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)
KN
=
NJ
b)
△KMJ
≅
△LMJ
c)
△NJK
≅
△NLM
d)
JK
∥
LM
e)
N
is the mid point of
KM
(i)
{a,b,e}
(ii)
{b,d}
(iii)
{a,c,d}
(iv)
{a,c}
(v)
{c,d,e}
Question
2
2.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KL
∥
(i)
MN
(ii)
KM
(iii)
LN
(iv)
NK
(v)
LM
Question
3
3.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JK
∥
(i)
HJ
(ii)
HI
(iii)
KH
(iv)
IJ
(v)
IK
Question
4
4.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
DA
∥
(i)
AB
(ii)
CD
(iii)
AC
(iv)
BD
(v)
BC
Question
5
5.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
PQ
∥
(i)
RO
(ii)
PR
(iii)
OQ
(iv)
QR
(v)
OP
Question
6
6.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KL
=
(i)
KM
(ii)
MN
(iii)
LM
(iv)
LN
(v)
NK
Question
7
7.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JK
=
(i)
HJ
(ii)
IK
(iii)
IJ
(iv)
KH
(v)
HI
Question
8
8.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
NK
=
(i)
KM
(ii)
LM
(iii)
LN
(iv)
KL
(v)
MN
Question
9
9.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DE
=
(i)
CD
(ii)
FC
(iii)
CE
(iv)
DF
(v)
EF
Question
10
10.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△MJK
≅
(i)
△JKL
(ii)
△JKN
(iii)
△KLM
(iv)
△LMJ
(v)
△LMN
Question
11
11.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△JKL
≅
(i)
△LIJ
(ii)
△IJK
(iii)
△KLM
(iv)
△KLI
(v)
△IJM
Question
12
12.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△GHE
≅
(i)
△EFG
(ii)
△EFI
(iii)
△FGH
(iv)
△GHI
(v)
△HEF
Question
13
13.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△JKL
≅
(i)
△LMJ
(ii)
△JKN
(iii)
△MJK
(iv)
△LMN
(v)
△KLM
Question
14
14.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
∠GDE
=
(i)
∠EFG
(ii)
∠FGD
(iii)
∠DEF
(iv)
∠DEH
(v)
∠FGH
Question
15
15.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
∠DEF
=
(i)
∠CDE
(ii)
∠FCD
(iii)
∠EFC
(iv)
∠CDG
(v)
∠EFG
Question
16
16.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
∠DEF
=
(i)
∠EFG
(ii)
∠FGD
(iii)
∠GDE
(iv)
∠DEH
(v)
∠FGH
Question
17
17.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
∠CDA
=
(i)
∠ABE
(ii)
∠CDE
(iii)
∠DAB
(iv)
∠ABC
(v)
∠BCD
Question
18
18.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OQ
=
(i)
MQ
(ii)
NQ
(iii)
PM
(iv)
PQ
(v)
NO
Question
19
19.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
KN
=
(i)
JN
(ii)
KL
(iii)
LN
(iv)
MJ
(v)
MN
Question
20
20.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
CD
∥
(i)
EF
(ii)
DF
(iii)
DE
(iv)
FC
Question
21
21.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
FG
∥
(i)
GD
(ii)
EG
(iii)
DE
(iv)
EF
Question
22
22.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OL
∥
(i)
NO
(ii)
MO
(iii)
LM
(iv)
MN
Question
23
23.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
LM
∥
(i)
MN
(ii)
LN
(iii)
NK
(iv)
KL
Question
24
24.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
KL
≠
(i)
LM
(ii)
NK
(iii)
MN
(iv)
LN
Question
25
25.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
OP
≠
(i)
PM
(ii)
NO
(iii)
NP
(iv)
MN
Question
26
26.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
PM
≠
(i)
NP
(ii)
NO
(iii)
OP
(iv)
MN
Question
27
27.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
EF
≠
(i)
DE
(ii)
GD
(iii)
FG
(iv)
EG
Question
28
28.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△QNO
≅
(i)
△NOP
(ii)
△OPQ
(iii)
△RNO
(iv)
△PQN
Question
29
29.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△CDE
≅
(i)
△EBC
(ii)
△FBC
(iii)
△BCD
(iv)
△DEB
Question
30
30.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△IJG
≅
(i)
△HIJ
(ii)
△KGH
(iii)
△JGH
(iv)
△GHI
Question
31
31.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△NOP
≅
(i)
△OPQ
(ii)
△RNO
(iii)
△QNO
(iv)
△PQN
Question
32
32.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NJK
≇
(i)
△NJM
(ii)
△NLK
(iii)
△NLM
(iv)
△MJK
Question
33
33.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IGF
≇
(i)
△IEF
(ii)
△HEF
(iii)
△IGH
(iv)
△IEH
Question
34
34.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△GEF
≇
(i)
△GCF
(ii)
△GCD
(iii)
△FCD
(iv)
△GED
Question
35
35.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△FBE
≇
(i)
△FBC
(ii)
△FDE
(iii)
△EBC
(iv)
△FDC
Question
36
36.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠HEF
=
(i)
∠GHE
(ii)
∠EFI
(iii)
∠EFG
(iv)
∠FGH
Question
37
37.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DEF
=
(i)
∠EFC
(ii)
∠CDE
(iii)
∠CDG
(iv)
∠FCD
Question
38
38.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠BCD
=
(i)
∠CDE
(ii)
∠EBC
(iii)
∠DEB
(iv)
∠BCF
Question
39
39.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠LMJ
=
(i)
∠JKN
(ii)
∠MJK
(iii)
∠JKL
(iv)
∠KLM
Question
40
40.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠BEA
≠
(i)
∠AED
(ii)
∠DAB
(iii)
∠DEC
(iv)
∠CEB
Question
41
41.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QRP
≠
(i)
∠QNO
(ii)
∠PRO
(iii)
∠ORN
(iv)
∠NRQ
Question
42
42.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠IML
≠
(i)
∠LMK
(ii)
∠JMI
(iii)
∠KMJ
(iv)
∠LIJ
Question
43
43.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠QSP
≠
(i)
∠PSO
(ii)
∠ROP
(iii)
∠RSQ
(iv)
∠OSR
Question
44
44.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠LHI
≠
(i)
∠IJL
(ii)
∠LJK
(iii)
∠KHL
(iv)
∠HLK
Question
45
45.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠MKL
≠
(i)
∠MIJ
(ii)
∠IML
(iii)
∠JKM
(iv)
∠LIM
Question
46
46.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠FCG
≠
(i)
∠GCD
(ii)
∠GEF
(iii)
∠CGF
(iv)
∠DEG
Question
47
47.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠MNP
≠
(i)
∠PNO
(ii)
∠PLM
(iii)
∠LPO
(iv)
∠OLP
Question
48
48.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠IHE
≠
(i)
∠EFI
(ii)
∠HIG
(iii)
∠GHI
(iv)
∠IFG
Question
49
49.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QNO
≠
(i)
∠PQO
(ii)
∠OPQ
(iii)
∠MNQ
(iv)
∠QPM
Question
50
50.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠HIL
≠
(i)
∠JKL
(ii)
∠LKH
(iii)
∠KLJ
(iv)
∠LIJ
Question
51
51.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠KLM
≠
(i)
∠MLI
(ii)
∠LMK
(iii)
∠IJM
(iv)
∠MJK
Question
52
52.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
KL
=
(i)
JL
(ii)
HL
(iii)
KH
(iv)
IL
Question
53
53.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
FI
=
(i)
HE
(ii)
EI
(iii)
HI
(iv)
GI
Question
54
54.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
IM
=
(i)
KM
(ii)
LM
(iii)
LI
(iv)
JM
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
OPQR
,
OQ
and
PR
are diagonals.
Then
OP
∥
(i)
OQ
(ii)
PQ
(iii)
QR
(iv)
RO
(v)
PR
Question
57
57.
In trapezium
DEFG
,
DF
and
EG
are diagonals.
Then
FG
∥
(i)
EG
(ii)
DE
(iii)
GD
(iv)
DF
(v)
EF
Question
58
58.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
MN
=
(i)
PM
(ii)
MO
(iii)
NO
(iv)
OP
(v)
NP
Question
59
59.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
FC
=
(i)
DF
(ii)
CE
(iii)
EF
(iv)
DE
(v)
CD
Question
60
60.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
LM
=
(i)
KL
(ii)
MN
(iii)
NK
(iv)
LN
(v)
KM
Question
61
61.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
GH
=
(i)
FH
(ii)
FG
(iii)
EF
(iv)
EG
(v)
HE
Question
62
62.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠MNO
=
(i)
∠MPN
(ii)
∠MQP
(iii)
∠OPM
(iv)
∠OPN
(v)
∠MQN
Question
63
63.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠LMJ
=
(i)
∠JKL
(ii)
∠JNK
(iii)
∠JMK
(iv)
∠JNM
(v)
∠LMK
Question
64
64.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠LPO
=
(i)
∠LOM
(ii)
∠NOL
(iii)
∠LMN
(iv)
∠LPM
(v)
∠NOM
Question
65
65.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠HLI
=
(i)
∠HKI
(ii)
∠HIJ
(iii)
∠JKI
(iv)
∠JKH
(v)
∠HLK
Question
66
66.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△CDA
≅
(i)
△ECB
(ii)
△CBA
(iii)
△DBA
(iv)
△DBC
(v)
△EDA
Question
67
67.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△DCB
≅
(i)
△ECB
(ii)
△FEB
(iii)
△DEB
(iv)
△ECD
(v)
△FDC
Question
68
68.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△POL
≅
(i)
△OMN
(ii)
△PML
(iii)
△PNO
(iv)
△OML
(v)
△PNM
Question
69
69.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△IFE
≅
(i)
△HFE
(ii)
△HFG
(iii)
△IHE
(iv)
△IGF
(v)
△IGH
Question
70
70.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MKL
≅
(i)
△MKJ
(ii)
△LJK
(iii)
△MLI
(iv)
△MJI
(v)
△LJI
Question
71
71.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△IGF
≅
(i)
△HFG
(ii)
△IHE
(iii)
△IGH
(iv)
△IFE
(v)
△HFE
Question
72
72.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠ROS
=
(i)
∠RSQ
(ii)
∠POS
(iii)
∠SQP
(iv)
∠SQR
(v)
∠OSR
Question
73
73.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠HGK
=
(i)
∠JKI
(ii)
∠GKJ
(iii)
∠KIJ
(iv)
∠JGK
(v)
∠KIH
Question
74
74.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠KIJ
=
(i)
∠JKI
(ii)
∠JGK
(iii)
∠GKJ
(iv)
∠KIH
(v)
∠HGK
Question
75
75.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠GED
=
(i)
∠DCG
(ii)
∠GEF
(iii)
∠FGE
(iv)
∠CGF
(v)
∠FCG
Question
76
76.
Which of the following figures is a regular quadrilateral?
(i)
rectangle
(ii)
trapezium
(iii)
rhombus
(iv)
square
(v)
parallelogram
Question
77
77.
In the given figure, ABCD is a parallelogram.
If
AS
and
BS
are bisector of
∠A
&
∠B
, find
∠S
(i)
91°
(ii)
89°
(iii)
90°
(iv)
88°
(v)
92°
Question
78
78.
CDEF is a rhombus. Q, R, S and T are mid-points of sides CD, DE, EF and FC. Find ∠RST
(i)
89°
(ii)
90°
(iii)
91°
(iv)
88°
(v)
92°
Assignment Key
1) (v)
2) (i)
3) (ii)
4) (v)
5) (i)
6) (ii)
7) (v)
8) (ii)
9) (ii)
10) (iii)
11) (i)
12) (i)
13) (i)
14) (i)
15) (ii)
16) (ii)
17) (iv)
18) (i)
19) (v)
20) (i)
21) (iii)
22) (iv)
23) (iii)
24) (iv)
25) (iii)
26) (i)
27) (iv)
28) (ii)
29) (i)
30) (iv)
31) (iv)
32) (iv)
33) (ii)
34) (iii)
35) (iii)
36) (iv)
37) (iv)
38) (iii)
39) (iii)
40) (ii)
41) (i)
42) (iv)
43) (ii)
44) (iv)
45) (ii)
46) (iii)
47) (iii)
48) (ii)
49) (i)
50) (iii)
51) (ii)
52) (iv)
53) (iii)
54) (i)
55) (iv)
56) (iii)
57) (ii)
58) (i)
59) (v)
60) (ii)
61) (ii)
62) (iii)
63) (i)
64) (iv)
65) (v)
66) (ii)
67) (iii)
68) (ii)
69) (iii)
70) (i)
71) (iii)
72) (ii)
73) (iv)
74) (iv)
75) (ii)
76) (iv)
77) (iii)
78) (ii)