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)
rectangle
(iii)
square
(iv)
rhombus
(v)
parallelogram
Question
2
2.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
JK
∥
(i)
JL
(ii)
KL
(iii)
MJ
(iv)
LM
(v)
KM
Question
3
3.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HI
∥
(i)
FG
(ii)
IF
(iii)
GH
(iv)
FH
(v)
GI
Question
4
4.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
∥
(i)
NO
(ii)
MO
(iii)
LM
(iv)
LN
(v)
MN
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
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
=
(i)
HE
(ii)
FG
(iii)
EG
(iv)
FH
(v)
GH
Question
7
7.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
FG
=
(i)
EG
(ii)
DF
(iii)
GD
(iv)
EF
(v)
DE
Question
8
8.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
RO
=
(i)
OQ
(ii)
QR
(iii)
PR
(iv)
OP
(v)
PQ
Question
9
9.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BC
=
(i)
AB
(ii)
DA
(iii)
BD
(iv)
CD
(v)
AC
Question
10
10.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△JGH
≅
(i)
△IJG
(ii)
△GHI
(iii)
△GHK
(iv)
△HIJ
(v)
△IJK
Question
11
11.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△OPQ
≅
(i)
△QNO
(ii)
△NOR
(iii)
△PQN
(iv)
△NOP
(v)
△PQR
Question
12
12.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△NOL
≅
(i)
△LMN
(ii)
△NOP
(iii)
△MNO
(iv)
△LMP
(v)
△OLM
Question
13
13.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△IJK
≅
(i)
△KLI
(ii)
△JKL
(iii)
△IJM
(iv)
△KLM
(v)
△LIJ
Question
14
14.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠PMN
=
(i)
∠OPQ
(ii)
∠MNQ
(iii)
∠NOP
(iv)
∠MNO
(v)
∠OPM
Question
15
15.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠KLM
=
(i)
∠LMJ
(ii)
∠JKL
(iii)
∠MJK
(iv)
∠JKN
(v)
∠LMN
Question
16
16.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠HIJ
=
(i)
∠HIL
(ii)
∠JKL
(iii)
∠IJK
(iv)
∠KHI
(v)
∠JKH
Question
17
17.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠QRO
=
(i)
∠QRS
(ii)
∠PQR
(iii)
∠OPQ
(iv)
∠ROP
(v)
∠OPS
Question
18
18.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OQ
=
(i)
PM
(ii)
NQ
(iii)
PQ
(iv)
MQ
(v)
NO
Question
19
19.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
HL
=
(i)
IJ
(ii)
JL
(iii)
IL
(iv)
KH
(v)
KL
Question
20
20.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
HK
=
(i)
JK
(ii)
GK
(iii)
HI
(iv)
IK
(v)
JG
Question
21
21.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GH
∥
(i)
JG
(ii)
HI
(iii)
HJ
(iv)
IJ
Question
22
22.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DE
∥
(i)
CE
(ii)
BC
(iii)
CD
(iv)
EB
Question
23
23.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
MJ
∥
(i)
KL
(ii)
KM
(iii)
JK
(iv)
LM
Question
24
24.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
DE
∥
(i)
CD
(ii)
EF
(iii)
DF
(iv)
FC
Question
25
25.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
JK
≠
(i)
MJ
(ii)
LM
(iii)
KM
(iv)
KL
Question
26
26.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
FG
≠
(i)
GD
(ii)
DE
(iii)
EF
(iv)
EG
Question
27
27.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
LI
≠
(i)
IJ
(ii)
JL
(iii)
JK
(iv)
KL
Question
28
28.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
HI
≠
(i)
HJ
(ii)
GH
(iii)
JG
(iv)
IJ
Question
29
29.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△IFG
≅
(i)
△FGH
(ii)
△GHI
(iii)
△JFG
(iv)
△HIF
Question
30
30.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△GHI
≅
(i)
△HIF
(ii)
△IFG
(iii)
△JFG
(iv)
△FGH
Question
31
31.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△GHE
≅
(i)
△IEF
(ii)
△EFG
(iii)
△FGH
(iv)
△HEF
Question
32
32.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△IJK
≅
(i)
△MIJ
(ii)
△JKL
(iii)
△LIJ
(iv)
△KLI
Question
33
33.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△FBC
≇
(i)
△FDC
(ii)
△FDE
(iii)
△EBC
(iv)
△FBE
Question
34
34.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRQ
≇
(i)
△TPS
(ii)
△TRS
(iii)
△TPQ
(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
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△EAD
≇
(i)
△ECD
(ii)
△EAB
(iii)
△DAB
(iv)
△ECB
Question
37
37.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠JGH
=
(i)
∠GHK
(ii)
∠GHI
(iii)
∠HIJ
(iv)
∠IJG
Question
38
38.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠NOP
=
(i)
∠PMN
(ii)
∠MNO
(iii)
∠OPM
(iv)
∠MNQ
Question
39
39.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠PQN
=
(i)
∠OPQ
(ii)
∠NOR
(iii)
∠QNO
(iv)
∠NOP
Question
40
40.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠BEA
≠
(i)
∠AED
(ii)
∠DEC
(iii)
∠DAB
(iv)
∠CEB
Question
41
41.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠PQO
≠
(i)
∠MQP
(ii)
∠PMN
(iii)
∠NQM
(iv)
∠OQN
Question
42
42.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠MQP
≠
(i)
∠PQO
(ii)
∠OQN
(iii)
∠NQM
(iv)
∠PMN
Question
43
43.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠HJG
≠
(i)
∠GJF
(ii)
∠IJH
(iii)
∠IFG
(iv)
∠FJI
Question
44
44.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠OKL
≠
(i)
∠KON
(ii)
∠NKO
(iii)
∠OMN
(iv)
∠LMO
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
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠EBF
≠
(i)
∠FDE
(ii)
∠BFE
(iii)
∠FBC
(iv)
∠CDF
Question
47
47.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠NOQ
≠
(i)
∠MQP
(ii)
∠QOP
(iii)
∠PMQ
(iv)
∠QMN
Question
48
48.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠JIF
≠
(i)
∠HIJ
(ii)
∠IJH
(iii)
∠JGH
(iv)
∠FGJ
Question
49
49.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EBC
≠
(i)
∠DEC
(ii)
∠CDE
(iii)
∠ABE
(iv)
∠EDA
Question
50
50.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠DEH
≠
(i)
∠HGD
(ii)
∠FGH
(iii)
∠HEF
(iv)
∠GHF
Question
51
51.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠FGH
≠
(i)
∠HEF
(ii)
∠DEH
(iii)
∠GHF
(iv)
∠HGD
Question
52
52.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
NO
=
(i)
MO
(ii)
KO
(iii)
LO
(iv)
NK
Question
53
53.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
JM
=
(i)
IM
(ii)
LI
(iii)
KM
(iv)
LM
Question
54
54.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
CG
=
(i)
FG
(ii)
FC
(iii)
DG
(iv)
EG
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
CDEF
,
CE
and
DF
are diagonals.
Then
CD
∥
(i)
EF
(ii)
DF
(iii)
FC
(iv)
DE
(v)
CE
Question
57
57.
In trapezium
BCDE
,
BD
and
CE
are diagonals.
Then
DE
∥
(i)
BC
(ii)
CD
(iii)
EB
(iv)
BD
(v)
CE
Question
58
58.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
MN
=
(i)
OP
(ii)
MO
(iii)
NO
(iv)
NP
(v)
PM
Question
59
59.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
MJ
=
(i)
JK
(ii)
JL
(iii)
KM
(iv)
KL
(v)
LM
Question
60
60.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
HI
=
(i)
GI
(ii)
IJ
(iii)
HJ
(iv)
GH
(v)
JG
Question
61
61.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
GH
=
(i)
FG
(ii)
EG
(iii)
HE
(iv)
FH
(v)
EF
Question
62
62.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠IJK
=
(i)
∠KLJ
(ii)
∠IML
(iii)
∠IMJ
(iv)
∠KLI
(v)
∠ILJ
Question
63
63.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠DEB
=
(i)
∠BEC
(ii)
∠BFC
(iii)
∠DEC
(iv)
∠BCD
(v)
∠BFE
Question
64
64.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠KON
=
(i)
∠MNL
(ii)
∠MNK
(iii)
∠KOL
(iv)
∠KLM
(v)
∠KNL
Question
65
65.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠FJG
=
(i)
∠HIF
(ii)
∠FIG
(iii)
∠FGH
(iv)
∠FJI
(v)
∠HIG
Question
66
66.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△EFC
≅
(i)
△GFC
(ii)
△FDE
(iii)
△GED
(iv)
△FDC
(v)
△EDC
Question
67
67.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△GFE
≅
(i)
△GHE
(ii)
△IGF
(iii)
△HFE
(iv)
△IHE
(v)
△HFG
Question
68
68.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FEB
≅
(i)
△FDE
(ii)
△ECD
(iii)
△ECB
(iv)
△FDC
(v)
△FCB
Question
69
69.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GDC
≅
(i)
△FDE
(ii)
△GED
(iii)
△FDC
(iv)
△GEF
(v)
△GFC
Question
70
70.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SQR
≅
(i)
△RPO
(ii)
△SPO
(iii)
△SRO
(iv)
△RPQ
(v)
△SQP
Question
71
71.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RPO
≅
(i)
△QOP
(ii)
△RQN
(iii)
△RON
(iv)
△RPQ
(v)
△QON
Question
72
72.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠EBF
=
(i)
∠FDE
(ii)
∠EFD
(iii)
∠FDC
(iv)
∠CBF
(v)
∠BFE
Question
73
73.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠NMQ
=
(i)
∠PQO
(ii)
∠MQP
(iii)
∠PMQ
(iv)
∠QOP
(v)
∠QON
Question
74
74.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠HFG
=
(i)
∠GHF
(ii)
∠DHG
(iii)
∠HFE
(iv)
∠EDH
(v)
∠GDH
Question
75
75.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠NLK
=
(i)
∠NLM
(ii)
∠JNM
(iii)
∠KJN
(iv)
∠MNL
(v)
∠MJN
Question
76
76.
In the given parallelogram, which of the following statements are true?
a)
△JLI
≅
△KLI
b)
JM
=
MI
c)
M
is the mid point of
JL
d)
△MIJ
≅
△MKL
e)
IJ
∥
KL
(i)
{a,c,d}
(ii)
{c,d,e}
(iii)
{b,d}
(iv)
{a,c}
(v)
{a,b,e}
Question
77
77.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
DE
=
(i)
AE
(ii)
BE
(iii)
CE
(iv)
DA
(v)
BC
Question
78
78.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠BCD
=
(i)
∠CDE
(ii)
∠DEB
(iii)
∠BCF
(iv)
∠EBC
Assignment Key
1) (iii)
2) (iv)
3) (i)
4) (v)
5) (iii)
6) (v)
7) (v)
8) (v)
9) (ii)
10) (iv)
11) (i)
12) (i)
13) (i)
14) (iii)
15) (iii)
16) (v)
17) (iii)
18) (iv)
19) (ii)
20) (i)
21) (iv)
22) (ii)
23) (i)
24) (iv)
25) (iii)
26) (iv)
27) (ii)
28) (i)
29) (ii)
30) (ii)
31) (ii)
32) (iv)
33) (iii)
34) (iv)
35) (iv)
36) (iii)
37) (iii)
38) (i)
39) (iv)
40) (iii)
41) (ii)
42) (iv)
43) (iii)
44) (i)
45) (ii)
46) (ii)
47) (i)
48) (ii)
49) (i)
50) (iv)
51) (iii)
52) (iii)
53) (iv)
54) (iv)
55) (i)
56) (i)
57) (i)
58) (v)
59) (i)
60) (ii)
61) (i)
62) (iv)
63) (iv)
64) (iii)
65) (iv)
66) (v)
67) (i)
68) (v)
69) (v)
70) (v)
71) (iv)
72) (iv)
73) (iii)
74) (iii)
75) (i)
76) (ii)
77) (ii)
78) (ii)