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)
OR
=
RN
b)
△OQN
≅
△PQN
c)
QN
∥
OP
d)
OR
=
QR
e)
△RNO
≅
△RPQ
(i)
{c,d,e}
(ii)
{a,b,e}
(iii)
{a,c}
(iv)
{a,c,d}
(v)
{b,d}
Question
2
2.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
FG
∥
(i)
IF
(ii)
FH
(iii)
GH
(iv)
GI
(v)
HI
Question
3
3.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
DE
∥
(i)
CE
(ii)
EB
(iii)
BD
(iv)
BC
(v)
CD
Question
4
4.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
QN
∥
(i)
OP
(ii)
NO
(iii)
OQ
(iv)
NP
(v)
PQ
Question
5
5.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
∥
(i)
IK
(ii)
HI
(iii)
HJ
(iv)
KH
(v)
JK
Question
6
6.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
PQ
=
(i)
RS
(ii)
QR
(iii)
PR
(iv)
SP
(v)
QS
Question
7
7.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
NO
=
(i)
MO
(ii)
OL
(iii)
MN
(iv)
LN
(v)
LM
Question
8
8.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
IF
=
(i)
FG
(ii)
GH
(iii)
HI
(iv)
GI
(v)
FH
Question
9
9.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
LM
=
(i)
LN
(ii)
NK
(iii)
KL
(iv)
KM
(v)
MN
Question
10
10.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△JGH
≅
(i)
△HIJ
(ii)
△IJG
(iii)
△GHK
(iv)
△GHI
(v)
△IJK
Question
11
11.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△PQR
≅
(i)
△OPS
(ii)
△QRO
(iii)
△ROP
(iv)
△OPQ
(v)
△QRS
Question
12
12.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△PQN
≅
(i)
△PQR
(ii)
△QNO
(iii)
△OPQ
(iv)
△NOP
(v)
△NOR
Question
13
13.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△DEF
≅
(i)
△FGD
(ii)
△DEH
(iii)
△FGH
(iv)
△GDE
(v)
△EFG
Question
14
14.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠SPQ
=
(i)
∠PQR
(ii)
∠QRS
(iii)
∠PQT
(iv)
∠RSP
(v)
∠RST
Question
15
15.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠PQR
=
(i)
∠QRO
(ii)
∠OPS
(iii)
∠OPQ
(iv)
∠QRS
(v)
∠ROP
Question
16
16.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠IJK
=
(i)
∠JKL
(ii)
∠KLM
(iii)
∠IJM
(iv)
∠KLI
(v)
∠LIJ
Question
17
17.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠NOL
=
(i)
∠OLM
(ii)
∠LMP
(iii)
∠LMN
(iv)
∠NOP
(v)
∠MNO
Question
18
18.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
CE
=
(i)
BC
(ii)
BE
(iii)
AE
(iv)
DA
(v)
DE
Question
19
19.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EI
=
(i)
FI
(ii)
HI
(iii)
HE
(iv)
GI
(v)
FG
Question
20
20.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
ST
=
(i)
QR
(ii)
QT
(iii)
SP
(iv)
RT
(v)
PT
Question
21
21.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
FI
=
(i)
EI
(ii)
HE
(iii)
HI
(iv)
GI
(v)
FG
Question
22
22.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
DE
∥
(i)
EF
(ii)
FG
(iii)
GD
(iv)
EG
Question
23
23.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DE
∥
(i)
BC
(ii)
EB
(iii)
CE
(iv)
CD
Question
24
24.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
KH
∥
(i)
IJ
(ii)
IK
(iii)
HI
(iv)
JK
Question
25
25.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
DE
∥
(i)
CD
(ii)
EF
(iii)
FC
(iv)
DF
Question
26
26.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
PQ
≠
(i)
RS
(ii)
SP
(iii)
QS
(iv)
QR
Question
27
27.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
CD
≠
(i)
BC
(ii)
DA
(iii)
AB
(iv)
BD
Question
28
28.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OL
≠
(i)
NO
(ii)
MO
(iii)
LM
(iv)
MN
Question
29
29.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
LM
≠
(i)
MN
(ii)
LN
(iii)
NK
(iv)
KL
Question
30
30.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△QNO
≅
(i)
△RNO
(ii)
△OPQ
(iii)
△PQN
(iv)
△NOP
Question
31
31.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△BCD
≅
(i)
△EAB
(ii)
△DAB
(iii)
△ABC
(iv)
△CDA
Question
32
32.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△IJG
≅
(i)
△HIJ
(ii)
△JGH
(iii)
△KGH
(iv)
△GHI
Question
33
33.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△DEF
≅
(i)
△EFG
(ii)
△HDE
(iii)
△GDE
(iv)
△FGD
Question
34
34.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△EAB
≇
(i)
△DAB
(ii)
△EAD
(iii)
△ECB
(iv)
△ECD
Question
35
35.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQP
≇
(i)
△SOR
(ii)
△SQR
(iii)
△ROP
(iv)
△SOP
Question
36
36.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QOP
≇
(i)
△QMP
(ii)
△PMN
(iii)
△QMN
(iv)
△QON
Question
37
37.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△FBE
≇
(i)
△FDE
(ii)
△EBC
(iii)
△FBC
(iv)
△FDC
Question
38
38.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠OLM
=
(i)
∠NOL
(ii)
∠LMN
(iii)
∠MNO
(iv)
∠LMP
Question
39
39.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠OPQ
=
(i)
∠QNO
(ii)
∠PQN
(iii)
∠NOP
(iv)
∠NOR
Question
40
40.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠CDE
=
(i)
∠CDG
(ii)
∠DEF
(iii)
∠EFC
(iv)
∠FCD
Question
41
41.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠RSP
=
(i)
∠PQT
(ii)
∠QRS
(iii)
∠SPQ
(iv)
∠PQR
Question
42
42.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠PSO
≠
(i)
∠OSR
(ii)
∠QSP
(iii)
∠ROP
(iv)
∠RSQ
Question
43
43.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QRP
≠
(i)
∠PRO
(ii)
∠NRQ
(iii)
∠QNO
(iv)
∠ORN
Question
44
44.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠PTS
≠
(i)
∠RTQ
(ii)
∠SPQ
(iii)
∠QTP
(iv)
∠STR
Question
45
45.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠GIF
≠
(i)
∠HEF
(ii)
∠HIG
(iii)
∠FIE
(iv)
∠EIH
Question
46
46.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SOP
≠
(i)
∠ROS
(ii)
∠PQS
(iii)
∠OSR
(iv)
∠SQR
Question
47
47.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠NLM
≠
(i)
∠MJN
(ii)
∠JNM
(iii)
∠KLN
(iv)
∠NJK
Question
48
48.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠LIM
≠
(i)
∠MIJ
(ii)
∠IML
(iii)
∠JKM
(iv)
∠MKL
Question
49
49.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠QRT
≠
(i)
∠PTS
(ii)
∠TPQ
(iii)
∠TRS
(iv)
∠SPT
Question
50
50.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TSP
≠
(i)
∠STR
(ii)
∠RST
(iii)
∠TQR
(iv)
∠PQT
Question
51
51.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EBC
≠
(i)
∠CDE
(ii)
∠DEC
(iii)
∠ABE
(iv)
∠EDA
Question
52
52.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠DEH
≠
(i)
∠HGD
(ii)
∠HEF
(iii)
∠FGH
(iv)
∠GHF
Question
53
53.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠DEF
≠
(i)
∠FCD
(ii)
∠EFD
(iii)
∠BCF
(iv)
∠FEB
Question
54
54.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RS
=
(i)
OS
(ii)
QS
(iii)
PS
(iv)
RO
Question
55
55.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
NQ
=
(i)
OQ
(ii)
MQ
(iii)
PQ
(iv)
PM
Question
56
56.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
IM
=
(i)
KM
(ii)
LI
(iii)
JM
(iv)
LM
Question
57
57.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
KM
=
(i)
LI
(ii)
LM
(iii)
JM
(iv)
IM
Question
58
58.
In trapezium
HIJK
,
HJ
and
IK
are diagonals.
Then
HI
∥
(i)
IJ
(ii)
JK
(iii)
KH
(iv)
IK
(v)
HJ
Question
59
59.
In trapezium
ABCD
,
AC
and
BD
are diagonals.
Then
CD
∥
(i)
BC
(ii)
DA
(iii)
AC
(iv)
AB
(v)
BD
Question
60
60.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
KL
=
(i)
NK
(ii)
MN
(iii)
LN
(iv)
KM
(v)
LM
Question
61
61.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
OL
=
(i)
MO
(ii)
MN
(iii)
LN
(iv)
LM
(v)
NO
Question
62
62.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
LM
=
(i)
KM
(ii)
MN
(iii)
KL
(iv)
LN
(v)
NK
Question
63
63.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
RS
=
(i)
QS
(ii)
QR
(iii)
PR
(iv)
SP
(v)
PQ
Question
64
64.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠KLM
=
(i)
∠KOL
(ii)
∠MNL
(iii)
∠KNL
(iv)
∠KON
(v)
∠MNK
Question
65
65.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠GHE
=
(i)
∠EIF
(ii)
∠EFG
(iii)
∠EIH
(iv)
∠EHF
(v)
∠GHF
Question
66
66.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠KON
=
(i)
∠KNL
(ii)
∠KOL
(iii)
∠MNK
(iv)
∠MNL
(v)
∠KLM
Question
67
67.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠HLI
=
(i)
∠HKI
(ii)
∠JKI
(iii)
∠HLK
(iv)
∠HIJ
(v)
∠JKH
Question
68
68.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△MNK
≅
(i)
△OML
(ii)
△MLK
(iii)
△ONK
(iv)
△NLM
(v)
△NLK
Question
69
69.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△DCB
≅
(i)
△ECD
(ii)
△FDC
(iii)
△DEB
(iv)
△FEB
(v)
△ECB
Question
70
70.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SRO
≅
(i)
△RPQ
(ii)
△SQR
(iii)
△SQP
(iv)
△SPO
(v)
△RPO
Question
71
71.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△LIH
≅
(i)
△LJI
(ii)
△KIH
(iii)
△LJK
(iv)
△LKH
(v)
△KIJ
Question
72
72.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△NLM
≅
(i)
△MKJ
(ii)
△MKL
(iii)
△NKJ
(iv)
△NLK
(v)
△NMJ
Question
73
73.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QON
≅
(i)
△PNO
(ii)
△QNM
(iii)
△QPM
(iv)
△PNM
(v)
△QOP
Question
74
74.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠KHL
=
(i)
∠LJK
(ii)
∠LJI
(iii)
∠IHL
(iv)
∠HLK
(v)
∠KLJ
Question
75
75.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠GFJ
=
(i)
∠IJH
(ii)
∠JHG
(iii)
∠JHI
(iv)
∠IFJ
(v)
∠FJI
Question
76
76.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠GEF
=
(i)
∠CGF
(ii)
∠FCG
(iii)
∠GED
(iv)
∠DCG
(v)
∠FGE
Question
77
77.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠OML
=
(i)
∠KON
(ii)
∠OMN
(iii)
∠NKO
(iv)
∠LKO
(v)
∠NOM
Question
78
78.
Which of the following figures is a regular quadrilateral?
(i)
parallelogram
(ii)
rhombus
(iii)
square
(iv)
rectangle
(v)
trapezium
Assignment Key
1) (i)
2) (v)
3) (iv)
4) (i)
5) (iv)
6) (i)
7) (v)
8) (ii)
9) (ii)
10) (i)
11) (iii)
12) (iv)
13) (i)
14) (ii)
15) (v)
16) (iv)
17) (iii)
18) (iii)
19) (iv)
20) (ii)
21) (iii)
22) (ii)
23) (i)
24) (i)
25) (iii)
26) (iii)
27) (iv)
28) (ii)
29) (ii)
30) (ii)
31) (ii)
32) (iv)
33) (iv)
34) (i)
35) (iii)
36) (ii)
37) (ii)
38) (iii)
39) (i)
40) (iii)
41) (iv)
42) (iii)
43) (iii)
44) (ii)
45) (i)
46) (iii)
47) (ii)
48) (ii)
49) (i)
50) (i)
51) (ii)
52) (iv)
53) (ii)
54) (iii)
55) (iii)
56) (i)
57) (iv)
58) (ii)
59) (iv)
60) (i)
61) (iv)
62) (ii)
63) (ii)
64) (v)
65) (ii)
66) (ii)
67) (iii)
68) (ii)
69) (iii)
70) (iv)
71) (iv)
72) (iv)
73) (v)
74) (iii)
75) (iv)
76) (iii)
77) (ii)
78) (iii)