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)
rectangle
(iii)
square
(iv)
rhombus
(v)
trapezium
Question
2
2.
In the given parallelogram, which of the following statements are true?
a)
△DFC
≅
△EFC
b)
△GCD
≅
△GEF
c)
∠DEF
=
∠FCD
d)
CD
∥
EF
e)
DG
=
GC
(i)
{a,b}
(ii)
{a,b,c}
(iii)
{b,c,d}
(iv)
{e,c}
(v)
{a,e,d}
Question
3
3.
In the given parallelogram, which of the following statements are true?
a)
O
is the mid point of
KM
b)
O
is the mid point of
LN
c)
LO
=
OK
d)
NK
∥
LM
e)
△LNK
≅
△MNK
(i)
{a,b,d}
(ii)
{e,b}
(iii)
{c,a,b}
(iv)
{c,e,d}
(v)
{c,a}
Question
4
4.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
∥
(i)
HE
(ii)
FH
(iii)
GH
(iv)
FG
(v)
EG
Question
5
5.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
LM
∥
(i)
JL
(ii)
KM
(iii)
KL
(iv)
JK
(v)
MJ
Question
6
6.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
∥
(i)
MN
(ii)
NO
(iii)
LM
(iv)
MO
(v)
LN
Question
7
7.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
∥
(i)
HJ
(ii)
KH
(iii)
IK
(iv)
JK
(v)
HI
Question
8
8.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
FG
=
(i)
GI
(ii)
GH
(iii)
IF
(iv)
HI
(v)
FH
Question
9
9.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HI
=
(i)
FH
(ii)
GH
(iii)
GI
(iv)
IF
(v)
FG
Question
10
10.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
MJ
=
(i)
JL
(ii)
LM
(iii)
KM
(iv)
JK
(v)
KL
Question
11
11.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
=
(i)
JK
(ii)
KH
(iii)
HJ
(iv)
IK
(v)
HI
Question
12
12.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△IFG
≅
(i)
△FGJ
(ii)
△FGH
(iii)
△HIF
(iv)
△HIJ
(v)
△GHI
Question
13
13.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△NOP
≅
(i)
△OPQ
(ii)
△PMN
(iii)
△OPM
(iv)
△MNO
(v)
△MNQ
Question
14
14.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△OPM
≅
(i)
△PMN
(ii)
△OPQ
(iii)
△MNQ
(iv)
△NOP
(v)
△MNO
Question
15
15.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△NOP
≅
(i)
△QNO
(ii)
△PQR
(iii)
△PQN
(iv)
△OPQ
(v)
△NOR
Question
16
16.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠SPQ
=
(i)
∠QRS
(ii)
∠RSP
(iii)
∠PQR
(iv)
∠PQT
(v)
∠RST
Question
17
17.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠GHI
=
(i)
∠HIJ
(ii)
∠IFG
(iii)
∠FGJ
(iv)
∠FGH
(v)
∠HIF
Question
18
18.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠MNO
=
(i)
∠NOP
(ii)
∠MNQ
(iii)
∠OPQ
(iv)
∠OPM
(v)
∠PMN
Question
19
19.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
∠CDA
=
(i)
∠ABC
(ii)
∠DAB
(iii)
∠CDE
(iv)
∠ABE
(v)
∠BCD
Question
20
20.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
KM
=
(i)
LI
(ii)
IM
(iii)
JK
(iv)
JM
(v)
LM
Question
21
21.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CG
=
(i)
DE
(ii)
DG
(iii)
EG
(iv)
FC
(v)
FG
Question
22
22.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
MN
=
(i)
LN
(ii)
KN
(iii)
JN
(iv)
KL
(v)
MJ
Question
23
23.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
OR
=
(i)
QR
(ii)
OP
(iii)
PR
(iv)
NR
(v)
QN
Question
24
24.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GH
∥
(i)
IJ
(ii)
HI
(iii)
HJ
(iv)
JG
Question
25
25.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
RS
∥
(i)
QR
(ii)
QS
(iii)
PQ
(iv)
SP
Question
26
26.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
LI
∥
(i)
IJ
(ii)
JK
(iii)
JL
(iv)
KL
Question
27
27.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
CD
∥
(i)
EB
(ii)
CE
(iii)
BC
(iv)
DE
Question
28
28.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
EF
≠
(i)
HE
(ii)
FG
(iii)
FH
(iv)
GH
Question
29
29.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
PQ
≠
(i)
NO
(ii)
OQ
(iii)
OP
(iv)
QN
Question
30
30.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
NK
≠
(i)
LN
(ii)
MN
(iii)
KL
(iv)
LM
Question
31
31.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
BC
≠
(i)
BD
(ii)
CD
(iii)
DA
(iv)
AB
Question
32
32.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△SPQ
≅
(i)
△PQR
(ii)
△TPQ
(iii)
△QRS
(iv)
△RSP
Question
33
33.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△LMN
≅
(i)
△NKL
(ii)
△MNK
(iii)
△KLM
(iv)
△OKL
Question
34
34.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△IJG
≅
(i)
△JGH
(ii)
△HIJ
(iii)
△KGH
(iv)
△GHI
Question
35
35.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△IJK
≅
(i)
△JKL
(ii)
△MIJ
(iii)
△LIJ
(iv)
△KLI
Question
36
36.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SOP
≇
(i)
△SQR
(ii)
△SQP
(iii)
△ROP
(iv)
△SOR
Question
37
37.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OML
≇
(i)
△OKL
(ii)
△OMN
(iii)
△OKN
(iv)
△NKL
Question
38
38.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IGH
≇
(i)
△IEF
(ii)
△HEF
(iii)
△IGF
(iv)
△IEH
Question
39
39.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△KGJ
≇
(i)
△JGH
(ii)
△KIJ
(iii)
△KGH
(iv)
△KIH
Question
40
40.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠IFG
=
(i)
∠FGH
(ii)
∠FGJ
(iii)
∠GHI
(iv)
∠HIF
Question
41
41.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠FGH
=
(i)
∠EFI
(ii)
∠HEF
(iii)
∠EFG
(iv)
∠GHE
Question
42
42.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EFG
=
(i)
∠HEF
(ii)
∠FGH
(iii)
∠EFI
(iv)
∠GHE
Question
43
43.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠EFC
=
(i)
∠FCD
(ii)
∠DEF
(iii)
∠CDG
(iv)
∠CDE
Question
44
44.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠BEA
≠
(i)
∠AED
(ii)
∠CEB
(iii)
∠DEC
(iv)
∠DAB
Question
45
45.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠LMK
≠
(i)
∠KMJ
(ii)
∠IML
(iii)
∠JMI
(iv)
∠LIJ
Question
46
46.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠OSR
≠
(i)
∠QSP
(ii)
∠RSQ
(iii)
∠ROP
(iv)
∠PSO
Question
47
47.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠GIF
≠
(i)
∠FIE
(ii)
∠HEF
(iii)
∠EIH
(iv)
∠HIG
Question
48
48.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠JFG
≠
(i)
∠JHI
(ii)
∠FJI
(iii)
∠GHJ
(iv)
∠IFJ
Question
49
49.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠FDE
≠
(i)
∠CDF
(ii)
∠BFE
(iii)
∠FBC
(iv)
∠EBF
Question
50
50.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MJN
≠
(i)
∠JNM
(ii)
∠NLM
(iii)
∠KLN
(iv)
∠NJK
Question
51
51.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠LMO
≠
(i)
∠NKO
(ii)
∠KON
(iii)
∠OKL
(iv)
∠OMN
Question
52
52.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠GFC
≠
(i)
∠GDE
(ii)
∠FGE
(iii)
∠CDG
(iv)
∠EFG
Question
53
53.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠HEF
≠
(i)
∠HGD
(ii)
∠GHF
(iii)
∠DEH
(iv)
∠FGH
Question
54
54.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠ABE
≠
(i)
∠EBC
(ii)
∠CDE
(iii)
∠DEC
(iv)
∠EDA
Question
55
55.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠GHI
≠
(i)
∠IHE
(ii)
∠EFI
(iii)
∠HIG
(iv)
∠IFG
Question
56
56.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
HI
=
(i)
HE
(ii)
EI
(iii)
GI
(iv)
FI
Question
57
57.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
BE
=
(i)
DA
(ii)
DE
(iii)
CE
(iv)
AE
Question
58
58.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FJ
=
(i)
GJ
(ii)
IF
(iii)
IJ
(iv)
HJ
Question
59
59.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
OQ
=
(i)
MQ
(ii)
PQ
(iii)
NQ
(iv)
PM
Question
60
60.
In trapezium
FGHI
,
FH
and
GI
are diagonals.
Then
FG
∥
(i)
FH
(ii)
IF
(iii)
GI
(iv)
HI
(v)
GH
Question
61
61.
In trapezium
LMNO
,
LN
and
MO
are diagonals.
Then
NO
∥
(i)
LM
(ii)
MO
(iii)
MN
(iv)
OL
(v)
LN
Question
62
62.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
KL
=
(i)
LN
(ii)
KM
(iii)
NK
(iv)
MN
(v)
LM
Question
63
63.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
JG
=
(i)
IJ
(ii)
GI
(iii)
HJ
(iv)
HI
(v)
GH
Question
64
64.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
HI
=
(i)
HJ
(ii)
JG
(iii)
IJ
(iv)
GH
(v)
GI
Question
65
65.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
PQ
=
(i)
QN
(ii)
OP
(iii)
NP
(iv)
NO
(v)
OQ
Question
66
66.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠EFG
=
(i)
∠EIH
(ii)
∠GHF
(iii)
∠GHE
(iv)
∠EHF
(v)
∠EIF
Question
67
67.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠GHE
=
(i)
∠EHF
(ii)
∠EFG
(iii)
∠EIF
(iv)
∠GHF
(v)
∠EIH
Question
68
68.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠EIH
=
(i)
∠EFG
(ii)
∠EHF
(iii)
∠EIF
(iv)
∠GHF
(v)
∠GHE
Question
69
69.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠BFC
=
(i)
∠BEC
(ii)
∠DEC
(iii)
∠BCD
(iv)
∠DEB
(v)
∠BFE
Question
70
70.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△KLI
≅
(i)
△LJK
(ii)
△KJI
(iii)
△MLI
(iv)
△MKJ
(v)
△LJI
Question
71
71.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△HGF
≅
(i)
△HIF
(ii)
△JHG
(iii)
△IGF
(iv)
△IGH
(v)
△JIF
Question
72
72.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RQN
≅
(i)
△RON
(ii)
△RPO
(iii)
△QOP
(iv)
△RPQ
(v)
△QON
Question
73
73.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TQP
≅
(i)
△TSP
(ii)
△TRS
(iii)
△SQR
(iv)
△TRQ
(v)
△SQP
Question
74
74.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GEF
≅
(i)
△GFC
(ii)
△GDC
(iii)
△FDE
(iv)
△GED
(v)
△FDC
Question
75
75.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SQP
≅
(i)
△RPQ
(ii)
△RPO
(iii)
△SRO
(iv)
△SPO
(v)
△SQR
Question
76
76.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠PMQ
=
(i)
∠QOP
(ii)
∠PQO
(iii)
∠QON
(iv)
∠MQP
(v)
∠NMQ
Question
77
77.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠QPT
=
(i)
∠TRS
(ii)
∠PTS
(iii)
∠STR
(iv)
∠SPT
(v)
∠TRQ
Question
78
78.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠SQR
=
(i)
∠OSR
(ii)
∠SQP
(iii)
∠POS
(iv)
∠RSQ
(v)
∠ROS
Question
79
79.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠PNM
=
(i)
∠MLP
(ii)
∠LPO
(iii)
∠PNO
(iv)
∠OPN
(v)
∠OLP
Assignment Key
1) (iii)
2) (iii)
3) (i)
4) (iii)
5) (iv)
6) (i)
7) (ii)
8) (iv)
9) (v)
10) (v)
11) (ii)
12) (v)
13) (ii)
14) (v)
15) (iii)
16) (i)
17) (ii)
18) (iv)
19) (i)
20) (ii)
21) (iii)
22) (ii)
23) (i)
24) (i)
25) (iii)
26) (ii)
27) (i)
28) (iii)
29) (ii)
30) (i)
31) (i)
32) (iii)
33) (i)
34) (iv)
35) (iv)
36) (iii)
37) (iv)
38) (ii)
39) (i)
40) (iii)
41) (ii)
42) (iv)
43) (iv)
44) (iv)
45) (iv)
46) (iii)
47) (ii)
48) (ii)
49) (ii)
50) (i)
51) (ii)
52) (ii)
53) (ii)
54) (iii)
55) (iii)
56) (iv)
57) (ii)
58) (iv)
59) (i)
60) (iv)
61) (i)
62) (iii)
63) (v)
64) (iii)
65) (ii)
66) (iii)
67) (ii)
68) (iii)
69) (v)
70) (ii)
71) (i)
72) (i)
73) (i)
74) (iv)
75) (v)
76) (v)
77) (iv)
78) (ii)
79) (iii)