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)
rectangle
(ii)
rhombus
(iii)
trapezium
(iv)
parallelogram
(v)
square
Question
2
2.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CD
∥
(i)
DE
(ii)
EF
(iii)
CE
(iv)
DF
(v)
FC
Question
3
3.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
EF
∥
(i)
CD
(ii)
DF
(iii)
DE
(iv)
CE
(v)
FC
Question
4
4.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
PM
∥
(i)
NP
(ii)
MO
(iii)
NO
(iv)
MN
(v)
OP
Question
5
5.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
LM
∥
(i)
MN
(ii)
LN
(iii)
NK
(iv)
KM
(v)
KL
Question
6
6.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
NO
=
(i)
OQ
(ii)
NP
(iii)
OP
(iv)
PQ
(v)
QN
Question
7
7.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
KL
=
(i)
JL
(ii)
LI
(iii)
IJ
(iv)
IK
(v)
JK
Question
8
8.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
GD
=
(i)
DF
(ii)
FG
(iii)
DE
(iv)
EF
(v)
EG
Question
9
9.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DE
=
(i)
EF
(ii)
DF
(iii)
CD
(iv)
CE
(v)
FC
Question
10
10.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△MJK
≅
(i)
△KLM
(ii)
△JKN
(iii)
△LMJ
(iv)
△JKL
(v)
△LMN
Question
11
11.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△PQR
≅
(i)
△OPS
(ii)
△OPQ
(iii)
△QRO
(iv)
△ROP
(v)
△QRS
Question
12
12.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△QRO
≅
(i)
△OPS
(ii)
△PQR
(iii)
△QRS
(iv)
△OPQ
(v)
△ROP
Question
13
13.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△MNO
≅
(i)
△PMN
(ii)
△OPM
(iii)
△NOP
(iv)
△MNQ
(v)
△OPQ
Question
14
14.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
∠HEF
=
(i)
∠GHE
(ii)
∠FGH
(iii)
∠EFG
(iv)
∠GHI
(v)
∠EFI
Question
15
15.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠GHI
=
(i)
∠HIJ
(ii)
∠HIF
(iii)
∠FGH
(iv)
∠FGJ
(v)
∠IFG
Question
16
16.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
∠ABC
=
(i)
∠CDE
(ii)
∠CDA
(iii)
∠BCD
(iv)
∠DAB
(v)
∠ABE
Question
17
17.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠KLI
=
(i)
∠LIJ
(ii)
∠KLM
(iii)
∠JKL
(iv)
∠IJK
(v)
∠IJM
Question
18
18.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
EG
=
(i)
DE
(ii)
CG
(iii)
DG
(iv)
FG
(v)
FC
Question
19
19.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EI
=
(i)
HI
(ii)
FI
(iii)
HE
(iv)
FG
(v)
GI
Question
20
20.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
MP
=
(i)
OP
(ii)
LP
(iii)
MN
(iv)
OL
(v)
NP
Question
21
21.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
CD
∥
(i)
DF
(ii)
FC
(iii)
DE
(iv)
EF
Question
22
22.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
MN
∥
(i)
LN
(ii)
NK
(iii)
LM
(iv)
KL
Question
23
23.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
NK
∥
(i)
MN
(ii)
LM
(iii)
KL
(iv)
LN
Question
24
24.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
OP
∥
(i)
OQ
(ii)
PQ
(iii)
NO
(iv)
QN
Question
25
25.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FG
≠
(i)
GH
(ii)
GI
(iii)
IF
(iv)
HI
Question
26
26.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
IJ
≠
(i)
GH
(ii)
HJ
(iii)
HI
(iv)
JG
Question
27
27.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
JG
≠
(i)
HI
(ii)
HJ
(iii)
GH
(iv)
IJ
Question
28
28.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
DE
≠
(i)
FC
(ii)
DF
(iii)
EF
(iv)
CD
Question
29
29.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△OLM
≅
(i)
△PLM
(ii)
△MNO
(iii)
△LMN
(iv)
△NOL
Question
30
30.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△EFG
≅
(i)
△GDE
(ii)
△DEF
(iii)
△HDE
(iv)
△FGD
Question
31
31.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△LMJ
≅
(i)
△MJK
(ii)
△NJK
(iii)
△JKL
(iv)
△KLM
Question
32
32.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△PQR
≅
(i)
△TPQ
(ii)
△RSP
(iii)
△SPQ
(iv)
△QRS
Question
33
33.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SOP
≇
(i)
△ROP
(ii)
△SQR
(iii)
△SQP
(iv)
△SOR
Question
34
34.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JHG
≇
(i)
△JFG
(ii)
△JFI
(iii)
△IFG
(iv)
△JHI
Question
35
35.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△LJK
≇
(i)
△LJI
(ii)
△LHK
(iii)
△LHI
(iv)
△KHI
Question
36
36.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QMP
≇
(i)
△PMN
(ii)
△QON
(iii)
△QMN
(iv)
△QOP
Question
37
37.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠IFG
=
(i)
∠GHI
(ii)
∠FGH
(iii)
∠HIF
(iv)
∠FGJ
Question
38
38.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠HIJ
=
(i)
∠IJG
(ii)
∠JGH
(iii)
∠GHK
(iv)
∠GHI
Question
39
39.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠QRO
=
(i)
∠OPQ
(ii)
∠ROP
(iii)
∠PQR
(iv)
∠OPS
Question
40
40.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠ILH
≠
(i)
∠KHI
(ii)
∠HLK
(iii)
∠KLJ
(iv)
∠JLI
Question
41
41.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MNL
≠
(i)
∠MJK
(ii)
∠LNK
(iii)
∠JNM
(iv)
∠KNJ
Question
42
42.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠MQP
≠
(i)
∠PQO
(ii)
∠NQM
(iii)
∠OQN
(iv)
∠PMN
Question
43
43.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠CEB
≠
(i)
∠DAB
(ii)
∠AED
(iii)
∠DEC
(iv)
∠BEA
Question
44
44.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QMN
≠
(i)
∠NOQ
(ii)
∠QOP
(iii)
∠MQP
(iv)
∠PMQ
Question
45
45.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠LJK
≠
(i)
∠HLK
(ii)
∠LHI
(iii)
∠IJL
(iv)
∠KHL
Question
46
46.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠JGK
≠
(i)
∠HIK
(ii)
∠KGH
(iii)
∠KIJ
(iv)
∠GKJ
Question
47
47.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠OPR
≠
(i)
∠RNO
(ii)
∠QNR
(iii)
∠NRQ
(iv)
∠RPQ
Question
48
48.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠FEB
≠
(i)
∠DEF
(ii)
∠BCF
(iii)
∠FCD
(iv)
∠EFD
Question
49
49.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠IFG
≠
(i)
∠GHI
(ii)
∠IHE
(iii)
∠EFI
(iv)
∠HIG
Question
50
50.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠NOR
≠
(i)
∠PQR
(ii)
∠RQN
(iii)
∠ROP
(iv)
∠QRP
Question
51
51.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠OPQ
≠
(i)
∠QNO
(ii)
∠MNQ
(iii)
∠PQO
(iv)
∠QPM
Question
52
52.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
QR
=
(i)
QN
(ii)
OR
(iii)
PR
(iv)
NR
Question
53
53.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
FI
=
(i)
EI
(ii)
HE
(iii)
HI
(iv)
GI
Question
54
54.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
CG
=
(i)
FG
(ii)
EG
(iii)
DG
(iv)
FC
Question
55
55.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DF
=
(i)
EF
(ii)
BF
(iii)
EB
(iv)
CF
Question
56
56.
In trapezium
KLMN
,
KM
and
LN
are diagonals.
Then
KL
∥
(i)
LN
(ii)
KM
(iii)
NK
(iv)
LM
(v)
MN
Question
57
57.
In trapezium
KLMN
,
KM
and
LN
are diagonals.
Then
MN
∥
(i)
LM
(ii)
LN
(iii)
NK
(iv)
KL
(v)
KM
Question
58
58.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
GH
=
(i)
HI
(ii)
IJ
(iii)
GI
(iv)
JG
(v)
HJ
Question
59
59.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
IF
=
(i)
FG
(ii)
GI
(iii)
HI
(iv)
FH
(v)
GH
Question
60
60.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
HI
=
(i)
GH
(ii)
HJ
(iii)
JG
(iv)
GI
(v)
IJ
Question
61
61.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
CD
=
(i)
BD
(ii)
BC
(iii)
DA
(iv)
AB
(v)
AC
Question
62
62.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠JKL
=
(i)
∠LMK
(ii)
∠JMK
(iii)
∠JNM
(iv)
∠JNK
(v)
∠LMJ
Question
63
63.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠FGD
=
(i)
∠DEF
(ii)
∠FGE
(iii)
∠DGE
(iv)
∠DHE
(v)
∠DHG
Question
64
64.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OSR
=
(i)
∠ORP
(ii)
∠OPQ
(iii)
∠OSP
(iv)
∠QRP
(v)
∠QRO
Question
65
65.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠MQN
=
(i)
∠MNO
(ii)
∠OPN
(iii)
∠MQP
(iv)
∠MPN
(v)
∠OPM
Question
66
66.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△JKH
≅
(i)
△LJI
(ii)
△JIH
(iii)
△LKH
(iv)
△KIJ
(v)
△KIH
Question
67
67.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△PON
≅
(i)
△PQN
(ii)
△RPO
(iii)
△RQN
(iv)
△QON
(v)
△QOP
Question
68
68.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△POL
≅
(i)
△OMN
(ii)
△PNO
(iii)
△OML
(iv)
△PNM
(v)
△PML
Question
69
69.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△EBA
≅
(i)
△DBA
(ii)
△ECD
(iii)
△ECB
(iv)
△EDA
(v)
△DBC
Question
70
70.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JHI
≅
(i)
△JGF
(ii)
△IGH
(iii)
△IGF
(iv)
△JHG
(v)
△JIF
Question
71
71.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△HFE
≅
(i)
△HGD
(ii)
△GED
(iii)
△HFG
(iv)
△HED
(v)
△GEF
Question
72
72.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠MJN
=
(i)
∠NLM
(ii)
∠JNM
(iii)
∠KJN
(iv)
∠NLK
(v)
∠MNL
Question
73
73.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠EDH
=
(i)
∠HFG
(ii)
∠GHF
(iii)
∠DHG
(iv)
∠HFE
(v)
∠GDH
Question
74
74.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠KIJ
=
(i)
∠JGK
(ii)
∠JKI
(iii)
∠GKJ
(iv)
∠HGK
(v)
∠KIH
Question
75
75.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠MKJ
=
(i)
∠IML
(ii)
∠LIM
(iii)
∠MKL
(iv)
∠LMK
(v)
∠JIM
Question
76
76.
In the given parallelogram, which of the following statements are true?
a)
∠ILH
=
∠KLJ
b)
△IKH
≅
△JKH
c)
IL
=
LH
d)
∠IJK
=
∠KHI
e)
KH
∥
IJ
(i)
{b,a}
(ii)
{b,c,e}
(iii)
{b,a,d}
(iv)
{c,d}
(v)
{a,d,e}
Question
77
77.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
JK
=
(i)
IK
(ii)
HK
(iii)
GK
(iv)
HI
(v)
JG
Question
78
78.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠CDE
=
(i)
∠FCD
(ii)
∠DEF
(iii)
∠EFC
(iv)
∠CDG
Assignment Key
1) (v)
2) (ii)
3) (i)
4) (iii)
5) (iii)
6) (iv)
7) (iii)
8) (iv)
9) (v)
10) (i)
11) (iv)
12) (iv)
13) (ii)
14) (ii)
15) (v)
16) (ii)
17) (iv)
18) (ii)
19) (v)
20) (i)
21) (iv)
22) (iv)
23) (ii)
24) (iv)
25) (ii)
26) (ii)
27) (ii)
28) (ii)
29) (ii)
30) (i)
31) (iii)
32) (ii)
33) (i)
34) (iii)
35) (iv)
36) (i)
37) (i)
38) (ii)
39) (i)
40) (i)
41) (i)
42) (iv)
43) (i)
44) (iii)
45) (i)
46) (iv)
47) (iii)
48) (iv)
49) (iv)
50) (iv)
51) (iii)
52) (ii)
53) (iii)
54) (ii)
55) (ii)
56) (v)
57) (iv)
58) (iv)
59) (i)
60) (v)
61) (ii)
62) (v)
63) (i)
64) (iii)
65) (iii)
66) (ii)
67) (i)
68) (v)
69) (iv)
70) (iv)
71) (iii)
72) (iii)
73) (v)
74) (v)
75) (iii)
76) (v)
77) (ii)
78) (iii)