EduSahara™ Assignment
Name : Quadrilateral Properties Using Diagrams
Chapter : Quadrilaterals
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In the given parallelogram, which of the following statements are true?
a)
∠OPQ
=
∠QNO
b)
OR
=
RN
c)
△OQN
≅
△PQN
d)
∠ORN
=
∠QRP
e)
△RQN
≅
△ROP
(i)
{a,d,e}
(ii)
{b,c,e}
(iii)
{c,d}
(iv)
{b,a}
(v)
{b,a,d}
Question
2
2.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CD
∥
(i)
CE
(ii)
EF
(iii)
FC
(iv)
DE
(v)
DF
Question
3
3.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
GH
∥
(i)
EF
(ii)
FG
(iii)
FH
(iv)
HE
(v)
EG
Question
4
4.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
∥
(i)
MO
(ii)
NO
(iii)
MN
(iv)
LN
(v)
LM
Question
5
5.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GH
∥
(i)
GI
(ii)
FG
(iii)
IF
(iv)
FH
(v)
HI
Question
6
6.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KL
=
(i)
MN
(ii)
KM
(iii)
LM
(iv)
LN
(v)
NK
Question
7
7.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
DE
=
(i)
CD
(ii)
EB
(iii)
CE
(iv)
BC
(v)
BD
Question
8
8.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
HE
=
(i)
EF
(ii)
FH
(iii)
FG
(iv)
EG
(v)
GH
Question
9
9.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
CD
=
(i)
EB
(ii)
DE
(iii)
CE
(iv)
BC
(v)
BD
Question
10
10.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△GDE
≅
(i)
△DEH
(ii)
△DEF
(iii)
△FGD
(iv)
△EFG
(v)
△FGH
Question
11
11.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△OPQ
≅
(i)
△NOR
(ii)
△QNO
(iii)
△PQN
(iv)
△NOP
(v)
△PQR
Question
12
12.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△PQN
≅
(i)
△NOR
(ii)
△OPQ
(iii)
△NOP
(iv)
△PQR
(v)
△QNO
Question
13
13.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△LMN
≅
(i)
△MNO
(ii)
△OLM
(iii)
△NOP
(iv)
△NOL
(v)
△LMP
Question
14
14.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠MJK
=
(i)
∠JKL
(ii)
∠KLM
(iii)
∠LMJ
(iv)
∠JKN
(v)
∠LMN
Question
15
15.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠MNO
=
(i)
∠NOP
(ii)
∠LMP
(iii)
∠OLM
(iv)
∠LMN
(v)
∠NOL
Question
16
16.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
∠EFG
=
(i)
∠FGH
(ii)
∠GHI
(iii)
∠GHE
(iv)
∠HEF
(v)
∠EFI
Question
17
17.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠RSP
=
(i)
∠SPQ
(ii)
∠PQR
(iii)
∠PQT
(iv)
∠QRS
(v)
∠RST
Question
18
18.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
KM
=
(i)
JK
(ii)
IM
(iii)
LI
(iv)
JM
(v)
LM
Question
19
19.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CG
=
(i)
FG
(ii)
DE
(iii)
EG
(iv)
FC
(v)
DG
Question
20
20.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
RS
=
(i)
OS
(ii)
RO
(iii)
PQ
(iv)
QS
(v)
PS
Question
21
21.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IL
=
(i)
KL
(ii)
IJ
(iii)
KH
(iv)
JL
(v)
HL
Question
22
22.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
KL
∥
(i)
LM
(ii)
LN
(iii)
MN
(iv)
NK
Question
23
23.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DE
∥
(i)
CD
(ii)
EB
(iii)
CE
(iv)
BC
Question
24
24.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
SP
∥
(i)
PQ
(ii)
RS
(iii)
QR
(iv)
QS
Question
25
25.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
QR
∥
(i)
QS
(ii)
PQ
(iii)
SP
(iv)
RS
Question
26
26.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
OP
≠
(i)
QR
(ii)
RO
(iii)
PR
(iv)
PQ
Question
27
27.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
RS
≠
(i)
QR
(ii)
PQ
(iii)
SP
(iv)
QS
Question
28
28.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RO
≠
(i)
PQ
(ii)
OP
(iii)
QR
(iv)
PR
Question
29
29.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
OP
≠
(i)
OQ
(ii)
PQ
(iii)
QN
(iv)
NO
Question
30
30.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△GDE
≅
(i)
△FGD
(ii)
△HDE
(iii)
△DEF
(iv)
△EFG
Question
31
31.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△FGH
≅
(i)
△IEF
(ii)
△EFG
(iii)
△GHE
(iv)
△HEF
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)
△IFG
(ii)
△GHI
(iii)
△JFG
(iv)
△HIF
Question
34
34.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△GCD
≇
(i)
△GEF
(ii)
△GCF
(iii)
△GED
(iv)
△FCD
Question
35
35.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JHG
≇
(i)
△JFG
(ii)
△IFG
(iii)
△JFI
(iv)
△JHI
Question
36
36.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQR
≇
(i)
△SOR
(ii)
△SOP
(iii)
△SQP
(iv)
△ROP
Question
37
37.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OKN
≇
(i)
△NKL
(ii)
△OKL
(iii)
△OML
(iv)
△OMN
Question
38
38.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠KHI
=
(i)
∠JKH
(ii)
∠IJK
(iii)
∠HIL
(iv)
∠HIJ
Question
39
39.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠MNO
=
(i)
∠OLM
(ii)
∠NOL
(iii)
∠LMN
(iv)
∠LMP
Question
40
40.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠PQR
=
(i)
∠PQT
(ii)
∠QRS
(iii)
∠RSP
(iv)
∠SPQ
Question
41
41.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠MNK
=
(i)
∠LMN
(ii)
∠NKL
(iii)
∠KLM
(iv)
∠KLO
Question
42
42.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠QTP
≠
(i)
∠PTS
(ii)
∠SPQ
(iii)
∠RTQ
(iv)
∠STR
Question
43
43.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠STR
≠
(i)
∠QTP
(ii)
∠RTQ
(iii)
∠SPQ
(iv)
∠PTS
Question
44
44.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EIH
≠
(i)
∠HIG
(ii)
∠FIE
(iii)
∠GIF
(iv)
∠HEF
Question
45
45.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠FHE
≠
(i)
∠DHG
(ii)
∠GDE
(iii)
∠EHD
(iv)
∠GHF
Question
46
46.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠RNO
≠
(i)
∠NRQ
(ii)
∠QNR
(iii)
∠OPR
(iv)
∠RPQ
Question
47
47.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠IGH
≠
(i)
∠IEF
(ii)
∠EIH
(iii)
∠FGI
(iv)
∠HEI
Question
48
48.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠GDH
≠
(i)
∠HDE
(ii)
∠EFH
(iii)
∠DHG
(iv)
∠HFG
Question
49
49.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠KLN
≠
(i)
∠JNM
(ii)
∠MJN
(iii)
∠NJK
(iv)
∠NLM
Question
50
50.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠ONK
≠
(i)
∠OLM
(ii)
∠MNO
(iii)
∠NOM
(iv)
∠KLO
Question
51
51.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠ROP
≠
(i)
∠PQR
(ii)
∠QRP
(iii)
∠RQN
(iv)
∠NOR
Question
52
52.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠NOR
≠
(i)
∠QRP
(ii)
∠ROP
(iii)
∠PQR
(iv)
∠RQN
Question
53
53.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠DEF
≠
(i)
∠FEB
(ii)
∠EFD
(iii)
∠FCD
(iv)
∠BCF
Question
54
54.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
HI
=
(i)
GI
(ii)
FI
(iii)
HE
(iv)
EI
Question
55
55.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
CF
=
(i)
DF
(ii)
EB
(iii)
BF
(iv)
EF
Question
56
56.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GK
=
(i)
HK
(ii)
JK
(iii)
IK
(iv)
JG
Question
57
57.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
NP
=
(i)
MP
(ii)
OP
(iii)
OL
(iv)
LP
Question
58
58.
In trapezium
JKLM
,
JL
and
KM
are diagonals.
Then
JK
∥
(i)
JL
(ii)
MJ
(iii)
KL
(iv)
LM
(v)
KM
Question
59
59.
In trapezium
OPQR
,
OQ
and
PR
are diagonals.
Then
QR
∥
(i)
PQ
(ii)
RO
(iii)
OQ
(iv)
PR
(v)
OP
Question
60
60.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
NO
=
(i)
PQ
(ii)
NP
(iii)
OP
(iv)
QN
(v)
OQ
Question
61
61.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
EB
=
(i)
BD
(ii)
DE
(iii)
CE
(iv)
BC
(v)
CD
Question
62
62.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
KL
=
(i)
JK
(ii)
JL
(iii)
MJ
(iv)
KM
(v)
LM
Question
63
63.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
GH
=
(i)
EF
(ii)
FH
(iii)
HE
(iv)
FG
(v)
EG
Question
64
64.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠BCD
=
(i)
∠BEC
(ii)
∠BFE
(iii)
∠BFC
(iv)
∠DEC
(v)
∠DEB
Question
65
65.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠OPM
=
(i)
∠MQN
(ii)
∠MNO
(iii)
∠MPN
(iv)
∠OPN
(v)
∠MQP
Question
66
66.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠IML
=
(i)
∠KLI
(ii)
∠IJK
(iii)
∠IMJ
(iv)
∠ILJ
(v)
∠KLJ
Question
67
67.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠MQN
=
(i)
∠MPN
(ii)
∠MQP
(iii)
∠OPN
(iv)
∠OPM
(v)
∠MNO
Question
68
68.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△PQN
≅
(i)
△QON
(ii)
△QOP
(iii)
△PON
(iv)
△RQN
(v)
△RPO
Question
69
69.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△FED
≅
(i)
△GED
(ii)
△FGD
(iii)
△HGD
(iv)
△HFE
(v)
△GEF
Question
70
70.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MLI
≅
(i)
△MKL
(ii)
△MKJ
(iii)
△LJI
(iv)
△LJK
(v)
△MJI
Question
71
71.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SPO
≅
(i)
△SQR
(ii)
△RPO
(iii)
△SRO
(iv)
△SQP
(v)
△RPQ
Question
72
72.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KIJ
≅
(i)
△KJG
(ii)
△JHI
(iii)
△JHG
(iv)
△KIH
(v)
△KHG
Question
73
73.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QON
≅
(i)
△PNO
(ii)
△QPM
(iii)
△QOP
(iv)
△QNM
(v)
△PNM
Question
74
74.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠EBF
=
(i)
∠FDE
(ii)
∠BFE
(iii)
∠EFD
(iv)
∠FDC
(v)
∠CBF
Question
75
75.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠QPT
=
(i)
∠TRS
(ii)
∠STR
(iii)
∠TRQ
(iv)
∠SPT
(v)
∠PTS
Question
76
76.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠FDE
=
(i)
∠CBF
(ii)
∠BFE
(iii)
∠EFD
(iv)
∠FDC
(v)
∠EBF
Question
77
77.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠ECB
=
(i)
∠DAE
(ii)
∠ECD
(iii)
∠BAE
(iv)
∠DEC
(v)
∠AED
Question
78
78.
Which of the following figures is a regular quadrilateral?
(i)
trapezium
(ii)
rhombus
(iii)
parallelogram
(iv)
square
(v)
rectangle
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (iii)
5) (iii)
6) (i)
7) (iv)
8) (iii)
9) (i)
10) (iv)
11) (ii)
12) (iii)
13) (iv)
14) (ii)
15) (iii)
16) (iii)
17) (ii)
18) (ii)
19) (iii)
20) (v)
21) (i)
22) (iii)
23) (iv)
24) (iii)
25) (iii)
26) (iii)
27) (iv)
28) (iv)
29) (i)
30) (iv)
31) (iv)
32) (ii)
33) (iv)
34) (iv)
35) (ii)
36) (iv)
37) (i)
38) (ii)
39) (i)
40) (iii)
41) (iii)
42) (ii)
43) (iii)
44) (iv)
45) (ii)
46) (i)
47) (ii)
48) (iii)
49) (i)
50) (iii)
51) (ii)
52) (i)
53) (ii)
54) (ii)
55) (iv)
56) (iii)
57) (iv)
58) (iv)
59) (v)
60) (iv)
61) (iv)
62) (v)
63) (iv)
64) (v)
65) (ii)
66) (iii)
67) (ii)
68) (iii)
69) (ii)
70) (v)
71) (iii)
72) (iv)
73) (iii)
74) (v)
75) (iv)
76) (iv)
77) (ii)
78) (iv)