv)
∠GHF
(v)
∠EIF
Question
65
65.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OSP
=
(i)
∠OSR
(ii)
∠OPQ
(iii)
∠ORP
(iv)
∠QRP
(v)
∠QRO
Question
66
66.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△MNK
≅
(i)
△NLM
(ii)
△ONK
(iii)
△OML
(iv)
△NLK
(v)
△MLK
Question
67
67.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△PON
≅
(i)
△RPO
(ii)
△QOP
(iii)
△RQN
(iv)
△QON
(v)
△PQN
Question
68
68.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TSP
≅
(i)
△TRS
(ii)
△TRQ
(iii)
△TQP
(iv)
△SQP
(v)
△SQR
Question
69
69.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GDC
≅
(i)
△FDE
(ii)
△FDC
(iii)
△GED
(iv)
△GFC
(v)
△GEF
Question
70
70.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RPQ
≅
(i)
△QON
(ii)
△QOP
(iii)
△RPO
(iv)
△RON
(v)
△RQN
Question
71
71.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△LJI
≅
(i)
△LJK
(ii)
△KIH
(iii)
△KIJ
(iv)
△LKH
(v)
△LIH
Question
72
72.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠JGK
=
(i)
∠GKJ
(ii)
∠JKI
(iii)
∠HGK
(iv)
∠KIH
(v)
∠KIJ
Question
73
73.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠HGK
=
(i)
∠KIJ
(ii)
∠JKI
(iii)
∠GKJ
(iv)
∠JGK
(v)
∠KIH
Question
74
74.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠KIJ
=
(i)
∠KIH
(ii)
∠JGK
(iii)
∠JKI
(iv)
∠HGK
(v)
∠GKJ
Question
75
75.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠HFE
=
(i)
∠GDH
(ii)
∠HFG
(iii)
∠GHF
(iv)
∠EDH
(v)
∠DHG
Question
76
76.
In the given parallelogram, which of the following statements are true?
a)
R
is the mid point of
OQ
b)
OR
=
RP
c)
OR
=
QR
d)
△OQN
≅
△PQN
e)
QN
∥
OP
(i)
{b,a}
(ii)
{d,c}
(iii)
{b,d,e}
(iv)
{a,c,e}
(v)
{b,a,c}
Question
77
77.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
QR
=
(i)
QN
(ii)
PR
(iii)
OR
(iv)
OP
(v)
NR
Question
78
78.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠PQR
=
(i)
∠PQT
(ii)
∠QRS
(iii)
∠SPQ
(iv)
∠RSP
Assignment Key
1) (ii)
2) (ii)
3) (iv)
4) (i)
5) (v)
6) (ii)
7) (ii)
8) (i)
9) (ii)
10) (i)
11) (iv)
12) (i)
13) (iii)
14) (i)
15) (i)
16) (iv)
17) (iv)
18) (iii)
19) (iv)
20) (v)
21) (ii)
22) (iv)
23) (i)
24) (iii)
25) (iv)
26) (iii)
27) (ii)
28) (ii)
29) (iii)
30) (i)
31) (ii)
32) (ii)
33) (iii)
34) (iv)
35) (iv)
36) (ii)
37) (iv)
38) (iii)
39) (ii)
40) (i)
41) (iii)
42) (iii)
43) (i)
44) (ii)
45) (iii)
46) (ii)
47) (iv)
48) (ii)
49) (iv)
50) (ii)
51) (iii)
52) (ii)
53) (iii)
54) (ii)
55) (iv)
56) (iii)
57) (v)
58) (iii)
59) (v)
60) (v)
61) (iv)
62) (ii)
63) (i)
64) (v)
65) (i)
66) (v)
67) (v)
68) (iii)
69) (iv)
70) (iii)
71) (i)
72) (iii)
73) (iv)
74) (i)
75) (ii)
76) (iv)
77) (iii)
78) (iv)