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)
square
(iii)
parallelogram
(iv)
trapezium
(v)
rhombus
Question
2
2.
In the given parallelogram, which of the following statements are true?
a)
∠IJK
=
∠KHI
b)
L
is the mid point of
HJ
c)
△IKH
≅
△JKH
d)
∠ILH
=
∠KLJ
e)
IL
=
LH
(i)
{c,a,b}
(ii)
{e,b}
(iii)
{a,b,d}
(iv)
{c,a}
(v)
{c,e,d}
Question
3
3.
In the given parallelogram, which of the following statements are true?
a)
∠ILH
=
∠KLJ
b)
△LKH
≅
△LIJ
c)
HI
∥
JK
d)
IL
=
LH
e)
IL
=
LJ
(i)
{a,b,c}
(ii)
{d,a,b}
(iii)
{d,a}
(iv)
{e,b}
(v)
{d,e,c}
Question
4
4.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
NO
∥
(i)
NP
(ii)
QN
(iii)
OP
(iv)
PQ
(v)
OQ
Question
5
5.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JK
∥
(i)
IJ
(ii)
IK
(iii)
KH
(iv)
HJ
(v)
HI
Question
6
6.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
MJ
∥
(i)
JK
(ii)
KM
(iii)
LM
(iv)
KL
(v)
JL
Question
7
7.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QR
∥
(i)
SP
(ii)
QS
(iii)
PQ
(iv)
RS
(v)
PR
Question
8
8.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
PQ
=
(i)
RS
(ii)
PR
(iii)
SP
(iv)
QR
(v)
QS
Question
9
9.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QR
=
(i)
PQ
(ii)
OP
(iii)
PR
(iv)
RO
(v)
OQ
Question
10
10.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
PM
=
(i)
MO
(ii)
MN
(iii)
NP
(iv)
OP
(v)
NO
Question
11
11.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DE
=
(i)
CD
(ii)
DF
(iii)
CE
(iv)
EF
(v)
FC
Question
12
12.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△SPQ
≅
(i)
△RSP
(ii)
△RST
(iii)
△PQT
(iv)
△PQR
(v)
△QRS
Question
13
13.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△FGH
≅
(i)
△EFG
(ii)
△GHI
(iii)
△HEF
(iv)
△GHE
(v)
△EFI
Question
14
14.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△OPM
≅
(i)
△MNQ
(ii)
△NOP
(iii)
△PMN
(iv)
△MNO
(v)
△OPQ
Question
15
15.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△NOP
≅
(i)
△PQR
(ii)
△QNO
(iii)
△OPQ
(iv)
△NOR
(v)
△PQN
Question
16
16.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
∠QNO
=
(i)
∠NOR
(ii)
∠OPQ
(iii)
∠NOP
(iv)
∠PQR
(v)
∠PQN
Question
17
17.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠IJK
=
(i)
∠JKH
(ii)
∠KHI
(iii)
∠HIL
(iv)
∠HIJ
(v)
∠JKL
Question
18
18.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠OPQ
=
(i)
∠OPS
(ii)
∠PQR
(iii)
∠QRS
(iv)
∠QRO
(v)
∠ROP
Question
19
19.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
∠DEB
=
(i)
∠BCD
(ii)
∠DEF
(iii)
∠CDE
(iv)
∠EBC
(v)
∠BCF
Question
20
20.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
NP
=
(i)
MN
(ii)
LP
(iii)
OP
(iv)
OL
(v)
MP
Question
21
21.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
BF
=
(i)
DF
(ii)
CD
(iii)
CF
(iv)
EB
(v)
EF
Question
22
22.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
HI
=
(i)
FI
(ii)
EI
(iii)
FG
(iv)
GI
(v)
HE
Question
23
23.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
KN
=
(i)
MN
(ii)
LN
(iii)
MJ
(iv)
KL
(v)
JN
Question
24
24.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
NO
∥
(i)
OP
(ii)
OQ
(iii)
QN
(iv)
PQ
Question
25
25.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
GH
∥
(i)
FH
(ii)
EF
(iii)
HE
(iv)
FG
Question
26
26.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
GD
∥
(i)
EF
(ii)
FG
(iii)
DE
(iv)
EG
Question
27
27.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
OP
∥
(i)
OQ
(ii)
NO
(iii)
PQ
(iv)
QN
Question
28
28.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
HI
≠
(i)
KH
(ii)
IJ
(iii)
IK
(iv)
JK
Question
29
29.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
LM
≠
(i)
KM
(ii)
MJ
(iii)
KL
(iv)
JK
Question
30
30.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
FC
≠
(i)
DF
(ii)
EF
(iii)
CD
(iv)
DE
Question
31
31.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
NO
≠
(i)
MN
(ii)
PM
(iii)
OP
(iv)
NP
Question
32
32.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△KHI
≅
(i)
△IJK
(ii)
△JKH
(iii)
△LHI
(iv)
△HIJ
Question
33
33.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△PQR
≅
(i)
△SOP
(ii)
△ROP
(iii)
△QRO
(iv)
△OPQ
Question
34
34.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△DEB
≅
(i)
△FBC
(ii)
△BCD
(iii)
△EBC
(iv)
△CDE
Question
35
35.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△PQR
≅
(i)
△SPQ
(ii)
△QRS
(iii)
△RSP
(iv)
△TPQ
Question
36
36.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MIJ
≇
(i)
△MIL
(ii)
△MKJ
(iii)
△LIJ
(iv)
△MKL
Question
37
37.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MKJ
≇
(i)
△MIL
(ii)
△MKL
(iii)
△LIJ
(iv)
△MIJ
Question
38
38.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QOP
≇
(i)
△PMN
(ii)
△QON
(iii)
△QMN
(iv)
△QMP
Question
39
39.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OKN
≇
(i)
△NKL
(ii)
△OML
(iii)
△OKL
(iv)
△OMN
Question
40
40.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠DAB
=
(i)
∠CDA
(ii)
∠BCD
(iii)
∠ABE
(iv)
∠ABC
Question
41
41.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DEF
=
(i)
∠FCD
(ii)
∠EFC
(iii)
∠CDG
(iv)
∠CDE
Question
42
42.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EFG
=
(i)
∠FGH
(ii)
∠EFI
(iii)
∠GHE
(iv)
∠HEF
Question
43
43.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠JKH
=
(i)
∠KHI
(ii)
∠IJK
(iii)
∠HIL
(iv)
∠HIJ
Question
44
44.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠PSO
≠
(i)
∠RSQ
(ii)
∠ROP
(iii)
∠OSR
(iv)
∠QSP
Question
45
45.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠DEC
≠
(i)
∠CEB
(ii)
∠BEA
(iii)
∠AED
(iv)
∠DAB
Question
46
46.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠OSR
≠
(i)
∠ROP
(ii)
∠PSO
(iii)
∠QSP
(iv)
∠RSQ
Question
47
47.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠JLI
≠
(i)
∠KHI
(ii)
∠ILH
(iii)
∠HLK
(iv)
∠KLJ
Question
48
48.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠IEF
≠
(i)
∠HEI
(ii)
∠IGH
(iii)
∠EIH
(iv)
∠FGI
Question
49
49.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TRS
≠
(i)
∠QRT
(ii)
∠TPQ
(iii)
∠PTS
(iv)
∠SPT
Question
50
50.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MJN
≠
(i)
∠JNM
(ii)
∠NLM
(iii)
∠NJK
(iv)
∠KLN
Question
51
51.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠OPR
≠
(i)
∠NRQ
(ii)
∠RPQ
(iii)
∠RNO
(iv)
∠QNR
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
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠LIJ
≠
(i)
∠KLJ
(ii)
∠JKL
(iii)
∠LKH
(iv)
∠HIL
Question
54
54.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠MNQ
≠
(i)
∠QNO
(ii)
∠PQO
(iii)
∠QPM
(iv)
∠OPQ
Question
55
55.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠MNO
≠
(i)
∠OLM
(ii)
∠KLO
(iii)
∠ONK
(iv)
∠NOM
Question
56
56.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
FG
=
(i)
CG
(ii)
DG
(iii)
FC
(iv)
EG
Question
57
57.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
QT
=
(i)
PT
(ii)
ST
(iii)
RT
(iv)
SP
Question
58
58.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
IM
=
(i)
LM
(ii)
LI
(iii)
KM
(iv)
JM
Question
59
59.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
PR
=
(i)
QN
(ii)
OR
(iii)
NR
(iv)
QR
Question
60
60.
In trapezium
GHIJ
,
GI
and
HJ
are diagonals.
Then
GH
∥
(i)
JG
(ii)
HI
(iii)
HJ
(iv)
IJ
(v)
GI
Question
61
61.
In trapezium
CDEF
,
CE
and
DF
are diagonals.
Then
EF
∥
(i)
FC
(ii)
CD
(iii)
CE
(iv)
DE
(v)
DF
Question
62
62.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
MN
=
(i)
PM
(ii)
MO
(iii)
OP
(iv)
NO
(v)
NP
Question
63
63.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
LI
=
(i)
JK
(ii)
IJ
(iii)
IK
(iv)
JL
(v)
KL
Question
64
64.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
LM
=
(i)
KM
(ii)
NK
(iii)
MN
(iv)
LN
(v)
KL
Question
65
65.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
OP
=
(i)
MN
(ii)
PM
(iii)
NP
(iv)
NO
(v)
MO
Question
66
66.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CDE
=
(i)
∠EFC
(ii)
∠CGF
(iii)
∠CGD
(iv)
∠CFD
(v)
∠EFD
Question
67
67.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠IJG
=
(i)
∠GJH
(ii)
∠GKH
(iii)
∠GKJ
(iv)
∠IJH
(v)
∠GHI
Question
68
68.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠KON
=
(i)
∠MNL
(ii)
∠MNK
(iii)
∠KLM
(iv)
∠KOL
(v)
∠KNL
Question
69
69.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠KOL
=
(i)
∠MNL
(ii)
∠KLM
(iii)
∠KNL
(iv)
∠KON
(v)
∠MNK
Question
70
70.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△MNK
≅
(i)
△ONK
(ii)
△NLM
(iii)
△MLK
(iv)
△OML
(v)
△NLK
Question
71
71.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△IHG
≅
(i)
△JHG
(ii)
△KIH
(iii)
△IJG
(iv)
△JHI
(v)
△KJG
Question
72
72.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SRO
≅
(i)
△RPQ
(ii)
△SQP
(iii)
△RPO
(iv)
△SQR
(v)
△SPO
Question
73
73.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SPO
≅
(i)
△SQR
(ii)
△RPQ
(iii)
△SQP
(iv)
△RPO
(v)
△SRO
Question
74
74.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JHI
≅
(i)
△JIF
(ii)
△IGH
(iii)
△JGF
(iv)
△IGF
(v)
△JHG
Question
75
75.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GED
≅
(i)
△FDC
(ii)
△GFC
(iii)
△GEF
(iv)
△GDC
(v)
△FDE
Question
76
76.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠JGK
=
(i)
∠KIJ
(ii)
∠JKI
(iii)
∠GKJ
(iv)
∠KIH
(v)
∠HGK
Question
77
77.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠DCG
=
(i)
∠CGF
(ii)
∠FCG
(iii)
∠GEF
(iv)
∠GED
(v)
∠FGE
Question
78
78.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠RPQ
=
(i)
∠QRP
(ii)
∠NRQ
(iii)
∠ONR
(iv)
∠RPO
(v)
∠QNR
Question
79
79.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠ECB
=
(i)
∠ECD
(ii)
∠DAE
(iii)
∠BAE
(iv)
∠DEC
(v)
∠AED
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (iv)
5) (v)
6) (iv)
7) (i)
8) (i)
9) (ii)
10) (v)
11) (v)
12) (v)
13) (iii)
14) (iv)
15) (v)
16) (ii)
17) (ii)
18) (iv)
19) (i)
20) (ii)
21) (i)
22) (i)
23) (i)
24) (iv)
25) (ii)
26) (i)
27) (iv)
28) (iii)
29) (i)
30) (i)
31) (iv)
32) (i)
33) (ii)
34) (ii)
35) (iii)
36) (iii)
37) (iii)
38) (i)
39) (i)
40) (ii)
41) (i)
42) (iii)
43) (iv)
44) (ii)
45) (iv)
46) (i)
47) (i)
48) (iii)
49) (iii)
50) (i)
51) (i)
52) (i)
53) (i)
54) (ii)
55) (iv)
56) (ii)
57) (ii)
58) (iii)
59) (iii)
60) (iv)
61) (ii)
62) (i)
63) (ii)
64) (iii)
65) (iv)
66) (i)
67) (v)
68) (iv)
69) (iv)
70) (iii)
71) (iii)
72) (v)
73) (v)
74) (v)
75) (iii)
76) (v)
77) (ii)
78) (iv)
79) (i)