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)
square
(ii)
rhombus
(iii)
rectangle
(iv)
trapezium
(v)
parallelogram
Question
2
2.
In the given parallelogram, which of the following statements are true?
a)
JG
∥
HI
b)
△HJG
≅
△IJG
c)
K
is the mid point of
GI
d)
HK
=
KG
e)
∠HIJ
=
∠JGH
(i)
{a,c,e}
(ii)
{b,d,e}
(iii)
{d,c}
(iv)
{b,a}
(v)
{b,a,c}
Question
3
3.
In the given parallelogram, which of the following statements are true?
a)
EF
∥
GH
b)
FI
=
IG
c)
△IEF
≅
△IGH
d)
FI
=
IE
e)
∠FIE
=
∠HIG
(i)
{d,c}
(ii)
{b,a,c}
(iii)
{b,a}
(iv)
{b,d,e}
(v)
{a,c,e}
Question
4
4.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
BC
∥
(i)
EB
(ii)
DE
(iii)
CE
(iv)
BD
(v)
CD
Question
5
5.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
NO
∥
(i)
OL
(ii)
LM
(iii)
MN
(iv)
LN
(v)
MO
Question
6
6.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
EB
∥
(i)
BC
(ii)
CD
(iii)
DE
(iv)
CE
(v)
BD
Question
7
7.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
FG
∥
(i)
HE
(ii)
EG
(iii)
EF
(iv)
GH
(v)
FH
Question
8
8.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
DE
=
(i)
FG
(ii)
DF
(iii)
EG
(iv)
GD
(v)
EF
Question
9
9.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QR
=
(i)
OQ
(ii)
PQ
(iii)
OP
(iv)
RO
(v)
PR
Question
10
10.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
JG
=
(i)
GI
(ii)
HI
(iii)
GH
(iv)
IJ
(v)
HJ
Question
11
11.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BC
=
(i)
CD
(ii)
DA
(iii)
BD
(iv)
AB
(v)
AC
Question
12
12.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△HEF
≅
(i)
△GHE
(ii)
△FGH
(iii)
△EFI
(iv)
△EFG
(v)
△GHI
Question
13
13.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△CDE
≅
(i)
△BCF
(ii)
△DEF
(iii)
△DEB
(iv)
△BCD
(v)
△EBC
Question
14
14.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△NOL
≅
(i)
△OLM
(ii)
△LMN
(iii)
△MNO
(iv)
△LMP
(v)
△NOP
Question
15
15.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△PQR
≅
(i)
△PQT
(ii)
△SPQ
(iii)
△RSP
(iv)
△RST
(v)
△QRS
Question
16
16.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
∠DAB
=
(i)
∠CDE
(ii)
∠BCD
(iii)
∠CDA
(iv)
∠ABE
(v)
∠ABC
Question
17
17.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠GHI
=
(i)
∠HIF
(ii)
∠FGH
(iii)
∠IFG
(iv)
∠FGJ
(v)
∠HIJ
Question
18
18.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠JKL
=
(i)
∠LMJ
(ii)
∠JKN
(iii)
∠KLM
(iv)
∠LMN
(v)
∠MJK
Question
19
19.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
∠CDA
=
(i)
∠CDE
(ii)
∠ABE
(iii)
∠ABC
(iv)
∠BCD
(v)
∠DAB
Question
20
20.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
FH
=
(i)
EF
(ii)
DH
(iii)
EH
(iv)
GD
(v)
GH
Question
21
21.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
MQ
=
(i)
PM
(ii)
NQ
(iii)
NO
(iv)
OQ
(v)
PQ
Question
22
22.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
RS
=
(i)
PS
(ii)
QS
(iii)
OS
(iv)
PQ
(v)
RO
Question
23
23.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
CF
=
(i)
EB
(ii)
DF
(iii)
BF
(iv)
EF
(v)
CD
Question
24
24.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
PQ
∥
(i)
RS
(ii)
QR
(iii)
SP
(iv)
QS
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
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
IF
∥
(i)
HI
(ii)
GH
(iii)
FG
(iv)
GI
Question
27
27.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
MN
∥
(i)
LM
(ii)
NO
(iii)
OL
(iv)
MO
Question
28
28.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
PQ
≠
(i)
RS
(ii)
SP
(iii)
QR
(iv)
QS
Question
29
29.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
LM
≠
(i)
MJ
(ii)
KL
(iii)
JK
(iv)
KM
Question
30
30.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
PM
≠
(i)
NP
(ii)
MN
(iii)
NO
(iv)
OP
Question
31
31.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
NO
≠
(i)
PM
(ii)
MN
(iii)
NP
(iv)
OP
Question
32
32.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△PMN
≅
(i)
△QMN
(ii)
△NOP
(iii)
△MNO
(iv)
△OPM
Question
33
33.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△HIJ
≅
(i)
△IJG
(ii)
△KGH
(iii)
△GHI
(iv)
△JGH
Question
34
34.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△JKH
≅
(i)
△HIJ
(ii)
△IJK
(iii)
△LHI
(iv)
△KHI
Question
35
35.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△GHI
≅
(i)
△KGH
(ii)
△IJG
(iii)
△JGH
(iv)
△HIJ
Question
36
36.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△HDE
≇
(i)
△HDG
(ii)
△HFE
(iii)
△HFG
(iv)
△GDE
Question
37
37.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRQ
≇
(i)
△SPQ
(ii)
△TPS
(iii)
△TPQ
(iv)
△TRS
Question
38
38.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△PNO
≇
(i)
△OLM
(ii)
△PLO
(iii)
△PNM
(iv)
△PLM
Question
39
39.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△LHK
≇
(i)
△LJK
(ii)
△LHI
(iii)
△LJI
(iv)
△KHI
Question
40
40.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠GDE
=
(i)
∠DEF
(ii)
∠EFG
(iii)
∠DEH
(iv)
∠FGD
Question
41
41.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠FGH
=
(i)
∠GHE
(ii)
∠EFI
(iii)
∠EFG
(iv)
∠HEF
Question
42
42.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠NOP
=
(i)
∠QNO
(ii)
∠OPQ
(iii)
∠PQN
(iv)
∠NOR
Question
43
43.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠QRO
=
(i)
∠OPQ
(ii)
∠PQR
(iii)
∠ROP
(iv)
∠OPS
Question
44
44.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠ORN
≠
(i)
∠PRO
(ii)
∠QNO
(iii)
∠NRQ
(iv)
∠QRP
Question
45
45.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠LMK
≠
(i)
∠IML
(ii)
∠JMI
(iii)
∠LIJ
(iv)
∠KMJ
Question
46
46.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠PTS
≠
(i)
∠STR
(ii)
∠RTQ
(iii)
∠QTP
(iv)
∠SPQ
Question
47
47.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠PRO
≠
(i)
∠ORN
(ii)
∠QRP
(iii)
∠NRQ
(iv)
∠QNO
Question
48
48.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠GCD
≠
(i)
∠CGF
(ii)
∠DEG
(iii)
∠GEF
(iv)
∠FCG
Question
49
49.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠ECD
≠
(i)
∠EAB
(ii)
∠AED
(iii)
∠BCE
(iv)
∠DAE
Question
50
50.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠FCG
≠
(i)
∠GEF
(ii)
∠GCD
(iii)
∠CGF
(iv)
∠DEG
Question
51
51.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DEG
≠
(i)
∠GCD
(ii)
∠FCG
(iii)
∠CGF
(iv)
∠GEF
Question
52
52.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QPM
≠
(i)
∠OPQ
(ii)
∠QNO
(iii)
∠MNQ
(iv)
∠PQO
Question
53
53.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠MJK
≠
(i)
∠MLI
(ii)
∠KLM
(iii)
∠IJM
(iv)
∠LMK
Question
54
54.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠ABE
≠
(i)
∠DEC
(ii)
∠EBC
(iii)
∠EDA
(iv)
∠CDE
Question
55
55.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠PQR
≠
(i)
∠NOR
(ii)
∠RQN
(iii)
∠ROP
(iv)
∠QRP
Question
56
56.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
GH
=
(i)
GD
(ii)
FH
(iii)
EH
(iv)
DH
Question
57
57.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
QT
=
(i)
PT
(ii)
RT
(iii)
ST
(iv)
SP
Question
58
58.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
HL
=
(i)
IL
(ii)
JL
(iii)
KL
(iv)
KH
Question
59
59.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
QS
=
(i)
OS
(ii)
RO
(iii)
PS
(iv)
RS
Question
60
60.
In trapezium
ABCD
,
AC
and
BD
are diagonals.
Then
AB
∥
(i)
BD
(ii)
CD
(iii)
BC
(iv)
DA
(v)
AC
Question
61
61.
In trapezium
CDEF
,
CE
and
DF
are diagonals.
Then
EF
∥
(i)
DE
(ii)
FC
(iii)
DF
(iv)
CD
(v)
CE
Question
62
62.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
MN
=
(i)
OP
(ii)
PM
(iii)
NP
(iv)
NO
(v)
MO
Question
63
63.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
GD
=
(i)
FG
(ii)
EF
(iii)
DE
(iv)
DF
(v)
EG
Question
64
64.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
OP
=
(i)
NP
(ii)
PQ
(iii)
QN
(iv)
OQ
(v)
NO
Question
65
65.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
LM
=
(i)
JK
(ii)
MJ
(iii)
KL
(iv)
KM
(v)
JL
Question
66
66.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠PQR
=
(i)
∠RSQ
(ii)
∠PTQ
(iii)
∠RSP
(iv)
∠PTS
(v)
∠PSQ
Question
67
67.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠LMJ
=
(i)
∠JNM
(ii)
∠JNK
(iii)
∠JMK
(iv)
∠LMK
(v)
∠JKL
Question
68
68.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠MQP
=
(i)
∠MNO
(ii)
∠OPM
(iii)
∠MPN
(iv)
∠OPN
(v)
∠MQN
Question
69
69.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OSP
=
(i)
∠ORP
(ii)
∠QRP
(iii)
∠QRO
(iv)
∠OSR
(v)
∠OPQ
Question
70
70.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△OPM
≅
(i)
△ONM
(ii)
△QON
(iii)
△QPM
(iv)
△PNM
(v)
△PNO
Question
71
71.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△PON
≅
(i)
△RQN
(ii)
△RPO
(iii)
△QOP
(iv)
△PQN
(v)
△QON
Question
72
72.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△NMJ
≅
(i)
△NKJ
(ii)
△NLM
(iii)
△MKJ
(iv)
△MKL
(v)
△NLK
Question
73
73.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△EBA
≅
(i)
△ECB
(ii)
△DBC
(iii)
△EDA
(iv)
△ECD
(v)
△DBA
Question
74
74.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△HFG
≅
(i)
△GEF
(ii)
△HED
(iii)
△HFE
(iv)
△HGD
(v)
△GED
Question
75
75.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JHG
≅
(i)
△JIF
(ii)
△JGF
(iii)
△JHI
(iv)
△IGF
(v)
△IGH
Question
76
76.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠DAE
=
(i)
∠AED
(ii)
∠DEC
(iii)
∠ECD
(iv)
∠ECB
(v)
∠BAE
Question
77
77.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠EDH
=
(i)
∠HFE
(ii)
∠GDH
(iii)
∠DHG
(iv)
∠GHF
(v)
∠HFG
Question
78
78.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠LJK
=
(i)
∠IHL
(ii)
∠KHL
(iii)
∠KLJ
(iv)
∠HLK
(v)
∠LJI
Question
79
79.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠NLK
=
(i)
∠MJN
(ii)
∠MNL
(iii)
∠NLM
(iv)
∠KJN
(v)
∠JNM
Assignment Key
1) (i)
2) (i)
3) (v)
4) (ii)
5) (ii)
6) (ii)
7) (i)
8) (i)
9) (iii)
10) (ii)
11) (ii)
12) (ii)
13) (v)
14) (ii)
15) (iii)
16) (ii)
17) (iii)
18) (i)
19) (iii)
20) (ii)
21) (iv)
22) (i)
23) (iv)
24) (i)
25) (iv)
26) (ii)
27) (iii)
28) (iv)
29) (iv)
30) (i)
31) (iii)
32) (ii)
33) (iv)
34) (i)
35) (ii)
36) (iv)
37) (i)
38) (i)
39) (iv)
40) (ii)
41) (iv)
42) (iii)
43) (i)
44) (ii)
45) (iii)
46) (iv)
47) (iv)
48) (i)
49) (ii)
50) (iii)
51) (iii)
52) (iv)
53) (iv)
54) (i)
55) (iv)
56) (iii)
57) (iii)
58) (ii)
59) (i)
60) (ii)
61) (iv)
62) (ii)
63) (iii)
64) (ii)
65) (iii)
66) (iii)
67) (v)
68) (v)
69) (iv)
70) (i)
71) (iv)
72) (i)
73) (iii)
74) (iii)
75) (iii)
76) (v)
77) (ii)
78) (v)
79) (iii)