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)
square
(iii)
rhombus
(iv)
rectangle
(v)
parallelogram
Question
2
2.
In the given parallelogram, which of the following statements are true?
a)
∠QRS
=
∠SPQ
b)
QT
=
TR
c)
SP
∥
QR
d)
PQ
∥
RS
e)
△QSP
≅
△RSP
(i)
{e,c}
(ii)
{b,a}
(iii)
{b,e,d}
(iv)
{b,a,c}
(v)
{a,c,d}
Question
3
3.
In the given parallelogram, which of the following statements are true?
a)
∠ORN
=
∠QRP
b)
△OQN
≅
△PQN
c)
QN
∥
OP
d)
OR
=
RN
e)
R
is the mid point of
OQ
(i)
{b,d,e}
(ii)
{a,c,e}
(iii)
{b,a,c}
(iv)
{b,a}
(v)
{d,c}
Question
4
4.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
AB
∥
(i)
BD
(ii)
BC
(iii)
AC
(iv)
DA
(v)
CD
Question
5
5.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JK
∥
(i)
IK
(ii)
HJ
(iii)
KH
(iv)
IJ
(v)
HI
Question
6
6.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
DA
∥
(i)
AC
(ii)
CD
(iii)
AB
(iv)
BD
(v)
BC
Question
7
7.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
FG
∥
(i)
HE
(ii)
EF
(iii)
FH
(iv)
GH
(v)
EG
Question
8
8.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CD
=
(i)
DE
(ii)
DF
(iii)
CE
(iv)
FC
(v)
EF
Question
9
9.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OP
=
(i)
PM
(ii)
MN
(iii)
MO
(iv)
NP
(v)
NO
Question
10
10.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
EB
=
(i)
CD
(ii)
CE
(iii)
BC
(iv)
DE
(v)
BD
Question
11
11.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QR
=
(i)
PQ
(ii)
QS
(iii)
PR
(iv)
RS
(v)
SP
Question
12
12.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
△DAB
≅
(i)
△BCD
(ii)
△ABE
(iii)
△ABC
(iv)
△CDE
(v)
△CDA
Question
13
13.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△HIJ
≅
(i)
△GHI
(ii)
△GHK
(iii)
△IJK
(iv)
△IJG
(v)
△JGH
Question
14
14.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△IJG
≅
(i)
△GHI
(ii)
△GHK
(iii)
△JGH
(iv)
△HIJ
(v)
△IJK
Question
15
15.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△MNO
≅
(i)
△MNQ
(ii)
△PMN
(iii)
△OPM
(iv)
△NOP
(v)
△OPQ
Question
16
16.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠PMN
=
(i)
∠MNO
(ii)
∠MNQ
(iii)
∠NOP
(iv)
∠OPM
(v)
∠OPQ
Question
17
17.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
∠FGH
=
(i)
∠HEF
(ii)
∠EFG
(iii)
∠GHI
(iv)
∠EFI
(v)
∠GHE
Question
18
18.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠PQR
=
(i)
∠SPQ
(ii)
∠QRS
(iii)
∠RSP
(iv)
∠PQT
(v)
∠RST
Question
19
19.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
∠DEB
=
(i)
∠CDE
(ii)
∠BCD
(iii)
∠BCF
(iv)
∠EBC
(v)
∠DEF
Question
20
20.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
EG
=
(i)
CG
(ii)
DE
(iii)
FG
(iv)
DG
(v)
FC
Question
21
21.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
OS
=
(i)
PS
(ii)
PQ
(iii)
RS
(iv)
QS
(v)
RO
Question
22
22.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
KL
=
(i)
IL
(ii)
KH
(iii)
JL
(iv)
IJ
(v)
HL
Question
23
23.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BE
=
(i)
BC
(ii)
DA
(iii)
AE
(iv)
CE
(v)
DE
Question
24
24.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
IJ
∥
(i)
KL
(ii)
LI
(iii)
JL
(iv)
JK
Question
25
25.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
PQ
∥
(i)
NO
(ii)
OP
(iii)
QN
(iv)
OQ
Question
26
26.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
GD
∥
(i)
EG
(ii)
FG
(iii)
DE
(iv)
EF
Question
27
27.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
PQ
∥
(i)
PR
(ii)
OP
(iii)
QR
(iv)
RO
Question
28
28.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
BC
≠
(i)
EB
(ii)
CD
(iii)
DE
(iv)
CE
Question
29
29.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
FG
≠
(i)
EG
(ii)
DE
(iii)
EF
(iv)
GD
Question
30
30.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
DA
≠
(i)
CD
(ii)
BC
(iii)
AB
(iv)
BD
Question
31
31.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
BC
≠
(i)
AB
(ii)
BD
(iii)
DA
(iv)
CD
Question
32
32.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△SPQ
≅
(i)
△RSP
(ii)
△TPQ
(iii)
△QRS
(iv)
△PQR
Question
33
33.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△KLM
≅
(i)
△JKL
(ii)
△LMJ
(iii)
△NJK
(iv)
△MJK
Question
34
34.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△FGD
≅
(i)
△EFG
(ii)
△DEF
(iii)
△HDE
(iv)
△GDE
Question
35
35.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△FGH
≅
(i)
△IFG
(ii)
△JFG
(iii)
△GHI
(iv)
△HIF
Question
36
36.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IEF
≇
(i)
△HEF
(ii)
△IGF
(iii)
△IEH
(iv)
△IGH
Question
37
37.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△KIH
≇
(i)
△KGH
(ii)
△KIJ
(iii)
△JGH
(iv)
△KGJ
Question
38
38.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△RPQ
≇
(i)
△RNO
(ii)
△RNQ
(iii)
△RPO
(iv)
△QNO
Question
39
39.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△EAD
≇
(i)
△EAB
(ii)
△ECD
(iii)
△DAB
(iv)
△ECB
Question
40
40.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠GDE
=
(i)
∠DEH
(ii)
∠FGD
(iii)
∠EFG
(iv)
∠DEF
Question
41
41.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DEF
=
(i)
∠FCD
(ii)
∠EFC
(iii)
∠CDE
(iv)
∠CDG
Question
42
42.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠MNO
=
(i)
∠PMN
(ii)
∠NOP
(iii)
∠OPM
(iv)
∠MNQ
Question
43
43.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠RSP
=
(i)
∠SPQ
(ii)
∠QRS
(iii)
∠PQT
(iv)
∠PQR
Question
44
44.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠KNJ
≠
(i)
∠MNL
(ii)
∠JNM
(iii)
∠LNK
(iv)
∠MJK
Question
45
45.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QRP
≠
(i)
∠ORN
(ii)
∠QNO
(iii)
∠PRO
(iv)
∠NRQ
Question
46
46.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠CGF
≠
(i)
∠FGE
(ii)
∠EGD
(iii)
∠FCD
(iv)
∠DGC
Question
47
47.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠KMJ
≠
(i)
∠LIJ
(ii)
∠LMK
(iii)
∠JMI
(iv)
∠IML
Question
48
48.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TPQ
≠
(i)
∠QRT
(ii)
∠TRS
(iii)
∠SPT
(iv)
∠PTS
Question
49
49.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠GEF
≠
(i)
∠FCG
(ii)
∠GCD
(iii)
∠DEG
(iv)
∠CGF
Question
50
50.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠IFJ
≠
(i)
∠JHI
(ii)
∠GHJ
(iii)
∠JFG
(iv)
∠FJI
Question
51
51.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠FGI
≠
(i)
∠IEF
(ii)
∠HEI
(iii)
∠EIH
(iv)
∠IGH
Question
52
52.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠RQN
≠
(i)
∠PQR
(ii)
∠QRP
(iii)
∠NOR
(iv)
∠ROP
Question
53
53.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠NKL
≠
(i)
∠LMN
(ii)
∠NMJ
(iii)
∠JKN
(iv)
∠MNL
Question
54
54.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠FGJ
≠
(i)
∠JGH
(ii)
∠JIF
(iii)
∠HIJ
(iv)
∠IJH
Question
55
55.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠MNO
≠
(i)
∠ONK
(ii)
∠KLO
(iii)
∠OLM
(iv)
∠NOM
Question
56
56.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
QR
=
(i)
PR
(ii)
OR
(iii)
QN
(iv)
NR
Question
57
57.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
GJ
=
(i)
HJ
(ii)
IJ
(iii)
IF
(iv)
FJ
Question
58
58.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FJ
=
(i)
IF
(ii)
IJ
(iii)
HJ
(iv)
GJ
Question
59
59.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
KM
=
(i)
LI
(ii)
JM
(iii)
IM
(iv)
LM
Question
60
60.
In trapezium
OPQR
,
OQ
and
PR
are diagonals.
Then
OP
∥
(i)
PR
(ii)
PQ
(iii)
QR
(iv)
RO
(v)
OQ
Question
61
61.
In trapezium
LMNO
,
LN
and
MO
are diagonals.
Then
NO
∥
(i)
MO
(ii)
MN
(iii)
LN
(iv)
OL
(v)
LM
Question
62
62.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
IJ
=
(i)
JL
(ii)
LI
(iii)
IK
(iv)
JK
(v)
KL
Question
63
63.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
QN
=
(i)
OP
(ii)
NO
(iii)
OQ
(iv)
NP
(v)
PQ
Question
64
64.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
QR
=
(i)
SP
(ii)
PQ
(iii)
QS
(iv)
RS
(v)
PR
Question
65
65.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
HI
=
(i)
GI
(ii)
FH
(iii)
GH
(iv)
FG
(v)
IF
Question
66
66.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠HIJ
=
(i)
∠JKI
(ii)
∠HLK
(iii)
∠HKI
(iv)
∠HLI
(v)
∠JKH
Question
67
67.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠JKH
=
(i)
∠HKI
(ii)
∠HLK
(iii)
∠HLI
(iv)
∠JKI
(v)
∠HIJ
Question
68
68.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠LPO
=
(i)
∠NOM
(ii)
∠LMN
(iii)
∠LPM
(iv)
∠NOL
(v)
∠LOM
Question
69
69.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠JNK
=
(i)
∠JKL
(ii)
∠JNM
(iii)
∠LMJ
(iv)
∠LMK
(v)
∠JMK
Question
70
70.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△OPM
≅
(i)
△PNO
(ii)
△ONM
(iii)
△QPM
(iv)
△PNM
(v)
△QON
Question
71
71.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△LKJ
≅
(i)
△NLK
(ii)
△NMJ
(iii)
△MKJ
(iv)
△MKL
(v)
△LMJ
Question
72
72.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△POL
≅
(i)
△PNO
(ii)
△OML
(iii)
△PNM
(iv)
△PML
(v)
△OMN
Question
73
73.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KHG
≅
(i)
△KJG
(ii)
△KIJ
(iii)
△JHI
(iv)
△KIH
(v)
△JHG
Question
74
74.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TRS
≅
(i)
△TQP
(ii)
△TRQ
(iii)
△SQR
(iv)
△TSP
(v)
△SQP
Question
75
75.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△ECB
≅
(i)
△DBC
(ii)
△ECD
(iii)
△DBA
(iv)
△EDA
(v)
△EBA
Question
76
76.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠DAE
=
(i)
∠AED
(ii)
∠ECD
(iii)
∠ECB
(iv)
∠DEC
(v)
∠BAE
Question
77
77.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠FEI
=
(i)
∠IGH
(ii)
∠HIG
(iii)
∠IGF
(iv)
∠HEI
(v)
∠EIH
Question
78
78.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠NLM
=
(i)
∠JNM
(ii)
∠NLK
(iii)
∠MNL
(iv)
∠MJN
(v)
∠KJN
Question
79
79.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠JHG
=
(i)
∠IFJ
(ii)
∠JHI
(iii)
∠GFJ
(iv)
∠IJH
(v)
∠FJI
Assignment Key
1) (ii)
2) (v)
3) (ii)
4) (v)
5) (v)
6) (v)
7) (i)
8) (v)
9) (ii)
10) (i)
11) (v)
12) (i)
13) (v)
14) (i)
15) (iii)
16) (iii)
17) (i)
18) (iii)
19) (ii)
20) (i)
21) (iv)
22) (i)
23) (v)
24) (i)
25) (i)
26) (iv)
27) (iv)
28) (iv)
29) (i)
30) (iv)
31) (ii)
32) (iii)
33) (iv)
34) (ii)
35) (iv)
36) (i)
37) (iii)
38) (iv)
39) (iii)
40) (iii)
41) (i)
42) (iii)
43) (iv)
44) (iv)
45) (ii)
46) (iii)
47) (i)
48) (iv)
49) (iv)
50) (iv)
51) (iii)
52) (ii)
53) (iv)
54) (iv)
55) (iv)
56) (ii)
57) (ii)
58) (iii)
59) (iii)
60) (iii)
61) (v)
62) (ii)
63) (ii)
64) (iv)
65) (iii)
66) (v)
67) (v)
68) (iii)
69) (ii)
70) (ii)
71) (v)
72) (iv)
73) (i)
74) (ii)
75) (ii)
76) (v)
77) (iv)
78) (ii)
79) (ii)