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)
OR
=
QR
b)
R
is the mid point of
NP
c)
△RQN
≅
△ROP
d)
OR
=
RN
e)
△OQN
≅
△PQN
(i)
{d,e,c}
(ii)
{e,b}
(iii)
{d,a}
(iv)
{a,b,c}
(v)
{d,a,b}
Question
2
2.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
AB
∥
(i)
DA
(ii)
CD
(iii)
BC
(iv)
BD
(v)
AC
Question
3
3.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QR
∥
(i)
OP
(ii)
OQ
(iii)
PQ
(iv)
RO
(v)
PR
Question
4
4.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
∥
(i)
LN
(ii)
MN
(iii)
LM
(iv)
NO
(v)
MO
Question
5
5.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
∥
(i)
HJ
(ii)
IK
(iii)
HI
(iv)
KH
(v)
JK
Question
6
6.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CD
=
(i)
CE
(ii)
DF
(iii)
FC
(iv)
EF
(v)
DE
Question
7
7.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
NO
=
(i)
LN
(ii)
OL
(iii)
MO
(iv)
LM
(v)
MN
Question
8
8.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
GD
=
(i)
EG
(ii)
DE
(iii)
DF
(iv)
FG
(v)
EF
Question
9
9.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GH
=
(i)
IF
(ii)
FH
(iii)
HI
(iv)
GI
(v)
FG
Question
10
10.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
△FCD
≅
(i)
△CDE
(ii)
△EFG
(iii)
△DEF
(iv)
△EFC
(v)
△CDG
Question
11
11.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△FGH
≅
(i)
△EFG
(ii)
△HEF
(iii)
△GHI
(iv)
△GHE
(v)
△EFI
Question
12
12.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△QRO
≅
(i)
△QRS
(ii)
△PQR
(iii)
△OPQ
(iv)
△ROP
(v)
△OPS
Question
13
13.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△MNO
≅
(i)
△NOP
(ii)
△PMN
(iii)
△OPQ
(iv)
△MNQ
(v)
△OPM
Question
14
14.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
∠EBC
=
(i)
∠BCF
(ii)
∠DEB
(iii)
∠BCD
(iv)
∠CDE
(v)
∠DEF
Question
15
15.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
∠DEF
=
(i)
∠EFC
(ii)
∠CDE
(iii)
∠EFG
(iv)
∠FCD
(v)
∠CDG
Question
16
16.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
∠NOP
=
(i)
∠PQN
(ii)
∠QNO
(iii)
∠PQR
(iv)
∠NOR
(v)
∠OPQ
Question
17
17.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
∠DEB
=
(i)
∠CDE
(ii)
∠BCF
(iii)
∠DEF
(iv)
∠BCD
(v)
∠EBC
Question
18
18.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JL
=
(i)
HL
(ii)
KH
(iii)
IL
(iv)
KL
(v)
IJ
Question
19
19.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CG
=
(i)
EG
(ii)
DE
(iii)
DG
(iv)
FG
(v)
FC
Question
20
20.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
MN
=
(i)
LN
(ii)
MJ
(iii)
KL
(iv)
KN
(v)
JN
Question
21
21.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IL
=
(i)
KH
(ii)
KL
(iii)
IJ
(iv)
HL
(v)
JL
Question
22
22.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
MN
∥
(i)
NP
(ii)
PM
(iii)
OP
(iv)
NO
Question
23
23.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
NO
∥
(i)
MO
(ii)
MN
(iii)
OL
(iv)
LM
Question
24
24.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
QN
∥
(i)
OP
(ii)
OQ
(iii)
NO
(iv)
PQ
Question
25
25.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
IJ
∥
(i)
KH
(ii)
IK
(iii)
JK
(iv)
HI
Question
26
26.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
OP
≠
(i)
RO
(ii)
PR
(iii)
QR
(iv)
PQ
Question
27
27.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
KL
≠
(i)
JK
(ii)
JL
(iii)
IJ
(iv)
LI
Question
28
28.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
FC
≠
(i)
CD
(ii)
EF
(iii)
DF
(iv)
DE
Question
29
29.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
IJ
≠
(i)
HI
(ii)
JK
(iii)
KH
(iv)
IK
Question
30
30.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△ROP
≅
(i)
△QRO
(ii)
△SOP
(iii)
△PQR
(iv)
△OPQ
Question
31
31.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△EFG
≅
(i)
△GDE
(ii)
△DEF
(iii)
△FGD
(iv)
△HDE
Question
32
32.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△NOL
≅
(i)
△OLM
(ii)
△LMN
(iii)
△MNO
(iv)
△PLM
Question
33
33.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△FGH
≅
(i)
△GHI
(ii)
△JFG
(iii)
△IFG
(iv)
△HIF
Question
34
34.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NJK
≇
(i)
△NJM
(ii)
△NLK
(iii)
△MJK
(iv)
△NLM
Question
35
35.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△RPO
≇
(i)
△RNO
(ii)
△RNQ
(iii)
△QNO
(iv)
△RPQ
Question
36
36.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△RPQ
≇
(i)
△RNO
(ii)
△RPO
(iii)
△QNO
(iv)
△RNQ
Question
37
37.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△KGJ
≇
(i)
△JGH
(ii)
△KGH
(iii)
△KIJ
(iv)
△KIH
Question
38
38.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠GDE
=
(i)
∠EFG
(ii)
∠FGD
(iii)
∠DEF
(iv)
∠DEH
Question
39
39.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠PQR
=
(i)
∠OPQ
(ii)
∠QRO
(iii)
∠ROP
(iv)
∠OPS
Question
40
40.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠KLM
=
(i)
∠LMN
(ii)
∠NKL
(iii)
∠KLO
(iv)
∠MNK
Question
41
41.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠KLI
=
(i)
∠LIJ
(ii)
∠IJM
(iii)
∠IJK
(iv)
∠JKL
Question
42
42.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠KNJ
≠
(i)
∠LNK
(ii)
∠JNM
(iii)
∠MJK
(iv)
∠MNL
Question
43
43.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠JKI
≠
(i)
∠HKG
(ii)
∠IKH
(iii)
∠JGH
(iv)
∠GKJ
Question
44
44.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠BFE
≠
(i)
∠CFB
(ii)
∠DFC
(iii)
∠EFD
(iv)
∠EBC
Question
45
45.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NPM
≠
(i)
∠OLM
(ii)
∠MPL
(iii)
∠OPN
(iv)
∠LPO
Question
46
46.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PLM
≠
(i)
∠PNO
(ii)
∠OLP
(iii)
∠LPO
(iv)
∠MNP
Question
47
47.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PNO
≠
(i)
∠MNP
(ii)
∠LPO
(iii)
∠OLP
(iv)
∠PLM
Question
48
48.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠HEI
≠
(i)
∠IGH
(ii)
∠FGI
(iii)
∠EIH
(iv)
∠IEF
Question
49
49.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠EFH
≠
(i)
∠GDH
(ii)
∠DHG
(iii)
∠HFG
(iv)
∠HDE
Question
50
50.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EDA
≠
(i)
∠ABE
(ii)
∠EBC
(iii)
∠DEC
(iv)
∠CDE
Question
51
51.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠MJK
≠
(i)
∠LMK
(ii)
∠KLM
(iii)
∠MLI
(iv)
∠IJM
Question
52
52.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠KLO
≠
(i)
∠MNO
(ii)
∠ONK
(iii)
∠OLM
(iv)
∠NOM
Question
53
53.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠PQR
≠
(i)
∠NOR
(ii)
∠ROP
(iii)
∠QRP
(iv)
∠RQN
Question
54
54.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
HI
=
(i)
FI
(ii)
HE
(iii)
EI
(iv)
GI
Question
55
55.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
IL
=
(i)
KL
(ii)
HL
(iii)
JL
(iv)
KH
Question
56
56.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
LP
=
(i)
MP
(ii)
NP
(iii)
OL
(iv)
OP
Question
57
57.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
KM
=
(i)
JM
(ii)
LI
(iii)
IM
(iv)
LM
Question
58
58.
In trapezium
JKLM
,
JL
and
KM
are diagonals.
Then
JK
∥
(i)
JL
(ii)
KL
(iii)
MJ
(iv)
KM
(v)
LM
Question
59
59.
In trapezium
DEFG
,
DF
and
EG
are diagonals.
Then
FG
∥
(i)
DF
(ii)
DE
(iii)
EG
(iv)
EF
(v)
GD
Question
60
60.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
KL
=
(i)
MN
(ii)
NK
(iii)
KM
(iv)
LM
(v)
LN
Question
61
61.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
NK
=
(i)
MN
(ii)
KL
(iii)
LM
(iv)
KM
(v)
LN
Question
62
62.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
CD
=
(i)
BC
(ii)
EB
(iii)
CE
(iv)
DE
(v)
BD
Question
63
63.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
PQ
=
(i)
NP
(ii)
OQ
(iii)
QN
(iv)
OP
(v)
NO
Question
64
64.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CDE
=
(i)
∠CGD
(ii)
∠CFD
(iii)
∠EFD
(iv)
∠EFC
(v)
∠CGF
Question
65
65.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠MNK
=
(i)
∠KON
(ii)
∠MNL
(iii)
∠KOL
(iv)
∠KLM
(v)
∠KNL
Question
66
66.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠GKJ
=
(i)
∠GKH
(ii)
∠GHI
(iii)
∠GJH
(iv)
∠IJG
(v)
∠IJH
Question
67
67.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠MQN
=
(i)
∠MPN
(ii)
∠OPM
(iii)
∠OPN
(iv)
∠MQP
(v)
∠MNO
Question
68
68.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△FGD
≅
(i)
△FED
(ii)
△HFE
(iii)
△HGD
(iv)
△GED
(v)
△GEF
Question
69
69.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△GFE
≅
(i)
△IGF
(ii)
△GHE
(iii)
△HFE
(iv)
△HFG
(v)
△IHE
Question
70
70.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QPM
≅
(i)
△QOP
(ii)
△QON
(iii)
△PNM
(iv)
△QNM
(v)
△PNO
Question
71
71.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△IFE
≅
(i)
△HFG
(ii)
△IHE
(iii)
△IGF
(iv)
△IGH
(v)
△HFE
Question
72
72.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△PNO
≅
(i)
△POL
(ii)
△PML
(iii)
△OMN
(iv)
△PNM
(v)
△OML
Question
73
73.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QON
≅
(i)
△QOP
(ii)
△PNO
(iii)
△QNM
(iv)
△QPM
(v)
△PNM
Question
74
74.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠LIM
=
(i)
∠LMK
(ii)
∠MKJ
(iii)
∠JIM
(iv)
∠IML
(v)
∠MKL
Question
75
75.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠JIM
=
(i)
∠LMK
(ii)
∠IML
(iii)
∠MKJ
(iv)
∠LIM
(v)
∠MKL
Question
76
76.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠JHI
=
(i)
∠IJH
(ii)
∠FJI
(iii)
∠JHG
(iv)
∠GFJ
(v)
∠IFJ
Question
77
77.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠JHG
=
(i)
∠IFJ
(ii)
∠JHI
(iii)
∠GFJ
(iv)
∠FJI
(v)
∠IJH
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (ii)
5) (iv)
6) (iv)
7) (iv)
8) (v)
9) (i)
10) (iii)
11) (ii)
12) (iii)
13) (v)
14) (iv)
15) (iv)
16) (i)
17) (iv)
18) (i)
19) (i)
20) (iv)
21) (ii)
22) (iii)
23) (iv)
24) (i)
25) (i)
26) (ii)
27) (ii)
28) (iii)
29) (iv)
30) (iii)
31) (i)
32) (ii)
33) (iv)
34) (iii)
35) (iii)
36) (iii)
37) (i)
38) (i)
39) (iii)
40) (iv)
41) (iii)
42) (iii)
43) (iii)
44) (iv)
45) (i)
46) (iii)
47) (ii)
48) (iii)
49) (ii)
50) (iii)
51) (i)
52) (iv)
53) (iii)
54) (i)
55) (i)
56) (ii)
57) (iii)
58) (v)
59) (ii)
60) (ii)
61) (ii)
62) (iv)
63) (iv)
64) (iv)
65) (iv)
66) (i)
67) (iv)
68) (i)
69) (ii)
70) (iv)
71) (ii)
72) (iv)
73) (i)
74) (iii)
75) (iv)
76) (iii)
77) (ii)