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)
△TSP
≅
△TQR
b)
T
is the mid point of
QS
c)
QT
=
ST
d)
△QSP
≅
△RSP
e)
QT
=
TR
(i)
{d,a,b}
(ii)
{d,e,c}
(iii)
{e,b}
(iv)
{a,b,c}
(v)
{d,a}
Question
2
2.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
∥
(i)
GH
(ii)
FH
(iii)
HE
(iv)
EG
(v)
FG
Question
3
3.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
MN
∥
(i)
KM
(ii)
LM
(iii)
KL
(iv)
NK
(v)
LN
Question
4
4.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
FC
∥
(i)
DE
(ii)
CD
(iii)
DF
(iv)
CE
(v)
EF
Question
5
5.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
JK
∥
(i)
IJ
(ii)
JL
(iii)
KL
(iv)
LI
(v)
IK
Question
6
6.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
IJ
=
(i)
KL
(ii)
JL
(iii)
IK
(iv)
JK
(v)
LI
Question
7
7.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
DE
=
(i)
BC
(ii)
CE
(iii)
BD
(iv)
CD
(v)
EB
Question
8
8.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
=
(i)
MN
(ii)
MO
(iii)
LM
(iv)
NO
(v)
LN
Question
9
9.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DE
=
(i)
EF
(ii)
CD
(iii)
CE
(iv)
DF
(v)
FC
Question
10
10.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△IFG
≅
(i)
△GHI
(ii)
△FGH
(iii)
△HIJ
(iv)
△FGJ
(v)
△HIF
Question
11
11.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△MNO
≅
(i)
△OLM
(ii)
△NOP
(iii)
△NOL
(iv)
△LMP
(v)
△LMN
Question
12
12.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△IJG
≅
(i)
△HIJ
(ii)
△IJK
(iii)
△JGH
(iv)
△GHI
(v)
△GHK
Question
13
13.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△EFG
≅
(i)
△FGH
(ii)
△GHI
(iii)
△GHE
(iv)
△EFI
(v)
△HEF
Question
14
14.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠LIJ
=
(i)
∠IJK
(ii)
∠IJM
(iii)
∠JKL
(iv)
∠KLI
(v)
∠KLM
Question
15
15.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠KLM
=
(i)
∠MJK
(ii)
∠LMJ
(iii)
∠JKL
(iv)
∠LMN
(v)
∠JKN
Question
16
16.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠LMN
=
(i)
∠OLM
(ii)
∠NOP
(iii)
∠LMP
(iv)
∠MNO
(v)
∠NOL
Question
17
17.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠LMJ
=
(i)
∠MJK
(ii)
∠KLM
(iii)
∠JKN
(iv)
∠JKL
(v)
∠LMN
Question
18
18.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
KM
=
(i)
LI
(ii)
JM
(iii)
IM
(iv)
LM
(v)
JK
Question
19
19.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
PT
=
(i)
SP
(ii)
RT
(iii)
QR
(iv)
QT
(v)
ST
Question
20
20.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
LM
=
(i)
KM
(ii)
IM
(iii)
LI
(iv)
JK
(v)
JM
Question
21
21.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QT
=
(i)
SP
(ii)
QR
(iii)
ST
(iv)
RT
(v)
PT
Question
22
22.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
IJ
∥
(i)
KL
(ii)
JK
(iii)
LI
(iv)
JL
Question
23
23.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DE
∥
(i)
CE
(ii)
BC
(iii)
EB
(iv)
CD
Question
24
24.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
IF
∥
(i)
HI
(ii)
FG
(iii)
GI
(iv)
GH
Question
25
25.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
PQ
∥
(i)
OP
(ii)
QR
(iii)
RO
(iv)
PR
Question
26
26.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
PQ
≠
(i)
QS
(ii)
RS
(iii)
SP
(iv)
QR
Question
27
27.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
FG
≠
(i)
GD
(ii)
EF
(iii)
DE
(iv)
EG
Question
28
28.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OL
≠
(i)
LM
(ii)
MN
(iii)
NO
(iv)
MO
Question
29
29.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
HI
≠
(i)
IJ
(ii)
HJ
(iii)
JG
(iv)
GH
Question
30
30.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△HEF
≅
(i)
△FGH
(ii)
△EFG
(iii)
△IEF
(iv)
△GHE
Question
31
31.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△GHI
≅
(i)
△IFG
(ii)
△FGH
(iii)
△JFG
(iv)
△HIF
Question
32
32.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△EFC
≅
(i)
△DEF
(ii)
△FCD
(iii)
△CDE
(iv)
△GCD
Question
33
33.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△ABC
≅
(i)
△EAB
(ii)
△BCD
(iii)
△DAB
(iv)
△CDA
Question
34
34.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△KGH
≇
(i)
△KIJ
(ii)
△JGH
(iii)
△KGJ
(iv)
△KIH
Question
35
35.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQP
≇
(i)
△SOP
(ii)
△SQR
(iii)
△ROP
(iv)
△SOR
Question
36
36.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MKL
≇
(i)
△MIJ
(ii)
△MKJ
(iii)
△LIJ
(iv)
△MIL
Question
37
37.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△QMP
≇
(i)
△PMN
(ii)
△QOP
(iii)
△QON
(iv)
△QMN
Question
38
38.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠FCD
=
(i)
∠CDE
(ii)
∠CDG
(iii)
∠EFC
(iv)
∠DEF
Question
39
39.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠FGH
=
(i)
∠HEF
(ii)
∠GHE
(iii)
∠EFG
(iv)
∠EFI
Question
40
40.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠FGH
=
(i)
∠HIF
(ii)
∠GHI
(iii)
∠IFG
(iv)
∠FGJ
Question
41
41.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠RSP
=
(i)
∠QRS
(ii)
∠SPQ
(iii)
∠PQT
(iv)
∠PQR
Question
42
42.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠ILH
≠
(i)
∠HLK
(ii)
∠KLJ
(iii)
∠KHI
(iv)
∠JLI
Question
43
43.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠PQO
≠
(i)
∠OQN
(ii)
∠NQM
(iii)
∠MQP
(iv)
∠PMN
Question
44
44.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EIH
≠
(i)
∠FIE
(ii)
∠HIG
(iii)
∠HEF
(iv)
∠GIF
Question
45
45.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠CEB
≠
(i)
∠AED
(ii)
∠BEA
(iii)
∠DEC
(iv)
∠DAB
Question
46
46.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠IEF
≠
(i)
∠IGH
(ii)
∠HEI
(iii)
∠EIH
(iv)
∠FGI
Question
47
47.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TRS
≠
(i)
∠TPQ
(ii)
∠QRT
(iii)
∠PTS
(iv)
∠SPT
Question
48
48.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MJN
≠
(i)
∠KLN
(ii)
∠NLM
(iii)
∠NJK
(iv)
∠JNM
Question
49
49.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠FGI
≠
(i)
∠HEI
(ii)
∠IEF
(iii)
∠IGH
(iv)
∠EIH
Question
50
50.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠NMJ
≠
(i)
∠MNL
(ii)
∠LMN
(iii)
∠JKN
(iv)
∠NKL
Question
51
51.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EBC
≠
(i)
∠EDA
(ii)
∠ABE
(iii)
∠CDE
(iv)
∠DEC
Question
52
52.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠ABE
≠
(i)
∠CDE
(ii)
∠DEC
(iii)
∠EBC
(iv)
∠EDA
Question
53
53.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠OPQ
≠
(i)
∠QPM
(ii)
∠PQO
(iii)
∠QNO
(iv)
∠MNQ
Question
54
54.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
EF
=
(i)
BF
(ii)
CF
(iii)
DF
(iv)
EB
Question
55
55.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
NQ
=
(i)
MQ
(ii)
OQ
(iii)
PQ
(iv)
PM
Question
56
56.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
MQ
=
(i)
PM
(ii)
PQ
(iii)
NQ
(iv)
OQ
Question
57
57.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
OQ
=
(i)
MQ
(ii)
NQ
(iii)
PM
(iv)
PQ
Question
58
58.
In trapezium
BCDE
,
BD
and
CE
are diagonals.
Then
BC
∥
(i)
CE
(ii)
EB
(iii)
DE
(iv)
CD
(v)
BD
Question
59
59.
In trapezium
HIJK
,
HJ
and
IK
are diagonals.
Then
JK
∥
(i)
IK
(ii)
HJ
(iii)
HI
(iv)
IJ
(v)
KH
Question
60
60.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
HI
=
(i)
IJ
(ii)
KH
(iii)
HJ
(iv)
JK
(v)
IK
Question
61
61.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
EB
=
(i)
BD
(ii)
CE
(iii)
BC
(iv)
CD
(v)
DE
Question
62
62.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
DE
=
(i)
FC
(ii)
EF
(iii)
DF
(iv)
CE
(v)
CD
Question
63
63.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
HI
=
(i)
FG
(ii)
IF
(iii)
GH
(iv)
FH
(v)
GI
Question
64
64.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠ABC
=
(i)
∠AEB
(ii)
∠AED
(iii)
∠ADB
(iv)
∠CDA
(v)
∠CDB
Question
65
65.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠OPM
=
(i)
∠MQP
(ii)
∠MQN
(iii)
∠MPN
(iv)
∠OPN
(v)
∠MNO
Question
66
66.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CGF
=
(i)
∠CGD
(ii)
∠CDE
(iii)
∠CFD
(iv)
∠EFC
(v)
∠EFD
Question
67
67.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠JNK
=
(i)
∠LMJ
(ii)
∠LMK
(iii)
∠JKL
(iv)
∠JMK
(v)
∠JNM
Question
68
68.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△LMJ
≅
(i)
△MKL
(ii)
△LKJ
(iii)
△NMJ
(iv)
△NLK
(v)
△MKJ
Question
69
69.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△NML
≅
(i)
△PNM
(ii)
△OML
(iii)
△NOL
(iv)
△OMN
(v)
△POL
Question
70
70.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TSP
≅
(i)
△TRQ
(ii)
△TRS
(iii)
△SQP
(iv)
△SQR
(v)
△TQP
Question
71
71.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△IFE
≅
(i)
△HFE
(ii)
△HFG
(iii)
△IHE
(iv)
△IGF
(v)
△IGH
Question
72
72.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△PNO
≅
(i)
△OMN
(ii)
△PNM
(iii)
△POL
(iv)
△OML
(v)
△PML
Question
73
73.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FDC
≅
(i)
△ECD
(ii)
△FDE
(iii)
△FEB
(iv)
△ECB
(v)
△FCB
Question
74
74.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠JGK
=
(i)
∠HGK
(ii)
∠JKI
(iii)
∠KIJ
(iv)
∠GKJ
(v)
∠KIH
Question
75
75.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠LKO
=
(i)
∠NKO
(ii)
∠OML
(iii)
∠OMN
(iv)
∠NOM
(v)
∠KON
Question
76
76.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠FDE
=
(i)
∠EBF
(ii)
∠EFD
(iii)
∠FDC
(iv)
∠CBF
(v)
∠BFE
Question
77
77.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠KIH
=
(i)
∠KIJ
(ii)
∠HGK
(iii)
∠GKJ
(iv)
∠JGK
(v)
∠JKI
Assignment Key
1) (iv)
2) (i)
3) (iii)
4) (i)
5) (iv)
6) (i)
7) (i)
8) (i)
9) (v)
10) (i)
11) (i)
12) (iv)
13) (iii)
14) (iii)
15) (i)
16) (v)
17) (iv)
18) (iii)
19) (ii)
20) (v)
21) (iii)
22) (i)
23) (ii)
24) (iv)
25) (iii)
26) (i)
27) (iv)
28) (iv)
29) (ii)
30) (i)
31) (i)
32) (iii)
33) (iv)
34) (ii)
35) (iii)
36) (iii)
37) (i)
38) (iv)
39) (i)
40) (i)
41) (iv)
42) (iii)
43) (iv)
44) (iii)
45) (iv)
46) (iii)
47) (iii)
48) (iv)
49) (iv)
50) (i)
51) (iv)
52) (ii)
53) (ii)
54) (ii)
55) (iii)
56) (iv)
57) (i)
58) (iii)
59) (iii)
60) (ii)
61) (iii)
62) (ii)
63) (iii)
64) (iv)
65) (v)
66) (i)
67) (v)
68) (ii)
69) (iii)
70) (v)
71) (iii)
72) (ii)
73) (ii)
74) (i)
75) (i)
76) (iii)
77) (i)