EduSahara™ Assignment
Name : Quadrilateral Properties Using Diagrams
Chapter : Understanding Quadrilaterals
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following figures is a regular quadrilateral?
(i)
trapezium
(ii)
rhombus
(iii)
rectangle
(iv)
square
(v)
parallelogram
Question
2
2.
In the given parallelogram, which of the following statements are true?
a)
GJ
=
IJ
b)
△JFG
≅
△JHI
c)
GJ
=
JF
d)
J
is the mid point of
FH
e)
△GIF
≅
△HIF
(i)
{c,a,b}
(ii)
{c,e,d}
(iii)
{c,a}
(iv)
{a,b,d}
(v)
{e,b}
Question
3
3.
In the given parallelogram, which of the following statements are true?
a)
∠FIE
=
∠HIG
b)
I
is the mid point of
EG
c)
FI
=
IE
d)
△FHE
≅
△GHE
e)
△IHE
≅
△IFG
(i)
{c,d,e}
(ii)
{c,a}
(iii)
{a,b,e}
(iv)
{d,b}
(v)
{c,a,b}
Question
4
4.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CD
∥
(i)
CE
(ii)
FC
(iii)
DE
(iv)
EF
(v)
DF
Question
5
5.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OP
∥
(i)
NP
(ii)
MO
(iii)
NO
(iv)
MN
(v)
PM
Question
6
6.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
DA
∥
(i)
AB
(ii)
BC
(iii)
BD
(iv)
CD
(v)
AC
Question
7
7.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GH
∥
(i)
HI
(ii)
IF
(iii)
FH
(iv)
FG
(v)
GI
Question
8
8.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
=
(i)
FG
(ii)
GH
(iii)
HE
(iv)
EG
(v)
FH
Question
9
9.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
EF
=
(i)
CE
(ii)
DE
(iii)
DF
(iv)
CD
(v)
FC
Question
10
10.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
GD
=
(i)
FG
(ii)
EG
(iii)
DE
(iv)
EF
(v)
DF
Question
11
11.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
EF
=
(i)
DE
(ii)
EG
(iii)
DF
(iv)
GD
(v)
FG
Question
12
12.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△JGH
≅
(i)
△HIJ
(ii)
△GHI
(iii)
△IJK
(iv)
△GHK
(v)
△IJG
Question
13
13.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△JKL
≅
(i)
△LIJ
(ii)
△IJM
(iii)
△KLI
(iv)
△KLM
(v)
△IJK
Question
14
14.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
△EFC
≅
(i)
△CDE
(ii)
△DEF
(iii)
△EFG
(iv)
△CDG
(v)
△FCD
Question
15
15.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△NOP
≅
(i)
△QNO
(ii)
△OPQ
(iii)
△PQN
(iv)
△PQR
(v)
△NOR
Question
16
16.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠OLM
=
(i)
∠NOL
(ii)
∠MNO
(iii)
∠LMP
(iv)
∠LMN
(v)
∠NOP
Question
17
17.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
∠LMN
=
(i)
∠MNK
(ii)
∠KLM
(iii)
∠KLO
(iv)
∠MNO
(v)
∠NKL
Question
18
18.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠FGH
=
(i)
∠HIJ
(ii)
∠GHI
(iii)
∠HIF
(iv)
∠IFG
(v)
∠FGJ
Question
19
19.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
∠EFC
=
(i)
∠CDG
(ii)
∠EFG
(iii)
∠CDE
(iv)
∠DEF
(v)
∠FCD
Question
20
20.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HJ
=
(i)
FJ
(ii)
GH
(iii)
IJ
(iv)
GJ
(v)
IF
Question
21
21.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
GK
=
(i)
JG
(ii)
HI
(iii)
JK
(iv)
HK
(v)
IK
Question
22
22.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
KL
=
(i)
IL
(ii)
JL
(iii)
HL
(iv)
KH
(v)
IJ
Question
23
23.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
MP
=
(i)
LP
(ii)
MN
(iii)
OP
(iv)
NP
(v)
OL
Question
24
24.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
CD
∥
(i)
EF
(ii)
DE
(iii)
FC
(iv)
DF
Question
25
25.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
NO
∥
(i)
MN
(ii)
OL
(iii)
LM
(iv)
MO
Question
26
26.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
DA
∥
(i)
CD
(ii)
AB
(iii)
BD
(iv)
BC
Question
27
27.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KL
∥
(i)
KM
(ii)
MJ
(iii)
LM
(iv)
JK
Question
28
28.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
NO
≠
(i)
QN
(ii)
OP
(iii)
PQ
(iv)
OQ
Question
29
29.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
GH
≠
(i)
EF
(ii)
HE
(iii)
FG
(iv)
FH
Question
30
30.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
MJ
≠
(i)
KM
(ii)
KL
(iii)
JK
(iv)
LM
Question
31
31.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
FG
≠
(i)
EF
(ii)
HE
(iii)
GH
(iv)
FH
Question
32
32.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△EBC
≅
(i)
△DEB
(ii)
△FBC
(iii)
△BCD
(iv)
△CDE
Question
33
33.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△CDE
≅
(i)
△FBC
(ii)
△DEB
(iii)
△BCD
(iv)
△EBC
Question
34
34.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△PQN
≅
(i)
△RNO
(ii)
△NOP
(iii)
△OPQ
(iv)
△QNO
Question
35
35.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△ABC
≅
(i)
△CDA
(ii)
△EAB
(iii)
△DAB
(iv)
△BCD
Question
36
36.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NJK
≇
(i)
△NLK
(ii)
△NJM
(iii)
△NLM
(iv)
△MJK
Question
37
37.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△ECB
≇
(i)
△DAB
(ii)
△EAD
(iii)
△EAB
(iv)
△ECD
Question
38
38.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△PNO
≇
(i)
△OLM
(ii)
△PLM
(iii)
△PLO
(iv)
△PNM
Question
39
39.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MIL
≇
(i)
△MKL
(ii)
△MIJ
(iii)
△LIJ
(iv)
△MKJ
Question
40
40.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QNO
=
(i)
∠NOR
(ii)
∠OPQ
(iii)
∠NOP
(iv)
∠PQN
Question
41
41.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠LMN
=
(i)
∠KLM
(ii)
∠KLO
(iii)
∠MNK
(iv)
∠NKL
Question
42
42.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠LMN
=
(i)
∠OLM
(ii)
∠LMP
(iii)
∠MNO
(iv)
∠NOL
Question
43
43.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IJG
=
(i)
∠HIJ
(ii)
∠JGH
(iii)
∠GHK
(iv)
∠GHI
Question
44
44.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠PSO
≠
(i)
∠QSP
(ii)
∠ROP
(iii)
∠RSQ
(iv)
∠OSR
Question
45
45.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MNL
≠
(i)
∠MJK
(ii)
∠KNJ
(iii)
∠LNK
(iv)
∠JNM
Question
46
46.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠OSR
≠
(i)
∠PSO
(ii)
∠ROP
(iii)
∠RSQ
(iv)
∠QSP
Question
47
47.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NPM
≠
(i)
∠MPL
(ii)
∠OLM
(iii)
∠LPO
(iv)
∠OPN
Question
48
48.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠OKL
≠
(i)
∠OMN
(ii)
∠LMO
(iii)
∠NKO
(iv)
∠KON
Question
49
49.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠IGH
≠
(i)
∠FGI
(ii)
∠EIH
(iii)
∠IEF
(iv)
∠HEI
Question
50
50.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠KHL
≠
(i)
∠LHI
(ii)
∠LJK
(iii)
∠IJL
(iv)
∠HLK
Question
51
51.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠EFH
≠
(i)
∠DHG
(ii)
∠GDH
(iii)
∠HFG
(iv)
∠HDE
Question
52
52.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠KJG
≠
(i)
∠GHK
(ii)
∠JKI
(iii)
∠IJK
(iv)
∠KHI
Question
53
53.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PMN
≠
(i)
∠LMP
(ii)
∠OPN
(iii)
∠NOP
(iv)
∠POL
Question
54
54.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠OPS
≠
(i)
∠SPQ
(ii)
∠RSQ
(iii)
∠QRS
(iv)
∠SRO
Question
55
55.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠HIJ
≠
(i)
∠IJH
(ii)
∠FGJ
(iii)
∠JGH
(iv)
∠JIF
Question
56
56.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
NO
=
(i)
LO
(ii)
MO
(iii)
KO
(iv)
NK
Question
57
57.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
GJ
=
(i)
HJ
(ii)
IJ
(iii)
IF
(iv)
FJ
Question
58
58.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
PT
=
(i)
ST
(ii)
RT
(iii)
SP
(iv)
QT
Question
59
59.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
GI
=
(i)
HE
(ii)
EI
(iii)
HI
(iv)
FI
Question
60
60.
In trapezium
IJKL
,
IK
and
JL
are diagonals.
Then
IJ
∥
(i)
KL
(ii)
JL
(iii)
JK
(iv)
LI
(v)
IK
Question
61
61.
In trapezium
EFGH
,
EG
and
FH
are diagonals.
Then
GH
∥
(i)
EG
(ii)
FG
(iii)
FH
(iv)
HE
(v)
EF
Question
62
62.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
MN
=
(i)
OP
(ii)
MO
(iii)
NO
(iv)
NP
(v)
PM
Question
63
63.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
EB
=
(i)
CD
(ii)
CE
(iii)
DE
(iv)
BC
(v)
BD
Question
64
64.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
IJ
=
(i)
IK
(ii)
HJ
(iii)
JK
(iv)
KH
(v)
HI
Question
65
65.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
JK
=
(i)
KH
(ii)
HI
(iii)
IK
(iv)
IJ
(v)
HJ
Question
66
66.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠HIJ
=
(i)
∠JKH
(ii)
∠HKI
(iii)
∠HLI
(iv)
∠HLK
(v)
∠JKI
Question
67
67.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠IJG
=
(i)
∠GKH
(ii)
∠GKJ
(iii)
∠IJH
(iv)
∠GJH
(v)
∠GHI
Question
68
68.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OSR
=
(i)
∠OSP
(ii)
∠OPQ
(iii)
∠QRP
(iv)
∠ORP
(v)
∠QRO
Question
69
69.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠DHE
=
(i)
∠FGD
(ii)
∠DHG
(iii)
∠DEF
(iv)
∠FGE
(v)
∠DGE
Question
70
70.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△QRO
≅
(i)
△SQP
(ii)
△SRO
(iii)
△QPO
(iv)
△RPQ
(v)
△RPO
Question
71
71.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△EDC
≅
(i)
△FDC
(ii)
△EFC
(iii)
△GED
(iv)
△FDE
(v)
△GFC
Question
72
72.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MLI
≅
(i)
△MKJ
(ii)
△MJI
(iii)
△MKL
(iv)
△LJI
(v)
△LJK
Question
73
73.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TQP
≅
(i)
△TRS
(ii)
△SQP
(iii)
△TSP
(iv)
△TRQ
(v)
△SQR
Question
74
74.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△PNO
≅
(i)
△OML
(ii)
△PNM
(iii)
△POL
(iv)
△OMN
(v)
△PML
Question
75
75.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SQP
≅
(i)
△RPQ
(ii)
△SPO
(iii)
△SRO
(iv)
△RPO
(v)
△SQR
Question
76
76.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠GDH
=
(i)
∠DHG
(ii)
∠HFG
(iii)
∠GHF
(iv)
∠EDH
(v)
∠HFE
Question
77
77.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠HGK
=
(i)
∠KIJ
(ii)
∠GKJ
(iii)
∠JKI
(iv)
∠JGK
(v)
∠KIH
Question
78
78.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠RPQ
=
(i)
∠ONR
(ii)
∠QRP
(iii)
∠NRQ
(iv)
∠RPO
(v)
∠QNR
Question
79
79.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠PNM
=
(i)
∠OLP
(ii)
∠MLP
(iii)
∠PNO
(iv)
∠LPO
(v)
∠OPN
Assignment Key
1) (iv)
2) (iv)
3) (iii)
4) (iv)
5) (iv)
6) (ii)
7) (ii)
8) (ii)
9) (iv)
10) (iv)
11) (iv)
12) (i)
13) (i)
14) (i)
15) (iii)
16) (ii)
17) (v)
18) (iii)
19) (iii)
20) (i)
21) (v)
22) (i)
23) (iii)
24) (i)
25) (iii)
26) (iv)
27) (ii)
28) (iv)
29) (iv)
30) (i)
31) (iv)
32) (iv)
33) (iv)
34) (ii)
35) (i)
36) (iv)
37) (i)
38) (i)
39) (iii)
40) (ii)
41) (iv)
42) (iv)
43) (iv)
44) (ii)
45) (i)
46) (ii)
47) (ii)
48) (iv)
49) (ii)
50) (iv)
51) (i)
52) (ii)
53) (ii)
54) (ii)
55) (i)
56) (i)
57) (ii)
58) (ii)
59) (ii)
60) (i)
61) (v)
62) (v)
63) (iv)
64) (iii)
65) (iv)
66) (i)
67) (v)
68) (i)
69) (ii)
70) (iii)
71) (ii)
72) (ii)
73) (iii)
74) (ii)
75) (v)
76) (iv)
77) (iv)
78) (iv)
79) (iii)