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)
trapezium
(ii)
rectangle
(iii)
rhombus
(iv)
square
(v)
parallelogram
Question
2
2.
In the given parallelogram, which of the following statements are true?
a)
△EDA
≅
△EBC
b)
∠BEA
=
∠DEC
c)
BE
=
EC
d)
△BDA
≅
△CDA
e)
E
is the mid point of
BD
(i)
{c,d,e}
(ii)
{a,b,e}
(iii)
{c,a}
(iv)
{d,b}
(v)
{c,a,b}
Question
3
3.
In the given parallelogram, which of the following statements are true?
a)
E
is the mid point of
AC
b)
△BDA
≅
△CDA
c)
BE
=
EC
d)
DA
∥
BC
e)
E
is the mid point of
BD
(i)
{b,a}
(ii)
{b,c,e}
(iii)
{c,d}
(iv)
{b,a,d}
(v)
{a,d,e}
Question
4
4.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
MN
∥
(i)
NO
(ii)
PM
(iii)
OP
(iv)
NP
(v)
MO
Question
5
5.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HI
∥
(i)
GH
(ii)
IF
(iii)
GI
(iv)
FG
(v)
FH
Question
6
6.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
NK
∥
(i)
MN
(ii)
LM
(iii)
LN
(iv)
KM
(v)
KL
Question
7
7.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QR
∥
(i)
QS
(ii)
RS
(iii)
SP
(iv)
PR
(v)
PQ
Question
8
8.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KL
=
(i)
MN
(ii)
LM
(iii)
KM
(iv)
LN
(v)
NK
Question
9
9.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
DE
=
(i)
CD
(ii)
BD
(iii)
EB
(iv)
BC
(v)
CE
Question
10
10.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
NK
=
(i)
KL
(ii)
KM
(iii)
LM
(iv)
MN
(v)
LN
Question
11
11.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
PQ
=
(i)
OP
(ii)
OQ
(iii)
PR
(iv)
RO
(v)
QR
Question
12
12.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△MJK
≅
(i)
△LMN
(ii)
△KLM
(iii)
△LMJ
(iv)
△JKN
(v)
△JKL
Question
13
13.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
△BCD
≅
(i)
△CDA
(ii)
△ABE
(iii)
△DAB
(iv)
△ABC
(v)
△CDE
Question
14
14.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△QRO
≅
(i)
△QRS
(ii)
△OPS
(iii)
△PQR
(iv)
△ROP
(v)
△OPQ
Question
15
15.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△JKL
≅
(i)
△JKN
(ii)
△MJK
(iii)
△LMJ
(iv)
△KLM
(v)
△LMN
Question
16
16.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠PMN
=
(i)
∠OPQ
(ii)
∠MNO
(iii)
∠NOP
(iv)
∠MNQ
(v)
∠OPM
Question
17
17.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠KLM
=
(i)
∠JKN
(ii)
∠LMJ
(iii)
∠JKL
(iv)
∠MJK
(v)
∠LMN
Question
18
18.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠PQR
=
(i)
∠RSP
(ii)
∠SPQ
(iii)
∠PQT
(iv)
∠RST
(v)
∠QRS
Question
19
19.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠HIF
=
(i)
∠GHI
(ii)
∠FGH
(iii)
∠FGJ
(iv)
∠IFG
(v)
∠HIJ
Question
20
20.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JL
=
(i)
KH
(ii)
KL
(iii)
IL
(iv)
HL
(v)
IJ
Question
21
21.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EI
=
(i)
HE
(ii)
FG
(iii)
HI
(iv)
FI
(v)
GI
Question
22
22.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
FG
=
(i)
CG
(ii)
EG
(iii)
DE
(iv)
FC
(v)
DG
Question
23
23.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
FI
=
(i)
HE
(ii)
FG
(iii)
GI
(iv)
EI
(v)
HI
Question
24
24.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
KL
∥
(i)
MN
(ii)
LM
(iii)
LN
(iv)
NK
Question
25
25.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DE
∥
(i)
BC
(ii)
EB
(iii)
CD
(iv)
CE
Question
26
26.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
HE
∥
(i)
FH
(ii)
EF
(iii)
GH
(iv)
FG
Question
27
27.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
NO
∥
(i)
MN
(ii)
NP
(iii)
PM
(iv)
OP
Question
28
28.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
DE
≠
(i)
EG
(ii)
FG
(iii)
EF
(iv)
GD
Question
29
29.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
OP
≠
(i)
NO
(ii)
MN
(iii)
PM
(iv)
NP
Question
30
30.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RO
≠
(i)
QR
(ii)
PQ
(iii)
OP
(iv)
PR
Question
31
31.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
OP
≠
(i)
NO
(ii)
PQ
(iii)
OQ
(iv)
QN
Question
32
32.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△JGH
≅
(i)
△HIJ
(ii)
△IJG
(iii)
△GHI
(iv)
△KGH
Question
33
33.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△KLM
≅
(i)
△NJK
(ii)
△MJK
(iii)
△JKL
(iv)
△LMJ
Question
34
34.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△MNK
≅
(i)
△NKL
(ii)
△LMN
(iii)
△KLM
(iv)
△OKL
Question
35
35.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△IJK
≅
(i)
△MIJ
(ii)
△KLI
(iii)
△LIJ
(iv)
△JKL
Question
36
36.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△PLM
≇
(i)
△OLM
(ii)
△PLO
(iii)
△PNM
(iv)
△PNO
Question
37
37.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△ECB
≇
(i)
△EAB
(ii)
△ECD
(iii)
△DAB
(iv)
△EAD
Question
38
38.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JHI
≇
(i)
△IFG
(ii)
△JHG
(iii)
△JFG
(iv)
△JFI
Question
39
39.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MIL
≇
(i)
△MKL
(ii)
△MIJ
(iii)
△LIJ
(iv)
△MKJ
Question
40
40.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠ROP
=
(i)
∠QRO
(ii)
∠OPS
(iii)
∠OPQ
(iv)
∠PQR
Question
41
41.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠OPQ
=
(i)
∠NOP
(ii)
∠PQN
(iii)
∠QNO
(iv)
∠NOR
Question
42
42.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠GHI
=
(i)
∠IJG
(ii)
∠GHK
(iii)
∠JGH
(iv)
∠HIJ
Question
43
43.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IJG
=
(i)
∠JGH
(ii)
∠GHI
(iii)
∠HIJ
(iv)
∠GHK
Question
44
44.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠MPL
≠
(i)
∠OLM
(ii)
∠LPO
(iii)
∠NPM
(iv)
∠OPN
Question
45
45.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QRP
≠
(i)
∠ORN
(ii)
∠NRQ
(iii)
∠QNO
(iv)
∠PRO
Question
46
46.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EIH
≠
(i)
∠GIF
(ii)
∠FIE
(iii)
∠HIG
(iv)
∠HEF
Question
47
47.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠KMJ
≠
(i)
∠LIJ
(ii)
∠JMI
(iii)
∠IML
(iv)
∠LMK
Question
48
48.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠JFG
≠
(i)
∠IFJ
(ii)
∠GHJ
(iii)
∠JHI
(iv)
∠FJI
Question
49
49.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SQR
≠
(i)
∠PQS
(ii)
∠OSR
(iii)
∠ROS
(iv)
∠SOP
Question
50
50.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠JGK
≠
(i)
∠KGH
(ii)
∠HIK
(iii)
∠KIJ
(iv)
∠GKJ
Question
51
51.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠MNP
≠
(i)
∠OLP
(ii)
∠PLM
(iii)
∠PNO
(iv)
∠LPO
Question
52
52.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TSP
≠
(i)
∠RST
(ii)
∠PQT
(iii)
∠STR
(iv)
∠TQR
Question
53
53.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EBC
≠
(i)
∠DEC
(ii)
∠CDE
(iii)
∠ABE
(iv)
∠EDA
Question
54
54.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠BCF
≠
(i)
∠EFD
(ii)
∠FEB
(iii)
∠DEF
(iv)
∠FCD
Question
55
55.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠RST
≠
(i)
∠TQR
(ii)
∠TSP
(iii)
∠PQT
(iv)
∠STR
Question
56
56.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OP
=
(i)
MP
(ii)
NP
(iii)
OL
(iv)
LP
Question
57
57.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
HK
=
(i)
IK
(ii)
GK
(iii)
JK
(iv)
JG
Question
58
58.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
EI
=
(i)
HE
(ii)
HI
(iii)
GI
(iv)
FI
Question
59
59.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
NP
=
(i)
MP
(ii)
OP
(iii)
OL
(iv)
LP
Question
60
60.
In trapezium
HIJK
,
HJ
and
IK
are diagonals.
Then
HI
∥
(i)
IK
(ii)
JK
(iii)
KH
(iv)
IJ
(v)
HJ
Question
61
61.
In trapezium
OPQR
,
OQ
and
PR
are diagonals.
Then
QR
∥
(i)
OP
(ii)
PR
(iii)
OQ
(iv)
PQ
(v)
RO
Question
62
62.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
DE
=
(i)
EG
(ii)
DF
(iii)
FG
(iv)
EF
(v)
GD
Question
63
63.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
FC
=
(i)
CD
(ii)
CE
(iii)
EF
(iv)
DE
(v)
DF
Question
64
64.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
BC
=
(i)
DA
(ii)
AC
(iii)
AB
(iv)
CD
(v)
BD
Question
65
65.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
EF
=
(i)
CE
(ii)
DE
(iii)
FC
(iv)
DF
(v)
CD
Question
66
66.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OPQ
=
(i)
∠OSR
(ii)
∠ORP
(iii)
∠OSP
(iv)
∠QRO
(v)
∠QRP
Question
67
67.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠KLI
=
(i)
∠IMJ
(ii)
∠KLJ
(iii)
∠IML
(iv)
∠IJK
(v)
∠ILJ
Question
68
68.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OSR
=
(i)
∠OSP
(ii)
∠OPQ
(iii)
∠ORP
(iv)
∠QRO
(v)
∠QRP
Question
69
69.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠AEB
=
(i)
∠CDB
(ii)
∠ADB
(iii)
∠AED
(iv)
∠CDA
(v)
∠ABC
Question
70
70.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△HIF
≅
(i)
△JIF
(ii)
△IGH
(iii)
△JHG
(iv)
△IGF
(v)
△HGF
Question
71
71.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△FED
≅
(i)
△GED
(ii)
△HFE
(iii)
△GEF
(iv)
△HGD
(v)
△FGD
Question
72
72.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KJG
≅
(i)
△JHI
(ii)
△KIJ
(iii)
△KHG
(iv)
△JHG
(v)
△KIH
Question
73
73.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SPO
≅
(i)
△SRO
(ii)
△RPQ
(iii)
△SQP
(iv)
△RPO
(v)
△SQR
Question
74
74.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△NLM
≅
(i)
△NMJ
(ii)
△NKJ
(iii)
△MKJ
(iv)
△MKL
(v)
△NLK
Question
75
75.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TRQ
≅
(i)
△TQP
(ii)
△SQR
(iii)
△TSP
(iv)
△SQP
(v)
△TRS
Question
76
76.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠KHL
=
(i)
∠IHL
(ii)
∠HLK
(iii)
∠LJK
(iv)
∠KLJ
(v)
∠LJI
Question
77
77.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠QPT
=
(i)
∠TRQ
(ii)
∠SPT
(iii)
∠PTS
(iv)
∠STR
(v)
∠TRS
Question
78
78.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠ECD
=
(i)
∠DAE
(ii)
∠DEC
(iii)
∠AED
(iv)
∠ECB
(v)
∠BAE
Question
79
79.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠JHG
=
(i)
∠FJI
(ii)
∠IJH
(iii)
∠IFJ
(iv)
∠GFJ
(v)
∠JHI
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (iii)
5) (iv)
6) (ii)
7) (iii)
8) (i)
9) (iv)
10) (iii)
11) (iv)
12) (ii)
13) (iii)
14) (v)
15) (iii)
16) (iii)
17) (iv)
18) (i)
19) (ii)
20) (iv)
21) (v)
22) (v)
23) (v)
24) (i)
25) (i)
26) (iv)
27) (iii)
28) (i)
29) (iv)
30) (iv)
31) (iii)
32) (i)
33) (ii)
34) (iii)
35) (ii)
36) (i)
37) (iii)
38) (i)
39) (iii)
40) (iv)
41) (iii)
42) (i)
43) (ii)
44) (i)
45) (iii)
46) (iv)
47) (i)
48) (iv)
49) (ii)
50) (iv)
51) (iv)
52) (iii)
53) (i)
54) (i)
55) (iv)
56) (i)
57) (iii)
58) (iii)
59) (iv)
60) (ii)
61) (i)
62) (v)
63) (i)
64) (iv)
65) (ii)
66) (iv)
67) (iv)
68) (i)
69) (iii)
70) (v)
71) (v)
72) (iii)
73) (i)
74) (v)
75) (v)
76) (i)
77) (ii)
78) (iv)
79) (v)