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)
parallelogram
(iii)
rhombus
(iv)
rectangle
(v)
square
Question
2
2.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
IJ
∥
(i)
KL
(ii)
JL
(iii)
JK
(iv)
IK
(v)
LI
Question
3
3.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
CD
∥
(i)
DA
(ii)
BC
(iii)
BD
(iv)
AC
(v)
AB
Question
4
4.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
∥
(i)
LM
(ii)
MO
(iii)
LN
(iv)
MN
(v)
NO
Question
5
5.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
CD
∥
(i)
EB
(ii)
CE
(iii)
DE
(iv)
BC
(v)
BD
Question
6
6.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
MN
=
(i)
NP
(ii)
NO
(iii)
OP
(iv)
MO
(v)
PM
Question
7
7.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QR
=
(i)
OP
(ii)
PQ
(iii)
RO
(iv)
PR
(v)
OQ
Question
8
8.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
SP
=
(i)
PR
(ii)
QS
(iii)
RS
(iv)
QR
(v)
PQ
Question
9
9.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
=
(i)
IK
(ii)
KH
(iii)
HI
(iv)
JK
(v)
HJ
Question
10
10.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△JGH
≅
(i)
△IJK
(ii)
△GHI
(iii)
△GHK
(iv)
△HIJ
(v)
△IJG
Question
11
11.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△PQR
≅
(i)
△OPS
(ii)
△ROP
(iii)
△QRO
(iv)
△OPQ
(v)
△QRS
Question
12
12.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△HIF
≅
(i)
△IFG
(ii)
△FGH
(iii)
△GHI
(iv)
△HIJ
(v)
△FGJ
Question
13
13.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△FGH
≅
(i)
△HIF
(ii)
△GHI
(iii)
△FGJ
(iv)
△IFG
(v)
△HIJ
Question
14
14.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
∠NKL
=
(i)
∠LMN
(ii)
∠KLM
(iii)
∠KLO
(iv)
∠MNO
(v)
∠MNK
Question
15
15.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
∠BCD
=
(i)
∠CDA
(ii)
∠ABE
(iii)
∠ABC
(iv)
∠DAB
(v)
∠CDE
Question
16
16.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠HIJ
=
(i)
∠JKH
(ii)
∠KHI
(iii)
∠IJK
(iv)
∠JKL
(v)
∠HIL
Question
17
17.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠JKH
=
(i)
∠IJK
(ii)
∠HIJ
(iii)
∠KHI
(iv)
∠HIL
(v)
∠JKL
Question
18
18.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JL
=
(i)
IJ
(ii)
KL
(iii)
KH
(iv)
IL
(v)
HL
Question
19
19.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
NR
=
(i)
OP
(ii)
QR
(iii)
PR
(iv)
OR
(v)
QN
Question
20
20.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BE
=
(i)
DE
(ii)
DA
(iii)
AE
(iv)
CE
(v)
BC
Question
21
21.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
JK
∥
(i)
KL
(ii)
KM
(iii)
MJ
(iv)
LM
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
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
HE
∥
(i)
FG
(ii)
EF
(iii)
GH
(iv)
FH
Question
24
24.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
DE
∥
(i)
FC
(ii)
CD
(iii)
DF
(iv)
EF
Question
25
25.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FG
≠
(i)
IF
(ii)
GH
(iii)
GI
(iv)
HI
Question
26
26.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
PQ
≠
(i)
OQ
(ii)
OP
(iii)
NO
(iv)
QN
Question
27
27.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
IF
≠
(i)
GI
(ii)
GH
(iii)
FG
(iv)
HI
Question
28
28.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
PQ
≠
(i)
QR
(ii)
PR
(iii)
OP
(iv)
RO
Question
29
29.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△QNO
≅
(i)
△PQN
(ii)
△NOP
(iii)
△OPQ
(iv)
△RNO
Question
30
30.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△DEF
≅
(i)
△CDE
(ii)
△FCD
(iii)
△EFC
(iv)
△GCD
Question
31
31.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△DEB
≅
(i)
△CDE
(ii)
△EBC
(iii)
△FBC
(iv)
△BCD
Question
32
32.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△ABC
≅
(i)
△BCD
(ii)
△EAB
(iii)
△DAB
(iv)
△CDA
Question
33
33.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△RNO
≇
(i)
△RPQ
(ii)
△RPO
(iii)
△RNQ
(iv)
△QNO
Question
34
34.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IGF
≇
(i)
△IGH
(ii)
△IEH
(iii)
△HEF
(iv)
△IEF
Question
35
35.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△KIJ
≇
(i)
△KGH
(ii)
△KIH
(iii)
△JGH
(iv)
△KGJ
Question
36
36.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△HDG
≇
(i)
△HDE
(ii)
△GDE
(iii)
△HFE
(iv)
△HFG
Question
37
37.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠ROP
=
(i)
∠QRO
(ii)
∠PQR
(iii)
∠OPQ
(iv)
∠OPS
Question
38
38.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠FGH
=
(i)
∠GHE
(ii)
∠HEF
(iii)
∠EFI
(iv)
∠EFG
Question
39
39.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠GHE
=
(i)
∠HEF
(ii)
∠EFI
(iii)
∠EFG
(iv)
∠FGH
Question
40
40.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DGC
≠
(i)
∠FGE
(ii)
∠FCD
(iii)
∠CGF
(iv)
∠EGD
Question
41
41.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠LMK
≠
(i)
∠IML
(ii)
∠LIJ
(iii)
∠JMI
(iv)
∠KMJ
Question
42
42.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠FJI
≠
(i)
∠IFG
(ii)
∠GJF
(iii)
∠IJH
(iv)
∠HJG
Question
43
43.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IKH
≠
(i)
∠JGH
(ii)
∠GKJ
(iii)
∠HKG
(iv)
∠JKI
Question
44
44.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PLM
≠
(i)
∠MNP
(ii)
∠LPO
(iii)
∠PNO
(iv)
∠OLP
Question
45
45.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠RPQ
≠
(i)
∠RNO
(ii)
∠NRQ
(iii)
∠OPR
(iv)
∠QNR
Question
46
46.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QNR
≠
(i)
∠OPR
(ii)
∠RPQ
(iii)
∠RNO
(iv)
∠NRQ
Question
47
47.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠IJL
≠
(i)
∠LHI
(ii)
∠HLK
(iii)
∠KHL
(iv)
∠LJK
Question
48
48.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠JIF
≠
(i)
∠HIJ
(ii)
∠FGJ
(iii)
∠IJH
(iv)
∠JGH
Question
49
49.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠ROP
≠
(i)
∠NOR
(ii)
∠QRP
(iii)
∠PQR
(iv)
∠RQN
Question
50
50.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠OPS
≠
(i)
∠RSQ
(ii)
∠SPQ
(iii)
∠QRS
(iv)
∠SRO
Question
51
51.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠FGH
≠
(i)
∠HGD
(ii)
∠GHF
(iii)
∠DEH
(iv)
∠HEF
Question
52
52.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
DE
=
(i)
DA
(ii)
BE
(iii)
AE
(iv)
CE
Question
53
53.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
EH
=
(i)
DH
(ii)
FH
(iii)
GH
(iv)
GD
Question
54
54.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
KO
=
(i)
NK
(ii)
MO
(iii)
NO
(iv)
LO
Question
55
55.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
CE
=
(i)
DE
(ii)
DA
(iii)
BE
(iv)
AE
Question
56
56.
In trapezium
IJKL
,
IK
and
JL
are diagonals.
Then
IJ
∥
(i)
JK
(ii)
IK
(iii)
LI
(iv)
JL
(v)
KL
Question
57
57.
In trapezium
KLMN
,
KM
and
LN
are diagonals.
Then
MN
∥
(i)
NK
(ii)
LM
(iii)
LN
(iv)
KL
(v)
KM
Question
58
58.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
BC
=
(i)
DE
(ii)
EB
(iii)
CD
(iv)
BD
(v)
CE
Question
59
59.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
IF
=
(i)
HI
(ii)
GH
(iii)
GI
(iv)
FG
(v)
FH
Question
60
60.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
NO
=
(i)
OP
(ii)
MN
(iii)
PM
(iv)
NP
(v)
MO
Question
61
61.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
OP
=
(i)
MO
(ii)
NP
(iii)
MN
(iv)
PM
(v)
NO
Question
62
62.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CDE
=
(i)
∠EFD
(ii)
∠CGF
(iii)
∠CFD
(iv)
∠CGD
(v)
∠EFC
Question
63
63.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠NOL
=
(i)
∠LOM
(ii)
∠LMN
(iii)
∠LPO
(iv)
∠LPM
(v)
∠NOM
Question
64
64.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠EIH
=
(i)
∠GHE
(ii)
∠EHF
(iii)
∠EIF
(iv)
∠EFG
(v)
∠GHF
Question
65
65.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CGD
=
(i)
∠CGF
(ii)
∠EFC
(iii)
∠EFD
(iv)
∠CFD
(v)
∠CDE
Question
66
66.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△RSP
≅
(i)
△RQP
(ii)
△TSP
(iii)
△SQR
(iv)
△SQP
(v)
△TRQ
Question
67
67.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△EDC
≅
(i)
△GFC
(ii)
△FDE
(iii)
△FDC
(iv)
△EFC
(v)
△GED
Question
68
68.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MLI
≅
(i)
△MKJ
(ii)
△MJI
(iii)
△LJI
(iv)
△LJK
(v)
△MKL
Question
69
69.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JGF
≅
(i)
△JHI
(ii)
△JHG
(iii)
△IGF
(iv)
△IGH
(v)
△JIF
Question
70
70.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JHI
≅
(i)
△IGF
(ii)
△JHG
(iii)
△JGF
(iv)
△JIF
(v)
△IGH
Question
71
71.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RPO
≅
(i)
△RPQ
(ii)
△QOP
(iii)
△RON
(iv)
△RQN
(v)
△QON
Question
72
72.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠HEI
=
(i)
∠IGF
(ii)
∠IGH
(iii)
∠FEI
(iv)
∠HIG
(v)
∠EIH
Question
73
73.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠KJN
=
(i)
∠JNM
(ii)
∠NLM
(iii)
∠MNL
(iv)
∠MJN
(v)
∠NLK
Question
74
74.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠ECD
=
(i)
∠DAE
(ii)
∠AED
(iii)
∠BAE
(iv)
∠DEC
(v)
∠ECB
Question
75
75.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠RPO
=
(i)
∠QRP
(ii)
∠RPQ
(iii)
∠NRQ
(iv)
∠ONR
(v)
∠QNR
Question
76
76.
In the given parallelogram, which of the following statements are true?
a)
△EGD
≅
△FGD
b)
EH
=
HF
c)
H
is the mid point of
EG
d)
∠EFG
=
∠GDE
e)
H
is the mid point of
DF
(i)
{c,d,e}
(ii)
{a,b,e}
(iii)
{a,c}
(iv)
{b,d}
(v)
{a,c,d}
Question
77
77.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
IJ
=
(i)
GJ
(ii)
FJ
(iii)
IF
(iv)
GH
(v)
HJ
Question
78
78.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠DEF
=
(i)
∠GDE
(ii)
∠FGD
(iii)
∠EFG
(iv)
∠DEH
Assignment Key
1) (v)
2) (i)
3) (v)
4) (iv)
5) (i)
6) (iii)
7) (i)
8) (iv)
9) (ii)
10) (iv)
11) (ii)
12) (ii)
13) (i)
14) (i)
15) (iv)
16) (i)
17) (ii)
18) (v)
19) (iii)
20) (i)
21) (iv)
22) (iii)
23) (i)
24) (i)
25) (iii)
26) (i)
27) (i)
28) (ii)
29) (iii)
30) (ii)
31) (iv)
32) (iv)
33) (iv)
34) (iii)
35) (iii)
36) (ii)
37) (ii)
38) (ii)
39) (iii)
40) (ii)
41) (ii)
42) (i)
43) (i)
44) (ii)
45) (ii)
46) (iv)
47) (ii)
48) (iii)
49) (ii)
50) (i)
51) (ii)
52) (ii)
53) (iii)
54) (ii)
55) (iv)
56) (v)
57) (iv)
58) (ii)
59) (iv)
60) (i)
61) (v)
62) (v)
63) (ii)
64) (iii)
65) (i)
66) (i)
67) (iv)
68) (ii)
69) (v)
70) (ii)
71) (i)
72) (iii)
73) (iv)
74) (v)
75) (ii)
76) (i)
77) (i)
78) (ii)