EduSahara™ Assignment
Name : Quadrilateral Properties Using Diagrams
Chapter : Quadrilaterals
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
In the given parallelogram, which of the following statements are true?
a)
KN
=
NL
b)
△NJK
≅
△NLM
c)
∠KNJ
=
∠MNL
d)
N
is the mid point of
KM
e)
△KMJ
≅
△LMJ
(i)
{e,c}
(ii)
{a,b,c}
(iii)
{a,e,d}
(iv)
{a,b}
(v)
{b,c,d}
Question
2
2.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
∥
(i)
HE
(ii)
FH
(iii)
FG
(iv)
GH
(v)
EG
Question
3
3.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
DE
∥
(i)
BD
(ii)
CD
(iii)
BC
(iv)
CE
(v)
EB
Question
4
4.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
DA
∥
(i)
BC
(ii)
AC
(iii)
AB
(iv)
BD
(v)
CD
Question
5
5.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
CD
∥
(i)
BC
(ii)
BD
(iii)
CE
(iv)
DE
(v)
EB
Question
6
6.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
=
(i)
FG
(ii)
EG
(iii)
HE
(iv)
GH
(v)
FH
Question
7
7.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
GH
=
(i)
FG
(ii)
FH
(iii)
EG
(iv)
EF
(v)
HE
Question
8
8.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
KH
=
(i)
HI
(ii)
IJ
(iii)
IK
(iv)
JK
(v)
HJ
Question
9
9.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
=
(i)
IK
(ii)
HI
(iii)
HJ
(iv)
KH
(v)
JK
Question
10
10.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△GDE
≅
(i)
△EFG
(ii)
△DEH
(iii)
△DEF
(iv)
△FGH
(v)
△FGD
Question
11
11.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△QRS
≅
(i)
△PQT
(ii)
△PQR
(iii)
△RSP
(iv)
△SPQ
(v)
△RST
Question
12
12.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△IJG
≅
(i)
△GHK
(ii)
△JGH
(iii)
△HIJ
(iv)
△IJK
(v)
△GHI
Question
13
13.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△OPQ
≅
(i)
△OPS
(ii)
△PQR
(iii)
△ROP
(iv)
△QRS
(v)
△QRO
Question
14
14.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠ROP
=
(i)
∠OPS
(ii)
∠QRS
(iii)
∠PQR
(iv)
∠OPQ
(v)
∠QRO
Question
15
15.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
∠CDE
=
(i)
∠BCF
(ii)
∠DEF
(iii)
∠EBC
(iv)
∠BCD
(v)
∠DEB
Question
16
16.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠HIJ
=
(i)
∠HIL
(ii)
∠KHI
(iii)
∠JKL
(iv)
∠IJK
(v)
∠JKH
Question
17
17.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠QRO
=
(i)
∠PQR
(ii)
∠OPQ
(iii)
∠QRS
(iv)
∠OPS
(v)
∠ROP
Question
18
18.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JL
=
(i)
KH
(ii)
HL
(iii)
IJ
(iv)
KL
(v)
IL
Question
19
19.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
FJ
=
(i)
HJ
(ii)
IJ
(iii)
IF
(iv)
GH
(v)
GJ
Question
20
20.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
MN
=
(i)
KL
(ii)
JN
(iii)
KN
(iv)
MJ
(v)
LN
Question
21
21.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
FI
=
(i)
HE
(ii)
FG
(iii)
HI
(iv)
GI
(v)
EI
Question
22
22.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
IJ
∥
(i)
JK
(ii)
LI
(iii)
JL
(iv)
KL
Question
23
23.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
QR
∥
(i)
OP
(ii)
PQ
(iii)
RO
(iv)
PR
Question
24
24.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
FC
∥
(i)
DE
(ii)
EF
(iii)
CD
(iv)
DF
Question
25
25.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
QR
∥
(i)
PQ
(ii)
SP
(iii)
RS
(iv)
QS
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
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
NO
≠
(i)
MO
(ii)
OL
(iii)
MN
(iv)
LM
Question
28
28.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
EB
≠
(i)
DE
(ii)
CD
(iii)
BC
(iv)
CE
Question
29
29.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
PQ
≠
(i)
PR
(ii)
RO
(iii)
OP
(iv)
QR
Question
30
30.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△SPQ
≅
(i)
△TPQ
(ii)
△RSP
(iii)
△QRS
(iv)
△PQR
Question
31
31.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△IJK
≅
(i)
△HIJ
(ii)
△LHI
(iii)
△JKH
(iv)
△KHI
Question
32
32.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△PQN
≅
(i)
△NOP
(ii)
△QNO
(iii)
△OPQ
(iv)
△RNO
Question
33
33.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△GHI
≅
(i)
△KGH
(ii)
△IJG
(iii)
△HIJ
(iv)
△JGH
Question
34
34.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△GCD
≇
(i)
△GED
(ii)
△GCF
(iii)
△FCD
(iv)
△GEF
Question
35
35.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MKJ
≇
(i)
△MIL
(ii)
△LIJ
(iii)
△MIJ
(iv)
△MKL
Question
36
36.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△KIJ
≇
(i)
△KIH
(ii)
△KGJ
(iii)
△JGH
(iv)
△KGH
Question
37
37.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△EAD
≇
(i)
△DAB
(ii)
△EAB
(iii)
△ECD
(iv)
△ECB
Question
38
38.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠KHI
=
(i)
∠HIL
(ii)
∠HIJ
(iii)
∠JKH
(iv)
∠IJK
Question
39
39.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠GHI
=
(i)
∠IFG
(ii)
∠FGJ
(iii)
∠HIF
(iv)
∠FGH
Question
40
40.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠IJK
=
(i)
∠KLI
(ii)
∠IJM
(iii)
∠LIJ
(iv)
∠JKL
Question
41
41.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠QRO
=
(i)
∠PQR
(ii)
∠OPS
(iii)
∠OPQ
(iv)
∠ROP
Question
42
42.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠KNJ
≠
(i)
∠MJK
(ii)
∠LNK
(iii)
∠JNM
(iv)
∠MNL
Question
43
43.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠DEC
≠
(i)
∠AED
(ii)
∠BEA
(iii)
∠CEB
(iv)
∠DAB
Question
44
44.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠IML
≠
(i)
∠KMJ
(ii)
∠LIJ
(iii)
∠LMK
(iv)
∠JMI
Question
45
45.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠RTQ
≠
(i)
∠QTP
(ii)
∠SPQ
(iii)
∠PTS
(iv)
∠STR
Question
46
46.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠GCD
≠
(i)
∠FCG
(ii)
∠DEG
(iii)
∠GEF
(iv)
∠CGF
Question
47
47.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠MKL
≠
(i)
∠JKM
(ii)
∠MIJ
(iii)
∠LIM
(iv)
∠IML
Question
48
48.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QNR
≠
(i)
∠RPQ
(ii)
∠NRQ
(iii)
∠OPR
(iv)
∠RNO
Question
49
49.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DEG
≠
(i)
∠GCD
(ii)
∠FCG
(iii)
∠GEF
(iv)
∠CGF
Question
50
50.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠MLI
≠
(i)
∠IJM
(ii)
∠MJK
(iii)
∠KLM
(iv)
∠LMK
Question
51
51.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠LIJ
≠
(i)
∠KLJ
(ii)
∠LKH
(iii)
∠JKL
(iv)
∠HIL
Question
52
52.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EFI
≠
(i)
∠IFG
(ii)
∠HIG
(iii)
∠IHE
(iv)
∠GHI
Question
53
53.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IJK
≠
(i)
∠JKI
(ii)
∠KHI
(iii)
∠GHK
(iv)
∠KJG
Question
54
54.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
NO
=
(i)
MO
(ii)
KO
(iii)
LO
(iv)
NK
Question
55
55.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
CF
=
(i)
DF
(ii)
EF
(iii)
BF
(iv)
EB
Question
56
56.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FJ
=
(i)
GJ
(ii)
IJ
(iii)
HJ
(iv)
IF
Question
57
57.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
LN
=
(i)
KN
(ii)
JN
(iii)
MN
(iv)
MJ
Question
58
58.
In trapezium
IJKL
,
IK
and
JL
are diagonals.
Then
IJ
∥
(i)
LI
(ii)
IK
(iii)
JL
(iv)
KL
(v)
JK
Question
59
59.
In trapezium
FGHI
,
FH
and
GI
are diagonals.
Then
HI
∥
(i)
GH
(ii)
FH
(iii)
IF
(iv)
GI
(v)
FG
Question
60
60.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
DE
=
(i)
EG
(ii)
GD
(iii)
DF
(iv)
FG
(v)
EF
Question
61
61.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
NK
=
(i)
KL
(ii)
MN
(iii)
LM
(iv)
LN
(v)
KM
Question
62
62.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
KL
=
(i)
JK
(ii)
LM
(iii)
JL
(iv)
KM
(v)
MJ
Question
63
63.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
KL
=
(i)
IK
(ii)
LI
(iii)
IJ
(iv)
JK
(v)
JL
Question
64
64.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠NOP
=
(i)
∠PQO
(ii)
∠NRQ
(iii)
∠NRO
(iv)
∠NQO
(v)
∠PQN
Question
65
65.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠CDA
=
(i)
∠ABC
(ii)
∠AEB
(iii)
∠AED
(iv)
∠CDB
(v)
∠ADB
Question
66
66.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠GKJ
=
(i)
∠GHI
(ii)
∠IJG
(iii)
∠GKH
(iv)
∠GJH
(v)
∠IJH
Question
67
67.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OSP
=
(i)
∠OPQ
(ii)
∠QRO
(iii)
∠QRP
(iv)
∠OSR
(v)
∠ORP
Question
68
68.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△OPM
≅
(i)
△QON
(ii)
△ONM
(iii)
△PNO
(iv)
△QPM
(v)
△PNM
Question
69
69.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△ONM
≅
(i)
△QON
(ii)
△PNM
(iii)
△QPM
(iv)
△PNO
(v)
△OPM
Question
70
70.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GFC
≅
(i)
△GEF
(ii)
△FDC
(iii)
△GED
(iv)
△GDC
(v)
△FDE
Question
71
71.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△PML
≅
(i)
△PNM
(ii)
△POL
(iii)
△OML
(iv)
△PNO
(v)
△OMN
Question
72
72.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JHI
≅
(i)
△JIF
(ii)
△IGH
(iii)
△JGF
(iv)
△IGF
(v)
△JHG
Question
73
73.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OML
≅
(i)
△ONK
(ii)
△NLM
(iii)
△NLK
(iv)
△OLK
(v)
△OMN
Question
74
74.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠ROS
=
(i)
∠RSQ
(ii)
∠SQP
(iii)
∠OSR
(iv)
∠SQR
(v)
∠POS
Question
75
75.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠LKO
=
(i)
∠OMN
(ii)
∠OML
(iii)
∠KON
(iv)
∠NOM
(v)
∠NKO
Question
76
76.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠TRS
=
(i)
∠TRQ
(ii)
∠QPT
(iii)
∠PTS
(iv)
∠SPT
(v)
∠STR
Question
77
77.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠QON
=
(i)
∠MQP
(ii)
∠QOP
(iii)
∠PMQ
(iv)
∠PQO
(v)
∠NMQ
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (i)
5) (v)
6) (iv)
7) (iv)
8) (ii)
9) (iv)
10) (i)
11) (iv)
12) (v)
13) (v)
14) (iii)
15) (iii)
16) (v)
17) (ii)
18) (ii)
19) (i)
20) (iii)
21) (iii)
22) (iv)
23) (i)
24) (i)
25) (ii)
26) (ii)
27) (i)
28) (iv)
29) (i)
30) (iii)
31) (iv)
32) (i)
33) (ii)
34) (iii)
35) (ii)
36) (iii)
37) (i)
38) (iv)
39) (i)
40) (i)
41) (iii)
42) (i)
43) (iv)
44) (ii)
45) (ii)
46) (iv)
47) (iv)
48) (ii)
49) (iv)
50) (iv)
51) (i)
52) (ii)
53) (i)
54) (iii)
55) (ii)
56) (iii)
57) (ii)
58) (iv)
59) (v)
60) (ii)
61) (i)
62) (ii)
63) (iv)
64) (v)
65) (i)
66) (iii)
67) (iv)
68) (ii)
69) (v)
70) (iv)
71) (ii)
72) (v)
73) (v)
74) (v)
75) (v)
76) (i)
77) (ii)