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)
GJ
=
JF
b)
GJ
=
JH
c)
∠GJF
=
∠IJH
d)
J
is the mid point of
GI
e)
FG
∥
HI
(i)
{b,d}
(ii)
{c,d,e}
(iii)
{a,b,e}
(iv)
{a,c}
(v)
{a,c,d}
Question
2
2.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
∥
(i)
EG
(ii)
GH
(iii)
FG
(iv)
HE
(v)
FH
Question
3
3.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
DE
∥
(i)
BC
(ii)
CD
(iii)
CE
(iv)
BD
(v)
EB
Question
4
4.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
JG
∥
(i)
HJ
(ii)
HI
(iii)
GH
(iv)
IJ
(v)
GI
Question
5
5.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
HI
∥
(i)
GI
(ii)
GH
(iii)
JG
(iv)
IJ
(v)
HJ
Question
6
6.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
NO
=
(i)
OQ
(ii)
OP
(iii)
NP
(iv)
QN
(v)
PQ
Question
7
7.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
NO
=
(i)
MN
(ii)
LM
(iii)
MO
(iv)
OL
(v)
LN
Question
8
8.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
GD
=
(i)
DE
(ii)
DF
(iii)
EG
(iv)
EF
(v)
FG
Question
9
9.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BC
=
(i)
AC
(ii)
CD
(iii)
BD
(iv)
DA
(v)
AB
Question
10
10.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△JGH
≅
(i)
△GHI
(ii)
△IJK
(iii)
△IJG
(iv)
△GHK
(v)
△HIJ
Question
11
11.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△GHI
≅
(i)
△FGJ
(ii)
△FGH
(iii)
△HIJ
(iv)
△HIF
(v)
△IFG
Question
12
12.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
△JKH
≅
(i)
△HIJ
(ii)
△KHI
(iii)
△HIL
(iv)
△IJK
(v)
△JKL
Question
13
13.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△IJK
≅
(i)
△KLI
(ii)
△JKL
(iii)
△KLM
(iv)
△LIJ
(v)
△IJM
Question
14
14.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
∠HEF
=
(i)
∠GHE
(ii)
∠EFI
(iii)
∠FGH
(iv)
∠GHI
(v)
∠EFG
Question
15
15.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠GHI
=
(i)
∠FGJ
(ii)
∠FGH
(iii)
∠HIF
(iv)
∠IFG
(v)
∠HIJ
Question
16
16.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
∠ABC
=
(i)
∠CDA
(ii)
∠BCD
(iii)
∠CDE
(iv)
∠ABE
(v)
∠DAB
Question
17
17.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠RSP
=
(i)
∠PQT
(ii)
∠RST
(iii)
∠QRS
(iv)
∠SPQ
(v)
∠PQR
Question
18
18.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
MO
=
(i)
KO
(ii)
NO
(iii)
LM
(iv)
LO
(v)
NK
Question
19
19.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
EH
=
(i)
FH
(ii)
EF
(iii)
GH
(iv)
GD
(v)
DH
Question
20
20.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
JK
∥
(i)
LM
(ii)
KL
(iii)
KM
(iv)
MJ
Question
21
21.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
EF
∥
(i)
CD
(ii)
DE
(iii)
FC
(iv)
DF
Question
22
22.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
EB
∥
(i)
CE
(ii)
CD
(iii)
DE
(iv)
BC
Question
23
23.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
MN
∥
(i)
OL
(ii)
NO
(iii)
LM
(iv)
MO
Question
24
24.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
KL
≠
(i)
MN
(ii)
LM
(iii)
LN
(iv)
NK
Question
25
25.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
JK
≠
(i)
IJ
(ii)
KH
(iii)
IK
(iv)
HI
Question
26
26.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
DA
≠
(i)
CD
(ii)
AB
(iii)
BD
(iv)
BC
Question
27
27.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
BC
≠
(i)
BD
(ii)
CD
(iii)
DA
(iv)
AB
Question
28
28.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△DAB
≅
(i)
△CDA
(ii)
△BCD
(iii)
△EAB
(iv)
△ABC
Question
29
29.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△EFG
≅
(i)
△HDE
(ii)
△FGD
(iii)
△GDE
(iv)
△DEF
Question
30
30.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△EFC
≅
(i)
△FCD
(ii)
△CDE
(iii)
△DEF
(iv)
△GCD
Question
31
31.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△DEF
≅
(i)
△GDE
(ii)
△EFG
(iii)
△HDE
(iv)
△FGD
Question
32
32.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△RNO
≇
(i)
△RPQ
(ii)
△QNO
(iii)
△RPO
(iv)
△RNQ
Question
33
33.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRQ
≇
(i)
△TPS
(ii)
△TPQ
(iii)
△TRS
(iv)
△SPQ
Question
34
34.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NLM
≇
(i)
△MJK
(ii)
△NJM
(iii)
△NJK
(iv)
△NLK
Question
35
35.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QMP
≇
(i)
△QON
(ii)
△QOP
(iii)
△PMN
(iv)
△QMN
Question
36
36.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠GDE
=
(i)
∠DEH
(ii)
∠FGD
(iii)
∠EFG
(iv)
∠DEF
Question
37
37.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DEF
=
(i)
∠FCD
(ii)
∠CDE
(iii)
∠EFC
(iv)
∠CDG
Question
38
38.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠KLM
=
(i)
∠NKL
(ii)
∠MNK
(iii)
∠KLO
(iv)
∠LMN
Question
39
39.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠JKH
=
(i)
∠IJK
(ii)
∠KHI
(iii)
∠HIJ
(iv)
∠HIL
Question
40
40.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠HKG
≠
(i)
∠IKH
(ii)
∠JKI
(iii)
∠GKJ
(iv)
∠JGH
Question
41
41.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MNL
≠
(i)
∠JNM
(ii)
∠KNJ
(iii)
∠MJK
(iv)
∠LNK
Question
42
42.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠IML
≠
(i)
∠KMJ
(ii)
∠LIJ
(iii)
∠LMK
(iv)
∠JMI
Question
43
43.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠LNK
≠
(i)
∠KNJ
(ii)
∠JNM
(iii)
∠MJK
(iv)
∠MNL
Question
44
44.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PLM
≠
(i)
∠OLP
(ii)
∠LPO
(iii)
∠PNO
(iv)
∠MNP
Question
45
45.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠ECD
≠
(i)
∠DAE
(ii)
∠EAB
(iii)
∠BCE
(iv)
∠AED
Question
46
46.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠KHL
≠
(i)
∠LJK
(ii)
∠LHI
(iii)
∠HLK
(iv)
∠IJL
Question
47
47.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠OPR
≠
(i)
∠NRQ
(ii)
∠QNR
(iii)
∠RNO
(iv)
∠RPQ
Question
48
48.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠LKH
≠
(i)
∠HIL
(ii)
∠LIJ
(iii)
∠KLJ
(iv)
∠JKL
Question
49
49.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SPQ
≠
(i)
∠QRS
(ii)
∠RSQ
(iii)
∠SRO
(iv)
∠OPS
Question
50
50.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EFI
≠
(i)
∠HIG
(ii)
∠IHE
(iii)
∠GHI
(iv)
∠IFG
Question
51
51.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠PQR
≠
(i)
∠RQN
(ii)
∠ROP
(iii)
∠NOR
(iv)
∠QRP
Question
52
52.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RS
=
(i)
PS
(ii)
RO
(iii)
QS
(iv)
OS
Question
53
53.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
GJ
=
(i)
IJ
(ii)
IF
(iii)
HJ
(iv)
FJ
Question
54
54.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FJ
=
(i)
IF
(ii)
HJ
(iii)
IJ
(iv)
GJ
Question
55
55.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
MO
=
(i)
KO
(ii)
NK
(iii)
NO
(iv)
LO
Question
56
56.
In trapezium
DEFG
,
DF
and
EG
are diagonals.
Then
DE
∥
(i)
GD
(ii)
FG
(iii)
EG
(iv)
DF
(v)
EF
Question
57
57.
In trapezium
ABCD
,
AC
and
BD
are diagonals.
Then
CD
∥
(i)
AB
(ii)
BD
(iii)
AC
(iv)
DA
(v)
BC
Question
58
58.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
MN
=
(i)
PM
(ii)
NO
(iii)
OP
(iv)
MO
(v)
NP
Question
59
59.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
KH
=
(i)
IJ
(ii)
JK
(iii)
IK
(iv)
HJ
(v)
HI
Question
60
60.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
GH
=
(i)
FG
(ii)
GI
(iii)
HI
(iv)
FH
(v)
IF
Question
61
61.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
QR
=
(i)
PR
(ii)
PQ
(iii)
RO
(iv)
OP
(v)
OQ
Question
62
62.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CDE
=
(i)
∠CGF
(ii)
∠EFC
(iii)
∠EFD
(iv)
∠CGD
(v)
∠CFD
Question
63
63.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠JKH
=
(i)
∠JKI
(ii)
∠HLI
(iii)
∠HKI
(iv)
∠HLK
(v)
∠HIJ
Question
64
64.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠AED
=
(i)
∠AEB
(ii)
∠CDB
(iii)
∠ABC
(iv)
∠CDA
(v)
∠ADB
Question
65
65.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OSP
=
(i)
∠OSR
(ii)
∠QRP
(iii)
∠OPQ
(iv)
∠QRO
(v)
∠ORP
Question
66
66.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△CDA
≅
(i)
△CBA
(ii)
△DBC
(iii)
△ECB
(iv)
△DBA
(v)
△EDA
Question
67
67.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△JIH
≅
(i)
△LKH
(ii)
△KIJ
(iii)
△KIH
(iv)
△JKH
(v)
△LJI
Question
68
68.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MLI
≅
(i)
△MJI
(ii)
△LJK
(iii)
△MKL
(iv)
△LJI
(v)
△MKJ
Question
69
69.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MJI
≅
(i)
△LJI
(ii)
△LJK
(iii)
△MKL
(iv)
△MKJ
(v)
△MLI
Question
70
70.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QOP
≅
(i)
△PNM
(ii)
△PNO
(iii)
△QPM
(iv)
△QON
(v)
△QNM
Question
71
71.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SQP
≅
(i)
△RPO
(ii)
△RPQ
(iii)
△SQR
(iv)
△SPO
(v)
△SRO
Question
72
72.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠GDH
=
(i)
∠EDH
(ii)
∠HFE
(iii)
∠HFG
(iv)
∠GHF
(v)
∠DHG
Question
73
73.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠LKO
=
(i)
∠NOM
(ii)
∠OML
(iii)
∠KON
(iv)
∠OMN
(v)
∠NKO
Question
74
74.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠FDE
=
(i)
∠EFD
(ii)
∠EBF
(iii)
∠CBF
(iv)
∠BFE
(v)
∠FDC
Question
75
75.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠SQP
=
(i)
∠RSQ
(ii)
∠SQR
(iii)
∠ROS
(iv)
∠POS
(v)
∠OSR
Question
76
76.
Which of the following figures is a regular quadrilateral?
(i)
trapezium
(ii)
square
(iii)
parallelogram
(iv)
rhombus
(v)
rectangle
Question
77
77.
In the given figure, HIJK is a parallelogram.
If
HU
and
IU
are bisector of
∠H
&
∠I
, find
∠U
(i)
92°
(ii)
89°
(iii)
90°
(iv)
88°
(v)
91°
Question
78
78.
CDEF is a rhombus. O, P, Q and R are mid-points of sides CD, DE, EF and FC. Find ∠PQR
(i)
88°
(ii)
90°
(iii)
91°
(iv)
92°
(v)
89°
Assignment Key
1) (ii)
2) (ii)
3) (i)
4) (ii)
5) (iii)
6) (v)
7) (ii)
8) (iv)
9) (iv)
10) (v)
11) (v)
12) (i)
13) (i)
14) (iii)
15) (iv)
16) (i)
17) (v)
18) (i)
19) (iii)
20) (i)
21) (i)
22) (ii)
23) (i)
24) (iii)
25) (iii)
26) (iii)
27) (i)
28) (ii)
29) (iii)
30) (ii)
31) (iv)
32) (ii)
33) (iv)
34) (i)
35) (iii)
36) (iii)
37) (i)
38) (ii)
39) (iii)
40) (iv)
41) (iii)
42) (ii)
43) (iii)
44) (ii)
45) (iv)
46) (iii)
47) (i)
48) (iii)
49) (ii)
50) (i)
51) (iv)
52) (i)
53) (i)
54) (ii)
55) (i)
56) (ii)
57) (i)
58) (i)
59) (v)
60) (iii)
61) (ii)
62) (ii)
63) (v)
64) (i)
65) (i)
66) (i)
67) (iv)
68) (i)
69) (v)
70) (iv)
71) (iii)
72) (i)
73) (v)
74) (v)
75) (ii)
76) (ii)
77) (iii)
78) (ii)