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)
parallelogram
(ii)
square
(iii)
trapezium
(iv)
rectangle
(v)
rhombus
Question
2
2.
In the given parallelogram, which of the following statements are true?
a)
JK
∥
LM
b)
N
is the mid point of
JL
c)
△KMJ
≅
△LMJ
d)
KN
=
NJ
e)
△NMJ
≅
△NKL
(i)
{a,b,e}
(ii)
{d,b}
(iii)
{c,d,e}
(iv)
{c,a,b}
(v)
{c,a}
Question
3
3.
In the given parallelogram, which of the following statements are true?
a)
OR
=
RP
b)
∠OPQ
=
∠QNO
c)
R
is the mid point of
OQ
d)
NO
∥
PQ
e)
△OQN
≅
△PQN
(i)
{a,b}
(ii)
{a,b,c}
(iii)
{b,c,d}
(iv)
{a,e,d}
(v)
{e,c}
Question
4
4.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
BC
∥
(i)
EB
(ii)
BD
(iii)
DE
(iv)
CD
(v)
CE
Question
5
5.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
GH
∥
(i)
EG
(ii)
EF
(iii)
FH
(iv)
HE
(v)
FG
Question
6
6.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
IF
∥
(i)
FH
(ii)
GH
(iii)
HI
(iv)
GI
(v)
FG
Question
7
7.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QR
∥
(i)
SP
(ii)
RS
(iii)
QS
(iv)
PQ
(v)
PR
Question
8
8.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
=
(i)
GH
(ii)
HE
(iii)
EG
(iv)
FG
(v)
FH
Question
9
9.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QR
=
(i)
PR
(ii)
OQ
(iii)
OP
(iv)
RO
(v)
PQ
Question
10
10.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
GD
=
(i)
DE
(ii)
DF
(iii)
EG
(iv)
FG
(v)
EF
Question
11
11.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BC
=
(i)
AC
(ii)
BD
(iii)
CD
(iv)
DA
(v)
AB
Question
12
12.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△GDE
≅
(i)
△DEF
(ii)
△FGH
(iii)
△EFG
(iv)
△FGD
(v)
△DEH
Question
13
13.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△HIJ
≅
(i)
△JGH
(ii)
△IJK
(iii)
△GHI
(iv)
△IJG
(v)
△GHK
Question
14
14.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△NOL
≅
(i)
△MNO
(ii)
△LMN
(iii)
△NOP
(iv)
△OLM
(v)
△LMP
Question
15
15.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
△HIJ
≅
(i)
△JKH
(ii)
△IJK
(iii)
△JKL
(iv)
△HIL
(v)
△KHI
Question
16
16.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠SPQ
=
(i)
∠RSP
(ii)
∠QRS
(iii)
∠PQT
(iv)
∠PQR
(v)
∠RST
Question
17
17.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
∠BCD
=
(i)
∠ABE
(ii)
∠CDE
(iii)
∠DAB
(iv)
∠CDA
(v)
∠ABC
Question
18
18.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠JKL
=
(i)
∠KLM
(ii)
∠JKN
(iii)
∠LMJ
(iv)
∠MJK
(v)
∠LMN
Question
19
19.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠HIF
=
(i)
∠FGH
(ii)
∠GHI
(iii)
∠IFG
(iv)
∠FGJ
(v)
∠HIJ
Question
20
20.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
KM
=
(i)
IM
(ii)
LM
(iii)
JM
(iv)
LI
(v)
JK
Question
21
21.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
MQ
=
(i)
PM
(ii)
PQ
(iii)
NO
(iv)
OQ
(v)
NQ
Question
22
22.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
DE
=
(i)
CE
(ii)
DA
(iii)
BE
(iv)
AE
(v)
BC
Question
23
23.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
FI
=
(i)
EI
(ii)
HI
(iii)
GI
(iv)
HE
(v)
FG
Question
24
24.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
HI
∥
(i)
JK
(ii)
IK
(iii)
KH
(iv)
IJ
Question
25
25.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
CD
∥
(i)
BD
(ii)
DA
(iii)
BC
(iv)
AB
Question
26
26.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
NK
∥
(i)
LN
(ii)
MN
(iii)
KL
(iv)
LM
Question
27
27.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
BC
∥
(i)
CD
(ii)
AB
(iii)
DA
(iv)
BD
Question
28
28.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
BC
≠
(i)
DE
(ii)
CE
(iii)
CD
(iv)
EB
Question
29
29.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
KL
≠
(i)
IJ
(ii)
JL
(iii)
LI
(iv)
JK
Question
30
30.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
GD
≠
(i)
DE
(ii)
EG
(iii)
FG
(iv)
EF
Question
31
31.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
QR
≠
(i)
QS
(ii)
PQ
(iii)
RS
(iv)
SP
Question
32
32.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△GDE
≅
(i)
△EFG
(ii)
△FGD
(iii)
△HDE
(iv)
△DEF
Question
33
33.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△BCD
≅
(i)
△EAB
(ii)
△CDA
(iii)
△DAB
(iv)
△ABC
Question
34
34.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△OPM
≅
(i)
△PMN
(ii)
△NOP
(iii)
△QMN
(iv)
△MNO
Question
35
35.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△NOP
≅
(i)
△RNO
(ii)
△PQN
(iii)
△QNO
(iv)
△OPQ
Question
36
36.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NJK
≇
(i)
△NLM
(ii)
△NLK
(iii)
△MJK
(iv)
△NJM
Question
37
37.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QON
≇
(i)
△QMN
(ii)
△QOP
(iii)
△QMP
(iv)
△PMN
Question
38
38.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QOP
≇
(i)
△QON
(ii)
△QMP
(iii)
△QMN
(iv)
△PMN
Question
39
39.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QMP
≇
(i)
△QMN
(ii)
△PMN
(iii)
△QOP
(iv)
△QON
Question
40
40.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠FCD
=
(i)
∠CDG
(ii)
∠EFC
(iii)
∠CDE
(iv)
∠DEF
Question
41
41.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠BCD
=
(i)
∠DAB
(ii)
∠CDA
(iii)
∠ABC
(iv)
∠ABE
Question
42
42.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠LMN
=
(i)
∠MNO
(ii)
∠LMP
(iii)
∠OLM
(iv)
∠NOL
Question
43
43.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠QRO
=
(i)
∠OPS
(ii)
∠PQR
(iii)
∠OPQ
(iv)
∠ROP
Question
44
44.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠MPL
≠
(i)
∠NPM
(ii)
∠LPO
(iii)
∠OLM
(iv)
∠OPN
Question
45
45.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠IJH
≠
(i)
∠GJF
(ii)
∠IFG
(iii)
∠HJG
(iv)
∠FJI
Question
46
46.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠IML
≠
(i)
∠KMJ
(ii)
∠LIJ
(iii)
∠LMK
(iv)
∠JMI
Question
47
47.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IKH
≠
(i)
∠HKG
(ii)
∠JGH
(iii)
∠JKI
(iv)
∠GKJ
Question
48
48.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QMN
≠
(i)
∠QOP
(ii)
∠PMQ
(iii)
∠NOQ
(iv)
∠MQP
Question
49
49.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠RPQ
≠
(i)
∠RNO
(ii)
∠NRQ
(iii)
∠OPR
(iv)
∠QNR
Question
50
50.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠NKO
≠
(i)
∠LMO
(ii)
∠OMN
(iii)
∠KON
(iv)
∠OKL
Question
51
51.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠GHJ
≠
(i)
∠FJI
(ii)
∠IFJ
(iii)
∠JHI
(iv)
∠JFG
Question
52
52.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠POL
≠
(i)
∠LMP
(ii)
∠PMN
(iii)
∠NOP
(iv)
∠OPN
Question
53
53.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SPQ
≠
(i)
∠QRS
(ii)
∠OPS
(iii)
∠SRO
(iv)
∠RSQ
Question
54
54.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠DEH
≠
(i)
∠HGD
(ii)
∠GHF
(iii)
∠HEF
(iv)
∠FGH
Question
55
55.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠MNO
≠
(i)
∠NOM
(ii)
∠OLM
(iii)
∠ONK
(iv)
∠KLO
Question
56
56.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
DE
=
(i)
BE
(ii)
DA
(iii)
CE
(iv)
AE
Question
57
57.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
CF
=
(i)
BF
(ii)
EF
(iii)
DF
(iv)
EB
Question
58
58.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
LP
=
(i)
NP
(ii)
OP
(iii)
MP
(iv)
OL
Question
59
59.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
FH
=
(i)
DH
(ii)
EH
(iii)
GH
(iv)
GD
Question
60
60.
In trapezium
GHIJ
,
GI
and
HJ
are diagonals.
Then
GH
∥
(i)
HJ
(ii)
GI
(iii)
IJ
(iv)
HI
(v)
JG
Question
61
61.
In trapezium
DEFG
,
DF
and
EG
are diagonals.
Then
FG
∥
(i)
EG
(ii)
DE
(iii)
EF
(iv)
DF
(v)
GD
Question
62
62.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
NO
=
(i)
NP
(ii)
PQ
(iii)
OP
(iv)
OQ
(v)
QN
Question
63
63.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
RO
=
(i)
PQ
(ii)
PR
(iii)
QR
(iv)
OQ
(v)
OP
Question
64
64.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
KL
=
(i)
MJ
(ii)
JL
(iii)
KM
(iv)
LM
(v)
JK
Question
65
65.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
IJ
=
(i)
HJ
(ii)
GH
(iii)
GI
(iv)
HI
(v)
JG
Question
66
66.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠EFG
=
(i)
∠GHE
(ii)
∠GHF
(iii)
∠EHF
(iv)
∠EIH
(v)
∠EIF
Question
67
67.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠GHE
=
(i)
∠EHF
(ii)
∠EIH
(iii)
∠EIF
(iv)
∠EFG
(v)
∠GHF
Question
68
68.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠NRQ
=
(i)
∠NRO
(ii)
∠NOP
(iii)
∠PQO
(iv)
∠PQN
(v)
∠NQO
Question
69
69.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠FJG
=
(i)
∠HIG
(ii)
∠FIG
(iii)
∠FJI
(iv)
∠FGH
(v)
∠HIF
Question
70
70.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△FGD
≅
(i)
△GEF
(ii)
△HFE
(iii)
△GED
(iv)
△FED
(v)
△HGD
Question
71
71.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△EDC
≅
(i)
△FDC
(ii)
△GED
(iii)
△FDE
(iv)
△EFC
(v)
△GFC
Question
72
72.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△ONK
≅
(i)
△OLK
(ii)
△OML
(iii)
△NLM
(iv)
△NLK
(v)
△OMN
Question
73
73.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KHG
≅
(i)
△JHI
(ii)
△KIJ
(iii)
△JHG
(iv)
△KJG
(v)
△KIH
Question
74
74.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MKL
≅
(i)
△LJI
(ii)
△MLI
(iii)
△MKJ
(iv)
△LJK
(v)
△MJI
Question
75
75.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△NLK
≅
(i)
△MKJ
(ii)
△NKJ
(iii)
△NMJ
(iv)
△NLM
(v)
△MKL
Question
76
76.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠KHL
=
(i)
∠LJK
(ii)
∠HLK
(iii)
∠LJI
(iv)
∠IHL
(v)
∠KLJ
Question
77
77.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠QPT
=
(i)
∠TRS
(ii)
∠STR
(iii)
∠SPT
(iv)
∠PTS
(v)
∠TRQ
Question
78
78.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠KIJ
=
(i)
∠GKJ
(ii)
∠KIH
(iii)
∠JGK
(iv)
∠JKI
(v)
∠HGK
Question
79
79.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠HFE
=
(i)
∠GDH
(ii)
∠GHF
(iii)
∠DHG
(iv)
∠HFG
(v)
∠EDH
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (iii)
5) (ii)
6) (ii)
7) (i)
8) (i)
9) (iii)
10) (v)
11) (iv)
12) (iii)
13) (i)
14) (ii)
15) (i)
16) (ii)
17) (iii)
18) (iii)
19) (i)
20) (i)
21) (iv)
22) (iii)
23) (ii)
24) (i)
25) (iv)
26) (iv)
27) (iii)
28) (ii)
29) (ii)
30) (ii)
31) (i)
32) (i)
33) (iii)
34) (iv)
35) (ii)
36) (iii)
37) (iv)
38) (iv)
39) (ii)
40) (iv)
41) (i)
42) (iv)
43) (iii)
44) (iii)
45) (ii)
46) (ii)
47) (ii)
48) (iv)
49) (ii)
50) (iii)
51) (i)
52) (iv)
53) (iv)
54) (ii)
55) (i)
56) (i)
57) (ii)
58) (i)
59) (i)
60) (iii)
61) (ii)
62) (v)
63) (v)
64) (iv)
65) (iv)
66) (i)
67) (iv)
68) (i)
69) (iii)
70) (iv)
71) (iv)
72) (i)
73) (iv)
74) (iii)
75) (iv)
76) (iv)
77) (iii)
78) (ii)
79) (iv)