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)
rhombus
(ii)
parallelogram
(iii)
trapezium
(iv)
square
(v)
rectangle
Question
2
2.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
∥
(i)
FG
(ii)
FH
(iii)
EG
(iv)
HE
(v)
GH
Question
3
3.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
EF
∥
(i)
FC
(ii)
CE
(iii)
CD
(iv)
DE
(v)
DF
Question
4
4.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
EB
∥
(i)
BD
(ii)
DE
(iii)
CE
(iv)
CD
(v)
BC
Question
5
5.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
KL
∥
(i)
JL
(ii)
JK
(iii)
MJ
(iv)
KM
(v)
LM
Question
6
6.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
NO
=
(i)
PQ
(ii)
OP
(iii)
QN
(iv)
NP
(v)
OQ
Question
7
7.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
DE
=
(i)
CD
(ii)
BC
(iii)
CE
(iv)
BD
(v)
EB
Question
8
8.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
IF
=
(i)
FH
(ii)
FG
(iii)
GH
(iv)
HI
(v)
GI
Question
9
9.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
EF
=
(i)
FG
(ii)
DF
(iii)
DE
(iv)
GD
(v)
EG
Question
10
10.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△SPQ
≅
(i)
△QRS
(ii)
△PQT
(iii)
△RSP
(iv)
△PQR
(v)
△RST
Question
11
11.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△JKL
≅
(i)
△IJM
(ii)
△KLI
(iii)
△LIJ
(iv)
△KLM
(v)
△IJK
Question
12
12.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△GHE
≅
(i)
△HEF
(ii)
△EFG
(iii)
△EFI
(iv)
△FGH
(v)
△GHI
Question
13
13.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
△HIJ
≅
(i)
△JKH
(ii)
△HIL
(iii)
△IJK
(iv)
△JKL
(v)
△KHI
Question
14
14.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
∠EBC
=
(i)
∠BCD
(ii)
∠DEF
(iii)
∠CDE
(iv)
∠DEB
(v)
∠BCF
Question
15
15.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠NOP
=
(i)
∠MNO
(ii)
∠OPM
(iii)
∠OPQ
(iv)
∠PMN
(v)
∠MNQ
Question
16
16.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
∠GHI
=
(i)
∠GHK
(ii)
∠IJK
(iii)
∠JGH
(iv)
∠IJG
(v)
∠HIJ
Question
17
17.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠QRO
=
(i)
∠OPQ
(ii)
∠QRS
(iii)
∠OPS
(iv)
∠ROP
(v)
∠PQR
Question
18
18.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
PR
=
(i)
QR
(ii)
OR
(iii)
NR
(iv)
OP
(v)
QN
Question
19
19.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KO
=
(i)
LO
(ii)
MO
(iii)
NK
(iv)
NO
(v)
LM
Question
20
20.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DG
=
(i)
FG
(ii)
DE
(iii)
EG
(iv)
CG
(v)
FC
Question
21
21.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
MN
∥
(i)
OP
(ii)
PM
(iii)
NP
(iv)
NO
Question
22
22.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
LM
∥
(i)
KM
(ii)
MJ
(iii)
JK
(iv)
KL
Question
23
23.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
JG
∥
(i)
GH
(ii)
HJ
(iii)
HI
(iv)
IJ
Question
24
24.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
FG
∥
(i)
EF
(ii)
HE
(iii)
FH
(iv)
GH
Question
25
25.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
DE
≠
(i)
EG
(ii)
EF
(iii)
FG
(iv)
GD
Question
26
26.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
OP
≠
(i)
NO
(ii)
PM
(iii)
MN
(iv)
NP
Question
27
27.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RO
≠
(i)
QR
(ii)
PQ
(iii)
OP
(iv)
PR
Question
28
28.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
BC
≠
(i)
BD
(ii)
CD
(iii)
AB
(iv)
DA
Question
29
29.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△PMN
≅
(i)
△MNO
(ii)
△NOP
(iii)
△OPM
(iv)
△QMN
Question
30
30.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△IJK
≅
(i)
△JKH
(ii)
△LHI
(iii)
△KHI
(iv)
△HIJ
Question
31
31.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△RSP
≅
(i)
△QRS
(ii)
△TPQ
(iii)
△SPQ
(iv)
△PQR
Question
32
32.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△ABC
≅
(i)
△DAB
(ii)
△CDA
(iii)
△BCD
(iv)
△EAB
Question
33
33.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IEF
≇
(i)
△HEF
(ii)
△IEH
(iii)
△IGH
(iv)
△IGF
Question
34
34.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△GED
≇
(i)
△GCD
(ii)
△GCF
(iii)
△GEF
(iv)
△FCD
Question
35
35.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NLM
≇
(i)
△MJK
(ii)
△NJK
(iii)
△NLK
(iv)
△NJM
Question
36
36.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JFI
≇
(i)
△JHI
(ii)
△JHG
(iii)
△IFG
(iv)
△JFG
Question
37
37.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MJK
=
(i)
∠KLM
(ii)
∠LMJ
(iii)
∠JKN
(iv)
∠JKL
Question
38
38.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠QRS
=
(i)
∠PQR
(ii)
∠SPQ
(iii)
∠RSP
(iv)
∠PQT
Question
39
39.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NOL
=
(i)
∠LMN
(ii)
∠MNO
(iii)
∠LMP
(iv)
∠OLM
Question
40
40.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠LOK
≠
(i)
∠NOM
(ii)
∠KON
(iii)
∠NKL
(iv)
∠MOL
Question
41
41.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠EFD
≠
(i)
∠DFC
(ii)
∠EBC
(iii)
∠CFB
(iv)
∠BFE
Question
42
42.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠AED
≠
(i)
∠BEA
(ii)
∠DAB
(iii)
∠CEB
(iv)
∠DEC
Question
43
43.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠EGD
≠
(i)
∠FCD
(ii)
∠CGF
(iii)
∠DGC
(iv)
∠FGE
Question
44
44.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QMN
≠
(i)
∠NOQ
(ii)
∠PMQ
(iii)
∠MQP
(iv)
∠QOP
Question
45
45.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TRS
≠
(i)
∠PTS
(ii)
∠SPT
(iii)
∠QRT
(iv)
∠TPQ
Question
46
46.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠DAE
≠
(i)
∠EAB
(ii)
∠AED
(iii)
∠BCE
(iv)
∠ECD
Question
47
47.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠IJL
≠
(i)
∠LJK
(ii)
∠HLK
(iii)
∠KHL
(iv)
∠LHI
Question
48
48.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EDA
≠
(i)
∠ABE
(ii)
∠DEC
(iii)
∠CDE
(iv)
∠EBC
Question
49
49.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EBC
≠
(i)
∠EDA
(ii)
∠DEC
(iii)
∠ABE
(iv)
∠CDE
Question
50
50.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠PQT
≠
(i)
∠STR
(ii)
∠RST
(iii)
∠TSP
(iv)
∠TQR
Question
51
51.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IJK
≠
(i)
∠KHI
(ii)
∠KJG
(iii)
∠GHK
(iv)
∠JKI
Question
52
52.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
JK
=
(i)
GK
(ii)
HK
(iii)
JG
(iv)
IK
Question
53
53.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
IL
=
(i)
HL
(ii)
KH
(iii)
KL
(iv)
JL
Question
54
54.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
DH
=
(i)
GD
(ii)
GH
(iii)
EH
(iv)
FH
Question
55
55.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
OQ
=
(i)
PQ
(ii)
MQ
(iii)
NQ
(iv)
PM
Question
56
56.
In trapezium
BCDE
,
BD
and
CE
are diagonals.
Then
BC
∥
(i)
CE
(ii)
EB
(iii)
CD
(iv)
DE
(v)
BD
Question
57
57.
In trapezium
MNOP
,
MO
and
NP
are diagonals.
Then
OP
∥
(i)
NO
(ii)
MO
(iii)
NP
(iv)
MN
(v)
PM
Question
58
58.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
NO
=
(i)
NP
(ii)
QN
(iii)
OQ
(iv)
PQ
(v)
OP
Question
59
59.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
RO
=
(i)
QR
(ii)
PR
(iii)
OP
(iv)
PQ
(v)
OQ
Question
60
60.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
EF
=
(i)
EG
(ii)
FG
(iii)
DF
(iv)
GD
(v)
DE
Question
61
61.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
IJ
=
(i)
JG
(ii)
GH
(iii)
HJ
(iv)
HI
(v)
GI
Question
62
62.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠FGH
=
(i)
∠FIG
(ii)
∠FJG
(iii)
∠FJI
(iv)
∠HIG
(v)
∠HIF
Question
63
63.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠DEB
=
(i)
∠BFE
(ii)
∠BFC
(iii)
∠BEC
(iv)
∠DEC
(v)
∠BCD
Question
64
64.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠MQP
=
(i)
∠MNO
(ii)
∠MQN
(iii)
∠OPN
(iv)
∠MPN
(v)
∠OPM
Question
65
65.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠BFC
=
(i)
∠BEC
(ii)
∠DEC
(iii)
∠BFE
(iv)
∠DEB
(v)
∠BCD
Question
66
66.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△KLI
≅
(i)
△MKJ
(ii)
△LJI
(iii)
△MLI
(iv)
△LJK
(v)
△KJI
Question
67
67.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△MLK
≅
(i)
△OML
(ii)
△ONK
(iii)
△MNK
(iv)
△NLK
(v)
△NLM
Question
68
68.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△NMJ
≅
(i)
△MKJ
(ii)
△NLK
(iii)
△NLM
(iv)
△MKL
(v)
△NKJ
Question
69
69.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△IFE
≅
(i)
△IHE
(ii)
△HFG
(iii)
△IGH
(iv)
△IGF
(v)
△HFE
Question
70
70.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RPQ
≅
(i)
△QOP
(ii)
△RQN
(iii)
△QON
(iv)
△RON
(v)
△RPO
Question
71
71.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TRQ
≅
(i)
△SQR
(ii)
△TRS
(iii)
△TQP
(iv)
△SQP
(v)
△TSP
Question
72
72.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠KHL
=
(i)
∠LJK
(ii)
∠KLJ
(iii)
∠HLK
(iv)
∠IHL
(v)
∠LJI
Question
73
73.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠ONR
=
(i)
∠RPQ
(ii)
∠QNR
(iii)
∠NRQ
(iv)
∠RPO
(v)
∠QRP
Question
74
74.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠IGH
=
(i)
∠IGF
(ii)
∠FEI
(iii)
∠HIG
(iv)
∠HEI
(v)
∠EIH
Question
75
75.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠NLK
=
(i)
∠KJN
(ii)
∠JNM
(iii)
∠MJN
(iv)
∠MNL
(v)
∠NLM
Question
76
76.
In the given parallelogram, which of the following statements are true?
a)
P
is the mid point of
MO
b)
MP
=
OP
c)
∠MPL
=
∠OPN
d)
MP
=
PN
e)
MP
=
PL
(i)
{e,b}
(ii)
{d,e,c}
(iii)
{d,a}
(iv)
{d,a,b}
(v)
{a,b,c}
Question
77
77.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
LM
=
(i)
LI
(ii)
JM
(iii)
IM
(iv)
KM
(v)
JK
Question
78
78.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EFG
=
(i)
∠HEF
(ii)
∠GHE
(iii)
∠FGH
(iv)
∠EFI
Assignment Key
1) (iv)
2) (v)
3) (iii)
4) (iv)
5) (iii)
6) (i)
7) (ii)
8) (iii)
9) (iv)
10) (i)
11) (iii)
12) (ii)
13) (i)
14) (iii)
15) (iv)
16) (iv)
17) (i)
18) (iii)
19) (ii)
20) (i)
21) (i)
22) (iii)
23) (iii)
24) (ii)
25) (i)
26) (iv)
27) (iv)
28) (i)
29) (ii)
30) (iii)
31) (iv)
32) (ii)
33) (i)
34) (iv)
35) (i)
36) (iii)
37) (i)
38) (ii)
39) (i)
40) (iii)
41) (ii)
42) (ii)
43) (i)
44) (iii)
45) (i)
46) (ii)
47) (ii)
48) (ii)
49) (ii)
50) (i)
51) (iv)
52) (ii)
53) (iii)
54) (iv)
55) (ii)
56) (iv)
57) (iv)
58) (ii)
59) (iii)
60) (ii)
61) (iv)
62) (v)
63) (v)
64) (ii)
65) (iii)
66) (v)
67) (iii)
68) (v)
69) (i)
70) (v)
71) (ii)
72) (iv)
73) (ii)
74) (i)
75) (v)
76) (v)
77) (ii)
78) (ii)