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)
△QSP
≅
△RSP
b)
QT
=
ST
c)
QT
=
TR
d)
T
is the mid point of
PR
e)
PQ
∥
RS
(i)
{a,b}
(ii)
{a,b,d}
(iii)
{c,d}
(iv)
{b,d,e}
(v)
{a,c,e}
Question
2
2.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
AB
∥
(i)
BD
(ii)
DA
(iii)
CD
(iv)
BC
(v)
AC
Question
3
3.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
JK
∥
(i)
IK
(ii)
HI
(iii)
HJ
(iv)
IJ
(v)
KH
Question
4
4.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
LI
∥
(i)
IK
(ii)
JK
(iii)
KL
(iv)
JL
(v)
IJ
Question
5
5.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
FG
∥
(i)
EG
(ii)
FH
(iii)
HE
(iv)
EF
(v)
GH
Question
6
6.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
=
(i)
GH
(ii)
EG
(iii)
FG
(iv)
FH
(v)
HE
Question
7
7.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
DE
=
(i)
CD
(ii)
CE
(iii)
EB
(iv)
BD
(v)
BC
Question
8
8.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
DA
=
(i)
BC
(ii)
AB
(iii)
AC
(iv)
BD
(v)
CD
Question
9
9.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
FG
=
(i)
EG
(ii)
EF
(iii)
GH
(iv)
FH
(v)
HE
Question
10
10.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△HEF
≅
(i)
△GHE
(ii)
△EFI
(iii)
△GHI
(iv)
△FGH
(v)
△EFG
Question
11
11.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△EFG
≅
(i)
△DEH
(ii)
△GDE
(iii)
△FGD
(iv)
△FGH
(v)
△DEF
Question
12
12.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
△CDA
≅
(i)
△CDE
(ii)
△ABC
(iii)
△ABE
(iv)
△DAB
(v)
△BCD
Question
13
13.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
△KLM
≅
(i)
△KLO
(ii)
△MNO
(iii)
△NKL
(iv)
△LMN
(v)
△MNK
Question
14
14.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠MJK
=
(i)
∠LMN
(ii)
∠LMJ
(iii)
∠JKN
(iv)
∠KLM
(v)
∠JKL
Question
15
15.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
∠BCD
=
(i)
∠CDA
(ii)
∠CDE
(iii)
∠ABC
(iv)
∠ABE
(v)
∠DAB
Question
16
16.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠LMN
=
(i)
∠LMP
(ii)
∠NOL
(iii)
∠OLM
(iv)
∠NOP
(v)
∠MNO
Question
17
17.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
∠EFC
=
(i)
∠DEF
(ii)
∠EFG
(iii)
∠FCD
(iv)
∠CDE
(v)
∠CDG
Question
18
18.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
KM
=
(i)
JM
(ii)
LI
(iii)
JK
(iv)
IM
(v)
LM
Question
19
19.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EI
=
(i)
FG
(ii)
GI
(iii)
HE
(iv)
HI
(v)
FI
Question
20
20.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
DE
=
(i)
AE
(ii)
BC
(iii)
CE
(iv)
DA
(v)
BE
Question
21
21.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GJ
=
(i)
HJ
(ii)
IF
(iii)
FJ
(iv)
IJ
(v)
GH
Question
22
22.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
EF
∥
(i)
FG
(ii)
FH
(iii)
GH
(iv)
HE
Question
23
23.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
PQ
∥
(i)
OP
(ii)
NO
(iii)
QN
(iv)
OQ
Question
24
24.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RO
∥
(i)
QR
(ii)
PR
(iii)
OP
(iv)
PQ
Question
25
25.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
FG
∥
(i)
EF
(ii)
HE
(iii)
FH
(iv)
GH
Question
26
26.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
EF
≠
(i)
GH
(ii)
HE
(iii)
FH
(iv)
FG
Question
27
27.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
QR
≠
(i)
RO
(ii)
PQ
(iii)
OP
(iv)
PR
Question
28
28.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
QN
≠
(i)
NO
(ii)
OP
(iii)
OQ
(iv)
PQ
Question
29
29.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
LM
≠
(i)
LN
(ii)
MN
(iii)
KL
(iv)
NK
Question
30
30.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△HEF
≅
(i)
△IEF
(ii)
△FGH
(iii)
△EFG
(iv)
△GHE
Question
31
31.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△GHI
≅
(i)
△IFG
(ii)
△HIF
(iii)
△JFG
(iv)
△FGH
Question
32
32.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△EFC
≅
(i)
△FCD
(ii)
△GCD
(iii)
△DEF
(iv)
△CDE
Question
33
33.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△NOP
≅
(i)
△RNO
(ii)
△OPQ
(iii)
△QNO
(iv)
△PQN
Question
34
34.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JFG
≇
(i)
△JHI
(ii)
△IFG
(iii)
△JHG
(iv)
△JFI
Question
35
35.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRQ
≇
(i)
△TPQ
(ii)
△SPQ
(iii)
△TRS
(iv)
△TPS
Question
36
36.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQR
≇
(i)
△SOR
(ii)
△SOP
(iii)
△ROP
(iv)
△SQP
Question
37
37.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NJM
≇
(i)
△NLM
(ii)
△MJK
(iii)
△NLK
(iv)
△NJK
Question
38
38.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠ROP
=
(i)
∠QRO
(ii)
∠OPQ
(iii)
∠PQR
(iv)
∠OPS
Question
39
39.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠EFG
=
(i)
∠DEH
(ii)
∠GDE
(iii)
∠DEF
(iv)
∠FGD
Question
40
40.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠JKL
=
(i)
∠LMJ
(ii)
∠JKN
(iii)
∠KLM
(iv)
∠MJK
Question
41
41.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IJG
=
(i)
∠GHK
(ii)
∠JGH
(iii)
∠HIJ
(iv)
∠GHI
Question
42
42.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠HKG
≠
(i)
∠GKJ
(ii)
∠JKI
(iii)
∠JGH
(iv)
∠IKH
Question
43
43.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QRP
≠
(i)
∠ORN
(ii)
∠PRO
(iii)
∠QNO
(iv)
∠NRQ
Question
44
44.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠HLK
≠
(i)
∠KHI
(ii)
∠KLJ
(iii)
∠JLI
(iv)
∠ILH
Question
45
45.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠JLI
≠
(i)
∠ILH
(ii)
∠KLJ
(iii)
∠KHI
(iv)
∠HLK
Question
46
46.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠OKL
≠
(i)
∠LMO
(ii)
∠OMN
(iii)
∠NKO
(iv)
∠KON
Question
47
47.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠ECD
≠
(i)
∠AED
(ii)
∠EAB
(iii)
∠DAE
(iv)
∠BCE
Question
48
48.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠DAE
≠
(i)
∠BCE
(ii)
∠EAB
(iii)
∠AED
(iv)
∠ECD
Question
49
49.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠OPR
≠
(i)
∠RPQ
(ii)
∠NRQ
(iii)
∠RNO
(iv)
∠QNR
Question
50
50.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠POL
≠
(i)
∠NOP
(ii)
∠OPN
(iii)
∠LMP
(iv)
∠PMN
Question
51
51.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠FCD
≠
(i)
∠EFD
(ii)
∠BCF
(iii)
∠FEB
(iv)
∠DEF
Question
52
52.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠DEH
≠
(i)
∠GHF
(ii)
∠FGH
(iii)
∠HGD
(iv)
∠HEF
Question
53
53.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠HIJ
≠
(i)
∠JIF
(ii)
∠IJH
(iii)
∠FGJ
(iv)
∠JGH
Question
54
54.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
MN
=
(i)
MJ
(ii)
KN
(iii)
LN
(iv)
JN
Question
55
55.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KN
=
(i)
MN
(ii)
LN
(iii)
MJ
(iv)
JN
Question
56
56.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
JN
=
(i)
LN
(ii)
MN
(iii)
MJ
(iv)
KN
Question
57
57.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
IK
=
(i)
HK
(ii)
JK
(iii)
GK
(iv)
JG
Question
58
58.
In trapezium
IJKL
,
IK
and
JL
are diagonals.
Then
IJ
∥
(i)
JK
(ii)
JL
(iii)
IK
(iv)
LI
(v)
KL
Question
59
59.
In trapezium
EFGH
,
EG
and
FH
are diagonals.
Then
GH
∥
(i)
FH
(ii)
HE
(iii)
EF
(iv)
EG
(v)
FG
Question
60
60.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
HI
=
(i)
IK
(ii)
JK
(iii)
KH
(iv)
IJ
(v)
HJ
Question
61
61.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
MJ
=
(i)
KL
(ii)
JL
(iii)
JK
(iv)
LM
(v)
KM
Question
62
62.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
QR
=
(i)
SP
(ii)
QS
(iii)
PR
(iv)
RS
(v)
PQ
Question
63
63.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
CD
=
(i)
AB
(ii)
BC
(iii)
BD
(iv)
AC
(v)
DA
Question
64
64.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠IJK
=
(i)
∠IMJ
(ii)
∠KLJ
(iii)
∠KLI
(iv)
∠ILJ
(v)
∠IML
Question
65
65.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠FGD
=
(i)
∠FGE
(ii)
∠DEF
(iii)
∠DHE
(iv)
∠DGE
(v)
∠DHG
Question
66
66.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠IML
=
(i)
∠ILJ
(ii)
∠KLI
(iii)
∠KLJ
(iv)
∠IMJ
(v)
∠IJK
Question
67
67.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠KOL
=
(i)
∠KLM
(ii)
∠MNK
(iii)
∠KON
(iv)
∠MNL
(v)
∠KNL
Question
68
68.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△JKH
≅
(i)
△JIH
(ii)
△LKH
(iii)
△KIH
(iv)
△LJI
(v)
△KIJ
Question
69
69.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△NML
≅
(i)
△OMN
(ii)
△POL
(iii)
△NOL
(iv)
△OML
(v)
△PNM
Question
70
70.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JIF
≅
(i)
△IGH
(ii)
△JHG
(iii)
△JHI
(iv)
△JGF
(v)
△IGF
Question
71
71.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OLK
≅
(i)
△NLM
(ii)
△OMN
(iii)
△NLK
(iv)
△OML
(v)
△ONK
Question
72
72.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KIJ
≅
(i)
△JHG
(ii)
△KJG
(iii)
△JHI
(iv)
△KHG
(v)
△KIH
Question
73
73.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△HFE
≅
(i)
△HGD
(ii)
△HFG
(iii)
△GEF
(iv)
△HED
(v)
△GED
Question
74
74.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠SPT
=
(i)
∠QPT
(ii)
∠STR
(iii)
∠TRQ
(iv)
∠TRS
(v)
∠PTS
Question
75
75.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠DCG
=
(i)
∠FCG
(ii)
∠GED
(iii)
∠FGE
(iv)
∠CGF
(v)
∠GEF
Question
76
76.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠MKL
=
(i)
∠IML
(ii)
∠LMK
(iii)
∠LIM
(iv)
∠JIM
(v)
∠MKJ
Question
77
77.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠QON
=
(i)
∠MQP
(ii)
∠PMQ
(iii)
∠PQO
(iv)
∠NMQ
(v)
∠QOP
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (ii)
5) (iii)
6) (i)
7) (v)
8) (i)
9) (v)
10) (iv)
11) (ii)
12) (ii)
13) (v)
14) (iv)
15) (v)
16) (ii)
17) (iv)
18) (iv)
19) (ii)
20) (v)
21) (iv)
22) (iii)
23) (ii)
24) (iv)
25) (ii)
26) (iii)
27) (iv)
28) (iii)
29) (i)
30) (ii)
31) (i)
32) (iv)
33) (iv)
34) (ii)
35) (ii)
36) (iii)
37) (ii)
38) (iii)
39) (ii)
40) (i)
41) (iv)
42) (iii)
43) (iii)
44) (i)
45) (iii)
46) (iv)
47) (i)
48) (iii)
49) (ii)
50) (ii)
51) (i)
52) (i)
53) (ii)
54) (ii)
55) (i)
56) (i)
57) (iii)
58) (v)
59) (iii)
60) (iii)
61) (iii)
62) (iv)
63) (ii)
64) (iii)
65) (ii)
66) (iv)
67) (iii)
68) (i)
69) (iii)
70) (iv)
71) (v)
72) (v)
73) (ii)
74) (i)
75) (i)
76) (v)
77) (v)