EduSahara™ Assignment
Name : Quadrilateral Properties Using Diagrams
Chapter : Quadrilaterals
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
In the given parallelogram, which of the following statements are true?
a)
EH
=
HF
b)
∠EFG
=
∠GDE
c)
△HGD
≅
△HEF
d)
H
is the mid point of
EG
e)
EH
=
HD
(i)
{a,b,c}
(ii)
{a,b}
(iii)
{a,e,d}
(iv)
{b,c,d}
(v)
{e,c}
Question
2
2.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
JK
∥
(i)
KM
(ii)
LM
(iii)
JL
(iv)
MJ
(v)
KL
Question
3
3.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
NO
∥
(i)
MN
(ii)
LN
(iii)
LM
(iv)
MO
(v)
OL
Question
4
4.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
MJ
∥
(i)
LM
(ii)
KL
(iii)
JK
(iv)
KM
(v)
JL
Question
5
5.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
KL
∥
(i)
KM
(ii)
JK
(iii)
LM
(iv)
MJ
(v)
JL
Question
6
6.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
GH
=
(i)
JG
(ii)
HJ
(iii)
HI
(iv)
IJ
(v)
GI
Question
7
7.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
PQ
=
(i)
NO
(ii)
QN
(iii)
OP
(iv)
OQ
(v)
NP
Question
8
8.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
=
(i)
NO
(ii)
LM
(iii)
MN
(iv)
MO
(v)
LN
Question
9
9.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
CD
=
(i)
BD
(ii)
BC
(iii)
EB
(iv)
CE
(v)
DE
Question
10
10.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△GDE
≅
(i)
△DEH
(ii)
△FGH
(iii)
△EFG
(iv)
△FGD
(v)
△DEF
Question
11
11.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
△IJK
≅
(i)
△KHI
(ii)
△JKH
(iii)
△HIL
(iv)
△JKL
(v)
△HIJ
Question
12
12.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△NOL
≅
(i)
△LMN
(ii)
△OLM
(iii)
△MNO
(iv)
△LMP
(v)
△NOP
Question
13
13.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△NOP
≅
(i)
△PQN
(ii)
△QNO
(iii)
△NOR
(iv)
△OPQ
(v)
△PQR
Question
14
14.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠LIJ
=
(i)
∠IJM
(ii)
∠KLM
(iii)
∠KLI
(iv)
∠JKL
(v)
∠IJK
Question
15
15.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠JKL
=
(i)
∠LIJ
(ii)
∠IJM
(iii)
∠IJK
(iv)
∠KLM
(v)
∠KLI
Question
16
16.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
∠CDE
=
(i)
∠DEF
(ii)
∠EFC
(iii)
∠FCD
(iv)
∠EFG
(v)
∠CDG
Question
17
17.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠HIF
=
(i)
∠FGJ
(ii)
∠GHI
(iii)
∠IFG
(iv)
∠FGH
(v)
∠HIJ
Question
18
18.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
PR
=
(i)
NR
(ii)
QR
(iii)
OR
(iv)
OP
(v)
QN
Question
19
19.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CG
=
(i)
FG
(ii)
FC
(iii)
EG
(iv)
DG
(v)
DE
Question
20
20.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
DE
=
(i)
CE
(ii)
DA
(iii)
BC
(iv)
AE
(v)
BE
Question
21
21.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
OR
=
(i)
OP
(ii)
PR
(iii)
NR
(iv)
QN
(v)
QR
Question
22
22.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
CD
∥
(i)
EF
(ii)
DF
(iii)
FC
(iv)
DE
Question
23
23.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
IJ
∥
(i)
JG
(ii)
HI
(iii)
GH
(iv)
HJ
Question
24
24.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
LI
∥
(i)
JK
(ii)
KL
(iii)
IJ
(iv)
JL
Question
25
25.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
GH
∥
(i)
FG
(ii)
GI
(iii)
HI
(iv)
IF
Question
26
26.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
AB
≠
(i)
BC
(ii)
BD
(iii)
DA
(iv)
CD
Question
27
27.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
LM
≠
(i)
JK
(ii)
MJ
(iii)
KM
(iv)
KL
Question
28
28.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
HE
≠
(i)
FG
(ii)
EF
(iii)
FH
(iv)
GH
Question
29
29.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
BC
≠
(i)
BD
(ii)
CD
(iii)
DA
(iv)
AB
Question
30
30.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△MJK
≅
(i)
△KLM
(ii)
△JKL
(iii)
△NJK
(iv)
△LMJ
Question
31
31.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△HIJ
≅
(i)
△KGH
(ii)
△GHI
(iii)
△JGH
(iv)
△IJG
Question
32
32.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△NOL
≅
(i)
△LMN
(ii)
△OLM
(iii)
△PLM
(iv)
△MNO
Question
33
33.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△MNO
≅
(i)
△PMN
(ii)
△QMN
(iii)
△NOP
(iv)
△OPM
Question
34
34.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TPQ
≇
(i)
△TRS
(ii)
△TPS
(iii)
△TRQ
(iv)
△SPQ
Question
35
35.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△LJI
≇
(i)
△LJK
(ii)
△LHK
(iii)
△LHI
(iv)
△KHI
Question
36
36.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△HFG
≇
(i)
△HFE
(ii)
△HDG
(iii)
△GDE
(iv)
△HDE
Question
37
37.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JFI
≇
(i)
△JHG
(ii)
△JHI
(iii)
△IFG
(iv)
△JFG
Question
38
38.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠NKL
=
(i)
∠MNK
(ii)
∠KLM
(iii)
∠KLO
(iv)
∠LMN
Question
39
39.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠MNO
=
(i)
∠OLM
(ii)
∠LMN
(iii)
∠LMP
(iv)
∠NOL
Question
40
40.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠KLM
=
(i)
∠NKL
(ii)
∠LMN
(iii)
∠KLO
(iv)
∠MNK
Question
41
41.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠LMJ
=
(i)
∠MJK
(ii)
∠KLM
(iii)
∠JKL
(iv)
∠JKN
Question
42
42.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠CFB
≠
(i)
∠DFC
(ii)
∠EFD
(iii)
∠EBC
(iv)
∠BFE
Question
43
43.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠IJH
≠
(i)
∠GJF
(ii)
∠HJG
(iii)
∠FJI
(iv)
∠IFG
Question
44
44.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠LPO
≠
(i)
∠NPM
(ii)
∠OPN
(iii)
∠MPL
(iv)
∠OLM
Question
45
45.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠FHE
≠
(i)
∠GHF
(ii)
∠GDE
(iii)
∠EHD
(iv)
∠DHG
Question
46
46.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠MIJ
≠
(i)
∠LIM
(ii)
∠IML
(iii)
∠MKL
(iv)
∠JKM
Question
47
47.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠ECD
≠
(i)
∠BCE
(ii)
∠DAE
(iii)
∠AED
(iv)
∠EAB
Question
48
48.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠DAE
≠
(i)
∠EAB
(ii)
∠BCE
(iii)
∠AED
(iv)
∠ECD
Question
49
49.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠IJL
≠
(i)
∠HLK
(ii)
∠LJK
(iii)
∠LHI
(iv)
∠KHL
Question
50
50.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠POL
≠
(i)
∠OPN
(ii)
∠LMP
(iii)
∠NOP
(iv)
∠PMN
Question
51
51.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠NKL
≠
(i)
∠JKN
(ii)
∠NMJ
(iii)
∠MNL
(iv)
∠LMN
Question
52
52.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠BCF
≠
(i)
∠DEF
(ii)
∠EFD
(iii)
∠FCD
(iv)
∠FEB
Question
53
53.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NOP
≠
(i)
∠POL
(ii)
∠PMN
(iii)
∠OPN
(iv)
∠LMP
Question
54
54.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OP
=
(i)
MP
(ii)
OL
(iii)
NP
(iv)
LP
Question
55
55.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
MP
=
(i)
OL
(ii)
LP
(iii)
OP
(iv)
NP
Question
56
56.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
MQ
=
(i)
PM
(ii)
PQ
(iii)
OQ
(iv)
NQ
Question
57
57.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
EG
=
(i)
CG
(ii)
FC
(iii)
FG
(iv)
DG
Question
58
58.
In trapezium
PQRS
,
PR
and
QS
are diagonals.
Then
PQ
∥
(i)
RS
(ii)
SP
(iii)
QS
(iv)
PR
(v)
QR
Question
59
59.
In trapezium
OPQR
,
OQ
and
PR
are diagonals.
Then
QR
∥
(i)
OQ
(ii)
PQ
(iii)
OP
(iv)
RO
(v)
PR
Question
60
60.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
JK
=
(i)
JL
(ii)
KM
(iii)
LM
(iv)
MJ
(v)
KL
Question
61
61.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
PM
=
(i)
NP
(ii)
MO
(iii)
MN
(iv)
NO
(v)
OP
Question
62
62.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
OP
=
(i)
QN
(ii)
NP
(iii)
NO
(iv)
PQ
(v)
OQ
Question
63
63.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
OP
=
(i)
MO
(ii)
NO
(iii)
NP
(iv)
MN
(v)
PM
Question
64
64.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠PQR
=
(i)
∠PTS
(ii)
∠PSQ
(iii)
∠RSP
(iv)
∠RSQ
(v)
∠PTQ
Question
65
65.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠HIF
=
(i)
∠FJI
(ii)
∠FJG
(iii)
∠FIG
(iv)
∠HIG
(v)
∠FGH
Question
66
66.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠AED
=
(i)
∠ADB
(ii)
∠AEB
(iii)
∠CDB
(iv)
∠ABC
(v)
∠CDA
Question
67
67.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠DHE
=
(i)
∠DHG
(ii)
∠DGE
(iii)
∠FGD
(iv)
∠DEF
(v)
∠FGE
Question
68
68.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△RSP
≅
(i)
△TRQ
(ii)
△SQR
(iii)
△SQP
(iv)
△RQP
(v)
△TSP
Question
69
69.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△HGF
≅
(i)
△JIF
(ii)
△IGH
(iii)
△IGF
(iv)
△HIF
(v)
△JHG
Question
70
70.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△EDA
≅
(i)
△ECD
(ii)
△ECB
(iii)
△DBA
(iv)
△EBA
(v)
△DBC
Question
71
71.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RON
≅
(i)
△RPO
(ii)
△RQN
(iii)
△RPQ
(iv)
△QON
(v)
△QOP
Question
72
72.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MKL
≅
(i)
△MJI
(ii)
△LJI
(iii)
△MKJ
(iv)
△MLI
(v)
△LJK
Question
73
73.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GED
≅
(i)
△GDC
(ii)
△FDC
(iii)
△GEF
(iv)
△GFC
(v)
△FDE
Question
74
74.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠EBF
=
(i)
∠CBF
(ii)
∠EFD
(iii)
∠FDC
(iv)
∠FDE
(v)
∠BFE
Question
75
75.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠EDH
=
(i)
∠HFG
(ii)
∠HFE
(iii)
∠DHG
(iv)
∠GDH
(v)
∠GHF
Question
76
76.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠HFG
=
(i)
∠DHG
(ii)
∠HFE
(iii)
∠GHF
(iv)
∠EDH
(v)
∠GDH
Question
77
77.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠TRQ
=
(i)
∠QPT
(ii)
∠STR
(iii)
∠PTS
(iv)
∠SPT
(v)
∠TRS
Assignment Key
1) (iv)
2) (ii)
3) (iii)
4) (ii)
5) (iv)
6) (iv)
7) (i)
8) (iii)
9) (iii)
10) (iii)
11) (i)
12) (i)
13) (i)
14) (iv)
15) (i)
16) (ii)
17) (iv)
18) (i)
19) (iii)
20) (v)
21) (v)
22) (i)
23) (iii)
24) (i)
25) (iv)
26) (ii)
27) (iii)
28) (iii)
29) (i)
30) (i)
31) (iii)
32) (i)
33) (iv)
34) (iv)
35) (iv)
36) (iii)
37) (iii)
38) (iv)
39) (i)
40) (iv)
41) (iii)
42) (iii)
43) (iv)
44) (iv)
45) (ii)
46) (ii)
47) (iii)
48) (iii)
49) (i)
50) (i)
51) (iii)
52) (ii)
53) (iii)
54) (i)
55) (iii)
56) (iii)
57) (i)
58) (i)
59) (iii)
60) (iv)
61) (iii)
62) (iv)
63) (ii)
64) (iii)
65) (v)
66) (ii)
67) (i)
68) (iv)
69) (iv)
70) (iv)
71) (ii)
72) (iii)
73) (iii)
74) (i)
75) (iv)
76) (ii)
77) (v)