EduSahara™ Assignment
Name : Quadrilateral Properties Using Diagrams
Chapter : Quadrilaterals
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In the given parallelogram, which of the following statements are true?
a)
△QPM
≅
△QNO
b)
NQ
=
QM
c)
△NPM
≅
△OPM
d)
Q
is the mid point of
NP
e)
PM
∥
NO
(i)
{b,c,e}
(ii)
{a,d,e}
(iii)
{b,a,d}
(iv)
{c,d}
(v)
{b,a}
Question
2
2.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
∥
(i)
GH
(ii)
FG
(iii)
FH
(iv)
HE
(v)
EG
Question
3
3.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
MN
∥
(i)
LM
(ii)
NK
(iii)
KL
(iv)
LN
(v)
KM
Question
4
4.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
SP
∥
(i)
PR
(ii)
RS
(iii)
QS
(iv)
PQ
(v)
QR
Question
5
5.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
∥
(i)
KH
(ii)
HI
(iii)
JK
(iv)
HJ
(v)
IK
Question
6
6.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
IJ
=
(i)
LI
(ii)
JL
(iii)
KL
(iv)
IK
(v)
JK
Question
7
7.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HI
=
(i)
GI
(ii)
FG
(iii)
FH
(iv)
IF
(v)
GH
Question
8
8.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
EB
=
(i)
BC
(ii)
DE
(iii)
CD
(iv)
CE
(v)
BD
Question
9
9.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
=
(i)
HI
(ii)
IK
(iii)
KH
(iv)
JK
(v)
HJ
Question
10
10.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△JGH
≅
(i)
△GHI
(ii)
△GHK
(iii)
△HIJ
(iv)
△IJG
(v)
△IJK
Question
11
11.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△QRS
≅
(i)
△PQT
(ii)
△SPQ
(iii)
△RSP
(iv)
△RST
(v)
△PQR
Question
12
12.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△FGD
≅
(i)
△GDE
(ii)
△EFG
(iii)
△DEH
(iv)
△DEF
(v)
△FGH
Question
13
13.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△EFG
≅
(i)
△HEF
(ii)
△GHE
(iii)
△FGH
(iv)
△EFI
(v)
△GHI
Question
14
14.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
∠FCD
=
(i)
∠CDE
(ii)
∠EFC
(iii)
∠EFG
(iv)
∠CDG
(v)
∠DEF
Question
15
15.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠JKL
=
(i)
∠KLM
(ii)
∠IJK
(iii)
∠IJM
(iv)
∠LIJ
(v)
∠KLI
Question
16
16.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠PQR
=
(i)
∠RST
(ii)
∠SPQ
(iii)
∠RSP
(iv)
∠QRS
(v)
∠PQT
Question
17
17.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠RSP
=
(i)
∠PQT
(ii)
∠RST
(iii)
∠QRS
(iv)
∠SPQ
(v)
∠PQR
Question
18
18.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
DF
=
(i)
EF
(ii)
BF
(iii)
EB
(iv)
CF
(v)
CD
Question
19
19.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
IM
=
(i)
KM
(ii)
LI
(iii)
JM
(iv)
LM
(v)
JK
Question
20
20.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
LM
=
(i)
IM
(ii)
KM
(iii)
JK
(iv)
JM
(v)
LI
Question
21
21.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GJ
=
(i)
FJ
(ii)
IJ
(iii)
HJ
(iv)
GH
(v)
IF
Question
22
22.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
JK
∥
(i)
MJ
(ii)
KM
(iii)
KL
(iv)
LM
Question
23
23.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
HI
∥
(i)
IF
(ii)
FG
(iii)
GH
(iv)
GI
Question
24
24.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
MJ
∥
(i)
KM
(ii)
JK
(iii)
KL
(iv)
LM
Question
25
25.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
FG
∥
(i)
GH
(ii)
FH
(iii)
HE
(iv)
EF
Question
26
26.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GH
≠
(i)
IJ
(ii)
HJ
(iii)
HI
(iv)
JG
Question
27
27.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DE
≠
(i)
CD
(ii)
CE
(iii)
EB
(iv)
BC
Question
28
28.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
HE
≠
(i)
FG
(ii)
GH
(iii)
FH
(iv)
EF
Question
29
29.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
PQ
≠
(i)
PR
(ii)
QR
(iii)
RO
(iv)
OP
Question
30
30.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△JGH
≅
(i)
△IJG
(ii)
△HIJ
(iii)
△KGH
(iv)
△GHI
Question
31
31.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△DEF
≅
(i)
△EFC
(ii)
△FCD
(iii)
△CDE
(iv)
△GCD
Question
32
32.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△NOL
≅
(i)
△LMN
(ii)
△OLM
(iii)
△PLM
(iv)
△MNO
Question
33
33.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△EFG
≅
(i)
△GHE
(ii)
△FGH
(iii)
△IEF
(iv)
△HEF
Question
34
34.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△FBC
≇
(i)
△FDE
(ii)
△EBC
(iii)
△FBE
(iv)
△FDC
Question
35
35.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JHG
≇
(i)
△JHI
(ii)
△JFI
(iii)
△IFG
(iv)
△JFG
Question
36
36.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQR
≇
(i)
△ROP
(ii)
△SOP
(iii)
△SQP
(iv)
△SOR
Question
37
37.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△GCF
≇
(i)
△GEF
(ii)
△GCD
(iii)
△FCD
(iv)
△GED
Question
38
38.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠DAB
=
(i)
∠CDA
(ii)
∠BCD
(iii)
∠ABE
(iv)
∠ABC
Question
39
39.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠BCD
=
(i)
∠DAB
(ii)
∠ABC
(iii)
∠ABE
(iv)
∠CDA
Question
40
40.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠ABC
=
(i)
∠DAB
(ii)
∠ABE
(iii)
∠CDA
(iv)
∠BCD
Question
41
41.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠DEB
=
(i)
∠BCF
(ii)
∠EBC
(iii)
∠CDE
(iv)
∠BCD
Question
42
42.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠GJF
≠
(i)
∠IFG
(ii)
∠IJH
(iii)
∠HJG
(iv)
∠FJI
Question
43
43.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠DEC
≠
(i)
∠DAB
(ii)
∠AED
(iii)
∠CEB
(iv)
∠BEA
Question
44
44.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠MQP
≠
(i)
∠OQN
(ii)
∠PMN
(iii)
∠PQO
(iv)
∠NQM
Question
45
45.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠OQN
≠
(i)
∠PMN
(ii)
∠NQM
(iii)
∠PQO
(iv)
∠MQP
Question
46
46.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠KGH
≠
(i)
∠GKJ
(ii)
∠HIK
(iii)
∠JGK
(iv)
∠KIJ
Question
47
47.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠FDE
≠
(i)
∠EBF
(ii)
∠CDF
(iii)
∠FBC
(iv)
∠BFE
Question
48
48.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠LIM
≠
(i)
∠IML
(ii)
∠MIJ
(iii)
∠MKL
(iv)
∠JKM
Question
49
49.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠CDF
≠
(i)
∠EBF
(ii)
∠FDE
(iii)
∠FBC
(iv)
∠BFE
Question
50
50.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠KJG
≠
(i)
∠JKI
(ii)
∠KHI
(iii)
∠GHK
(iv)
∠IJK
Question
51
51.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠KHI
≠
(i)
∠GHK
(ii)
∠KJG
(iii)
∠IJK
(iv)
∠JKI
Question
52
52.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠GHK
≠
(i)
∠KJG
(ii)
∠IJK
(iii)
∠KHI
(iv)
∠JKI
Question
53
53.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IJK
≠
(i)
∠GHK
(ii)
∠KHI
(iii)
∠KJG
(iv)
∠JKI
Question
54
54.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
FG
=
(i)
FC
(ii)
CG
(iii)
DG
(iv)
EG
Question
55
55.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
GJ
=
(i)
IJ
(ii)
FJ
(iii)
IF
(iv)
HJ
Question
56
56.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
EI
=
(i)
HI
(ii)
HE
(iii)
FI
(iv)
GI
Question
57
57.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DF
=
(i)
EB
(ii)
BF
(iii)
CF
(iv)
EF
Question
58
58.
In trapezium
GHIJ
,
GI
and
HJ
are diagonals.
Then
GH
∥
(i)
IJ
(ii)
JG
(iii)
GI
(iv)
HJ
(v)
HI
Question
59
59.
In trapezium
LMNO
,
LN
and
MO
are diagonals.
Then
NO
∥
(i)
LM
(ii)
OL
(iii)
MN
(iv)
MO
(v)
LN
Question
60
60.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
BC
=
(i)
BD
(ii)
CE
(iii)
DE
(iv)
EB
(v)
CD
Question
61
61.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
LI
=
(i)
IK
(ii)
IJ
(iii)
JK
(iv)
KL
(v)
JL
Question
62
62.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
FG
=
(i)
FH
(ii)
EF
(iii)
EG
(iv)
GH
(v)
HE
Question
63
63.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
HI
=
(i)
IF
(ii)
GI
(iii)
FG
(iv)
GH
(v)
FH
Question
64
64.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠IJK
=
(i)
∠IMJ
(ii)
∠ILJ
(iii)
∠KLJ
(iv)
∠KLI
(v)
∠IML
Question
65
65.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠CDA
=
(i)
∠AEB
(ii)
∠AED
(iii)
∠ADB
(iv)
∠CDB
(v)
∠ABC
Question
66
66.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠BFE
=
(i)
∠BFC
(ii)
∠BCD
(iii)
∠DEC
(iv)
∠DEB
(v)
∠BEC
Question
67
67.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠HLI
=
(i)
∠HKI
(ii)
∠JKI
(iii)
∠HIJ
(iv)
∠JKH
(v)
∠HLK
Question
68
68.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△LMJ
≅
(i)
△MKJ
(ii)
△NMJ
(iii)
△MKL
(iv)
△NLK
(v)
△LKJ
Question
69
69.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△FED
≅
(i)
△HGD
(ii)
△HFE
(iii)
△FGD
(iv)
△GEF
(v)
△GED
Question
70
70.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JIF
≅
(i)
△JHG
(ii)
△IGF
(iii)
△JHI
(iv)
△IGH
(v)
△JGF
Question
71
71.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△LIH
≅
(i)
△LKH
(ii)
△KIJ
(iii)
△LJK
(iv)
△LJI
(v)
△KIH
Question
72
72.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△ECD
≅
(i)
△DBC
(ii)
△EBA
(iii)
△ECB
(iv)
△EDA
(v)
△DBA
Question
73
73.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SQP
≅
(i)
△RPQ
(ii)
△SQR
(iii)
△RPO
(iv)
△SRO
(v)
△SPO
Question
74
74.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠DAE
=
(i)
∠ECB
(ii)
∠DEC
(iii)
∠AED
(iv)
∠ECD
(v)
∠BAE
Question
75
75.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠POS
=
(i)
∠OSR
(ii)
∠RSQ
(iii)
∠SQR
(iv)
∠ROS
(v)
∠SQP
Question
76
76.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠TRS
=
(i)
∠PTS
(ii)
∠STR
(iii)
∠QPT
(iv)
∠TRQ
(v)
∠SPT
Question
77
77.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠MKJ
=
(i)
∠LIM
(ii)
∠IML
(iii)
∠JIM
(iv)
∠LMK
(v)
∠MKL
Question
78
78.
Which of the following figures is a regular quadrilateral?
(i)
rhombus
(ii)
parallelogram
(iii)
trapezium
(iv)
rectangle
(v)
square
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (v)
5) (i)
6) (iii)
7) (ii)
8) (iii)
9) (iii)
10) (iii)
11) (ii)
12) (iv)
13) (ii)
14) (v)
15) (iv)
16) (iii)
17) (v)
18) (ii)
19) (i)
20) (iv)
21) (ii)
22) (iv)
23) (ii)
24) (iii)
25) (iii)
26) (ii)
27) (ii)
28) (iii)
29) (i)
30) (ii)
31) (ii)
32) (i)
33) (i)
34) (ii)
35) (iii)
36) (i)
37) (iii)
38) (ii)
39) (i)
40) (iii)
41) (iv)
42) (i)
43) (i)
44) (ii)
45) (i)
46) (i)
47) (iv)
48) (i)
49) (iv)
50) (i)
51) (iv)
52) (iv)
53) (iv)
54) (iii)
55) (i)
56) (iv)
57) (ii)
58) (i)
59) (i)
60) (iv)
61) (ii)
62) (iv)
63) (iv)
64) (iv)
65) (v)
66) (i)
67) (v)
68) (v)
69) (iii)
70) (v)
71) (i)
72) (iii)
73) (ii)
74) (v)
75) (iv)
76) (iv)
77) (v)
78) (v)