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)
rectangle
(ii)
trapezium
(iii)
rhombus
(iv)
parallelogram
(v)
square
Question
2
2.
In the given parallelogram, which of the following statements are true?
a)
M
is the mid point of
IK
b)
△MIJ
≅
△MKL
c)
M
is the mid point of
JL
d)
JM
=
MI
e)
△JLI
≅
△KLI
(i)
{a,b,c}
(ii)
{d,a,b}
(iii)
{d,e,c}
(iv)
{e,b}
(v)
{d,a}
Question
3
3.
In the given parallelogram, which of the following statements are true?
a)
△DFC
≅
△EFC
b)
G
is the mid point of
CE
c)
DG
=
GE
d)
△GFC
≅
△GDE
e)
FC
∥
DE
(i)
{a,c,e}
(ii)
{a,b}
(iii)
{a,b,d}
(iv)
{b,d,e}
(v)
{c,d}
Question
4
4.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
OP
∥
(i)
OQ
(ii)
RO
(iii)
PQ
(iv)
QR
(v)
PR
Question
5
5.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JK
∥
(i)
KH
(ii)
HJ
(iii)
IJ
(iv)
IK
(v)
HI
Question
6
6.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
SP
∥
(i)
PR
(ii)
QS
(iii)
PQ
(iv)
QR
(v)
RS
Question
7
7.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BC
∥
(i)
AC
(ii)
AB
(iii)
DA
(iv)
CD
(v)
BD
Question
8
8.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
DE
=
(i)
EF
(ii)
FG
(iii)
GD
(iv)
EG
(v)
DF
Question
9
9.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
PQ
=
(i)
OP
(ii)
OQ
(iii)
NO
(iv)
NP
(v)
QN
Question
10
10.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
KH
=
(i)
IK
(ii)
HJ
(iii)
HI
(iv)
IJ
(v)
JK
Question
11
11.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QR
=
(i)
PQ
(ii)
SP
(iii)
PR
(iv)
RS
(v)
QS
Question
12
12.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
△NKL
≅
(i)
△KLM
(ii)
△MNK
(iii)
△KLO
(iv)
△LMN
(v)
△MNO
Question
13
13.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
△LMN
≅
(i)
△MNK
(ii)
△MNO
(iii)
△KLM
(iv)
△NKL
(v)
△KLO
Question
14
14.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△GHE
≅
(i)
△EFI
(ii)
△FGH
(iii)
△GHI
(iv)
△HEF
(v)
△EFG
Question
15
15.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△GHI
≅
(i)
△GHK
(ii)
△HIJ
(iii)
△IJK
(iv)
△IJG
(v)
△JGH
Question
16
16.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠PMN
=
(i)
∠MNO
(ii)
∠MNQ
(iii)
∠OPM
(iv)
∠NOP
(v)
∠OPQ
Question
17
17.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠JKL
=
(i)
∠KLM
(ii)
∠IJM
(iii)
∠LIJ
(iv)
∠KLI
(v)
∠IJK
Question
18
18.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
∠KLM
=
(i)
∠MNK
(ii)
∠NKL
(iii)
∠KLO
(iv)
∠LMN
(v)
∠MNO
Question
19
19.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
∠GHE
=
(i)
∠EFI
(ii)
∠GHI
(iii)
∠HEF
(iv)
∠FGH
(v)
∠EFG
Question
20
20.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
RT
=
(i)
SP
(ii)
QT
(iii)
ST
(iv)
PT
(v)
QR
Question
21
21.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
MQ
=
(i)
PM
(ii)
OQ
(iii)
NO
(iv)
NQ
(v)
PQ
Question
22
22.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
MN
=
(i)
KN
(ii)
JN
(iii)
LN
(iv)
KL
(v)
MJ
Question
23
23.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
NQ
=
(i)
PM
(ii)
MQ
(iii)
PQ
(iv)
OQ
(v)
NO
Question
24
24.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
HI
∥
(i)
IK
(ii)
JK
(iii)
KH
(iv)
IJ
Question
25
25.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
FG
∥
(i)
EG
(ii)
GD
(iii)
DE
(iv)
EF
Question
26
26.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
GD
∥
(i)
FG
(ii)
EG
(iii)
EF
(iv)
DE
Question
27
27.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
JK
∥
(i)
KL
(ii)
JL
(iii)
IJ
(iv)
LI
Question
28
28.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
EF
≠
(i)
FG
(ii)
GH
(iii)
HE
(iv)
FH
Question
29
29.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
KL
≠
(i)
JK
(ii)
LI
(iii)
IJ
(iv)
JL
Question
30
30.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RO
≠
(i)
OP
(ii)
PR
(iii)
PQ
(iv)
QR
Question
31
31.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
MN
≠
(i)
LM
(ii)
MO
(iii)
OL
(iv)
NO
Question
32
32.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△NKL
≅
(i)
△KLM
(ii)
△MNK
(iii)
△OKL
(iv)
△LMN
Question
33
33.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△DEF
≅
(i)
△EFC
(ii)
△FCD
(iii)
△GCD
(iv)
△CDE
Question
34
34.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△MNK
≅
(i)
△LMN
(ii)
△KLM
(iii)
△OKL
(iv)
△NKL
Question
35
35.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△NOP
≅
(i)
△QNO
(ii)
△PQN
(iii)
△RNO
(iv)
△OPQ
Question
36
36.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IEF
≇
(i)
△IEH
(ii)
△IGH
(iii)
△HEF
(iv)
△IGF
Question
37
37.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NLK
≇
(i)
△NJK
(ii)
△MJK
(iii)
△NJM
(iv)
△NLM
Question
38
38.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQR
≇
(i)
△SOR
(ii)
△SOP
(iii)
△ROP
(iv)
△SQP
Question
39
39.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△HDG
≇
(i)
△HFG
(ii)
△GDE
(iii)
△HFE
(iv)
△HDE
Question
40
40.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠LIJ
=
(i)
∠IJK
(ii)
∠IJM
(iii)
∠JKL
(iv)
∠KLI
Question
41
41.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠HIJ
=
(i)
∠IJG
(ii)
∠GHK
(iii)
∠GHI
(iv)
∠JGH
Question
42
42.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠BCD
=
(i)
∠DEB
(ii)
∠BCF
(iii)
∠EBC
(iv)
∠CDE
Question
43
43.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠KLI
=
(i)
∠JKL
(ii)
∠LIJ
(iii)
∠IJM
(iv)
∠IJK
Question
44
44.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠LOK
≠
(i)
∠NKL
(ii)
∠MOL
(iii)
∠NOM
(iv)
∠KON
Question
45
45.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠NOM
≠
(i)
∠KON
(ii)
∠NKL
(iii)
∠LOK
(iv)
∠MOL
Question
46
46.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠HLK
≠
(i)
∠KHI
(ii)
∠JLI
(iii)
∠KLJ
(iv)
∠ILH
Question
47
47.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠HJG
≠
(i)
∠IJH
(ii)
∠IFG
(iii)
∠FJI
(iv)
∠GJF
Question
48
48.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SOP
≠
(i)
∠ROS
(ii)
∠OSR
(iii)
∠SQR
(iv)
∠PQS
Question
49
49.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠JHI
≠
(i)
∠GHJ
(ii)
∠JFG
(iii)
∠IFJ
(iv)
∠FJI
Question
50
50.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠PMQ
≠
(i)
∠QOP
(ii)
∠NOQ
(iii)
∠QMN
(iv)
∠MQP
Question
51
51.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠PQS
≠
(i)
∠SOP
(ii)
∠ROS
(iii)
∠SQR
(iv)
∠OSR
Question
52
52.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠KJG
≠
(i)
∠JKI
(ii)
∠GHK
(iii)
∠IJK
(iv)
∠KHI
Question
53
53.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EBC
≠
(i)
∠EDA
(ii)
∠CDE
(iii)
∠DEC
(iv)
∠ABE
Question
54
54.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠OPS
≠
(i)
∠RSQ
(ii)
∠SPQ
(iii)
∠QRS
(iv)
∠SRO
Question
55
55.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠JKL
≠
(i)
∠LKH
(ii)
∠HIL
(iii)
∠KLJ
(iv)
∠LIJ
Question
56
56.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
IJ
=
(i)
GJ
(ii)
FJ
(iii)
HJ
(iv)
IF
Question
57
57.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
IL
=
(i)
KL
(ii)
HL
(iii)
KH
(iv)
JL
Question
58
58.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
IM
=
(i)
LM
(ii)
JM
(iii)
LI
(iv)
KM
Question
59
59.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
RT
=
(i)
QT
(ii)
PT
(iii)
SP
(iv)
ST
Question
60
60.
In trapezium
NOPQ
,
NP
and
OQ
are diagonals.
Then
NO
∥
(i)
PQ
(ii)
OQ
(iii)
QN
(iv)
OP
(v)
NP
Question
61
61.
In trapezium
OPQR
,
OQ
and
PR
are diagonals.
Then
QR
∥
(i)
OP
(ii)
PR
(iii)
RO
(iv)
PQ
(v)
OQ
Question
62
62.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
CD
=
(i)
DF
(ii)
DE
(iii)
FC
(iv)
CE
(v)
EF
Question
63
63.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
NK
=
(i)
MN
(ii)
KL
(iii)
LN
(iv)
KM
(v)
LM
Question
64
64.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
LM
=
(i)
NK
(ii)
KL
(iii)
LN
(iv)
MN
(v)
KM
Question
65
65.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
QR
=
(i)
RO
(ii)
OP
(iii)
PQ
(iv)
OQ
(v)
PR
Question
66
66.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠KLM
=
(i)
∠KNL
(ii)
∠KON
(iii)
∠MNL
(iv)
∠KOL
(v)
∠MNK
Question
67
67.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠KLI
=
(i)
∠IML
(ii)
∠IMJ
(iii)
∠IJK
(iv)
∠ILJ
(v)
∠KLJ
Question
68
68.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠LPO
=
(i)
∠LOM
(ii)
∠NOL
(iii)
∠NOM
(iv)
∠LMN
(v)
∠LPM
Question
69
69.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OSP
=
(i)
∠OPQ
(ii)
∠OSR
(iii)
∠QRO
(iv)
∠QRP
(v)
∠ORP
Question
70
70.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△OPM
≅
(i)
△QPM
(ii)
△QON
(iii)
△PNM
(iv)
△ONM
(v)
△PNO
Question
71
71.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△IHG
≅
(i)
△JHG
(ii)
△JHI
(iii)
△KIH
(iv)
△IJG
(v)
△KJG
Question
72
72.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△EDA
≅
(i)
△DBC
(ii)
△ECD
(iii)
△EBA
(iv)
△DBA
(v)
△ECB
Question
73
73.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FCB
≅
(i)
△FEB
(ii)
△ECB
(iii)
△FDC
(iv)
△ECD
(v)
△FDE
Question
74
74.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JHI
≅
(i)
△IGH
(ii)
△JIF
(iii)
△JHG
(iv)
△JGF
(v)
△IGF
Question
75
75.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△LJI
≅
(i)
△KIJ
(ii)
△LJK
(iii)
△LKH
(iv)
△LIH
(v)
△KIH
Question
76
76.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠GDH
=
(i)
∠HFG
(ii)
∠EDH
(iii)
∠DHG
(iv)
∠HFE
(v)
∠GHF
Question
77
77.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠IHL
=
(i)
∠HLK
(ii)
∠KLJ
(iii)
∠KHL
(iv)
∠LJK
(v)
∠LJI
Question
78
78.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠LJK
=
(i)
∠HLK
(ii)
∠IHL
(iii)
∠LJI
(iv)
∠KHL
(v)
∠KLJ
Question
79
79.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠HFE
=
(i)
∠HFG
(ii)
∠GDH
(iii)
∠DHG
(iv)
∠EDH
(v)
∠GHF
Assignment Key
1) (v)
2) (i)
3) (iv)
4) (iv)
5) (v)
6) (iv)
7) (iii)
8) (ii)
9) (iii)
10) (iv)
11) (ii)
12) (iv)
13) (iv)
14) (v)
15) (iv)
16) (iv)
17) (iii)
18) (i)
19) (v)
20) (iv)
21) (ii)
22) (i)
23) (iii)
24) (ii)
25) (iii)
26) (iii)
27) (iv)
28) (iv)
29) (iv)
30) (ii)
31) (ii)
32) (iv)
33) (ii)
34) (ii)
35) (ii)
36) (iii)
37) (ii)
38) (iii)
39) (ii)
40) (iii)
41) (iv)
42) (i)
43) (iv)
44) (i)
45) (ii)
46) (i)
47) (ii)
48) (ii)
49) (iv)
50) (iv)
51) (iv)
52) (i)
53) (iii)
54) (i)
55) (iii)
56) (i)
57) (i)
58) (iv)
59) (ii)
60) (i)
61) (i)
62) (iii)
63) (ii)
64) (iv)
65) (iii)
66) (v)
67) (iii)
68) (v)
69) (ii)
70) (iv)
71) (iv)
72) (iii)
73) (i)
74) (iii)
75) (ii)
76) (ii)
77) (iii)
78) (iii)
79) (i)