EduSahara™ Assignment
Name : Quadrilateral Properties Using Diagrams
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In the given parallelogram, which of the following statements are true?
a)
△EDA
≅
△EBC
b)
∠BEA
=
∠DEC
c)
△BDA
≅
△CDA
d)
BE
=
EC
e)
DA
∥
BC
(i)
{c,a,b}
(ii)
{c,a}
(iii)
{d,b}
(iv)
{a,b,e}
(v)
{c,d,e}
Question
2
2.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
LM
∥
(i)
MN
(ii)
NO
(iii)
LN
(iv)
MO
(v)
OL
Question
3
3.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
FG
∥
(i)
DE
(ii)
GD
(iii)
EG
(iv)
EF
(v)
DF
Question
4
4.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
NK
∥
(i)
LN
(ii)
LM
(iii)
MN
(iv)
KM
(v)
KL
Question
5
5.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GH
∥
(i)
FH
(ii)
HI
(iii)
IF
(iv)
FG
(v)
GI
Question
6
6.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
PQ
=
(i)
SP
(ii)
PR
(iii)
QR
(iv)
QS
(v)
RS
Question
7
7.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OP
=
(i)
NP
(ii)
PM
(iii)
MN
(iv)
NO
(v)
MO
Question
8
8.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
EB
=
(i)
CE
(ii)
DE
(iii)
BD
(iv)
BC
(v)
CD
Question
9
9.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DE
=
(i)
CE
(ii)
FC
(iii)
CD
(iv)
EF
(v)
DF
Question
10
10.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△OLM
≅
(i)
△NOL
(ii)
△MNO
(iii)
△LMN
(iv)
△LMP
(v)
△NOP
Question
11
11.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△GHI
≅
(i)
△FGJ
(ii)
△HIJ
(iii)
△FGH
(iv)
△IFG
(v)
△HIF
Question
12
12.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
△EFC
≅
(i)
△FCD
(ii)
△EFG
(iii)
△CDG
(iv)
△DEF
(v)
△CDE
Question
13
13.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
△CDE
≅
(i)
△EFG
(ii)
△FCD
(iii)
△DEF
(iv)
△EFC
(v)
△CDG
Question
14
14.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
∠HEF
=
(i)
∠GHE
(ii)
∠FGH
(iii)
∠EFI
(iv)
∠GHI
(v)
∠EFG
Question
15
15.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠NOP
=
(i)
∠MNQ
(ii)
∠OPM
(iii)
∠OPQ
(iv)
∠MNO
(v)
∠PMN
Question
16
16.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠FGH
=
(i)
∠FGJ
(ii)
∠GHI
(iii)
∠IFG
(iv)
∠HIJ
(v)
∠HIF
Question
17
17.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠KLI
=
(i)
∠JKL
(ii)
∠KLM
(iii)
∠IJM
(iv)
∠LIJ
(v)
∠IJK
Question
18
18.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
GI
=
(i)
FI
(ii)
HI
(iii)
HE
(iv)
EI
(v)
FG
Question
19
19.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GJ
=
(i)
FJ
(ii)
IF
(iii)
HJ
(iv)
GH
(v)
IJ
Question
20
20.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
HI
∥
(i)
KH
(ii)
JK
(iii)
IJ
(iv)
IK
Question
21
21.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
CD
∥
(i)
BD
(ii)
BC
(iii)
AB
(iv)
DA
Question
22
22.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RO
∥
(i)
QR
(ii)
PQ
(iii)
OP
(iv)
PR
Question
23
23.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
GH
∥
(i)
HI
(ii)
IF
(iii)
GI
(iv)
FG
Question
24
24.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
JK
≠
(i)
LM
(ii)
KM
(iii)
KL
(iv)
MJ
Question
25
25.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
EF
≠
(i)
FC
(ii)
DF
(iii)
DE
(iv)
CD
Question
26
26.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
NK
≠
(i)
LM
(ii)
KL
(iii)
LN
(iv)
MN
Question
27
27.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KL
≠
(i)
KM
(ii)
MJ
(iii)
LM
(iv)
JK
Question
28
28.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△PMN
≅
(i)
△QMN
(ii)
△OPM
(iii)
△MNO
(iv)
△NOP
Question
29
29.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△MNO
≅
(i)
△NOL
(ii)
△PLM
(iii)
△LMN
(iv)
△OLM
Question
30
30.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△LMJ
≅
(i)
△JKL
(ii)
△MJK
(iii)
△NJK
(iv)
△KLM
Question
31
31.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△IJK
≅
(i)
△MIJ
(ii)
△KLI
(iii)
△JKL
(iv)
△LIJ
Question
32
32.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SOP
≇
(i)
△SQP
(ii)
△ROP
(iii)
△SQR
(iv)
△SOR
Question
33
33.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△MKJ
≇
(i)
△MIJ
(ii)
△MKL
(iii)
△MIL
(iv)
△LIJ
Question
34
34.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OMN
≇
(i)
△OKN
(ii)
△OKL
(iii)
△NKL
(iv)
△OML
Question
35
35.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NJM
≇
(i)
△NLK
(ii)
△NJK
(iii)
△MJK
(iv)
△NLM
Question
36
36.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠IFG
=
(i)
∠FGJ
(ii)
∠FGH
(iii)
∠HIF
(iv)
∠GHI
Question
37
37.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠IJK
=
(i)
∠HIJ
(ii)
∠KHI
(iii)
∠JKH
(iv)
∠HIL
Question
38
38.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠EFG
=
(i)
∠FGH
(ii)
∠EFI
(iii)
∠GHE
(iv)
∠HEF
Question
39
39.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠DEB
=
(i)
∠EBC
(ii)
∠BCD
(iii)
∠BCF
(iv)
∠CDE
Question
40
40.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠HKG
≠
(i)
∠JKI
(ii)
∠IKH
(iii)
∠JGH
(iv)
∠GKJ
Question
41
41.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠IJH
≠
(i)
∠HJG
(ii)
∠FJI
(iii)
∠IFG
(iv)
∠GJF
Question
42
42.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠KON
≠
(i)
∠LOK
(ii)
∠NOM
(iii)
∠MOL
(iv)
∠NKL
Question
43
43.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠JLI
≠
(i)
∠KHI
(ii)
∠ILH
(iii)
∠KLJ
(iv)
∠HLK
Question
44
44.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠FBC
≠
(i)
∠CDF
(ii)
∠FDE
(iii)
∠BFE
(iv)
∠EBF
Question
45
45.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠KIJ
≠
(i)
∠JGK
(ii)
∠GKJ
(iii)
∠KGH
(iv)
∠HIK
Question
46
46.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠QNR
≠
(i)
∠RNO
(ii)
∠OPR
(iii)
∠NRQ
(iv)
∠RPQ
Question
47
47.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠QRT
≠
(i)
∠TRS
(ii)
∠PTS
(iii)
∠TPQ
(iv)
∠SPT
Question
48
48.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠KJG
≠
(i)
∠JKI
(ii)
∠KHI
(iii)
∠GHK
(iv)
∠IJK
Question
49
49.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠GDE
≠
(i)
∠EFG
(ii)
∠FGE
(iii)
∠GFC
(iv)
∠CDG
Question
50
50.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠HIL
≠
(i)
∠LIJ
(ii)
∠LKH
(iii)
∠JKL
(iv)
∠KLJ
Question
51
51.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NOP
≠
(i)
∠LMP
(ii)
∠POL
(iii)
∠OPN
(iv)
∠PMN
Question
52
52.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
HI
=
(i)
FI
(ii)
EI
(iii)
GI
(iv)
HE
Question
53
53.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
DG
=
(i)
CG
(ii)
EG
(iii)
FG
(iv)
FC
Question
54
54.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FJ
=
(i)
GJ
(ii)
HJ
(iii)
IJ
(iv)
IF
Question
55
55.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
OQ
=
(i)
PQ
(ii)
PM
(iii)
NQ
(iv)
MQ
Question
56
56.
In trapezium
OPQR
,
OQ
and
PR
are diagonals.
Then
OP
∥
(i)
OQ
(ii)
PR
(iii)
PQ
(iv)
RO
(v)
QR
Question
57
57.
In trapezium
ABCD
,
AC
and
BD
are diagonals.
Then
CD
∥
(i)
AC
(ii)
DA
(iii)
BD
(iv)
BC
(v)
AB
Question
58
58.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
MN
=
(i)
PM
(ii)
OP
(iii)
NO
(iv)
MO
(v)
NP
Question
59
59.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
HE
=
(i)
FG
(ii)
EF
(iii)
GH
(iv)
EG
(v)
FH
Question
60
60.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
PQ
=
(i)
RO
(ii)
PR
(iii)
OQ
(iv)
OP
(v)
QR
Question
61
61.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
DE
=
(i)
CE
(ii)
BD
(iii)
EB
(iv)
CD
(v)
BC
Question
62
62.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠NOP
=
(i)
∠NRO
(ii)
∠NQO
(iii)
∠PQO
(iv)
∠PQN
(v)
∠NRQ
Question
63
63.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠JKH
=
(i)
∠HIJ
(ii)
∠HLK
(iii)
∠HKI
(iv)
∠JKI
(v)
∠HLI
Question
64
64.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠LPO
=
(i)
∠LMN
(ii)
∠LPM
(iii)
∠NOL
(iv)
∠NOM
(v)
∠LOM
Question
65
65.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CGD
=
(i)
∠EFC
(ii)
∠EFD
(iii)
∠CFD
(iv)
∠CDE
(v)
∠CGF
Question
66
66.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△RSP
≅
(i)
△TRQ
(ii)
△SQP
(iii)
△TSP
(iv)
△RQP
(v)
△SQR
Question
67
67.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△DCB
≅
(i)
△FEB
(ii)
△ECD
(iii)
△DEB
(iv)
△FDC
(v)
△ECB
Question
68
68.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MLI
≅
(i)
△LJI
(ii)
△LJK
(iii)
△MJI
(iv)
△MKL
(v)
△MKJ
Question
69
69.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MJI
≅
(i)
△LJI
(ii)
△MKL
(iii)
△MLI
(iv)
△LJK
(v)
△MKJ
Question
70
70.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FDE
≅
(i)
△ECD
(ii)
△FEB
(iii)
△FCB
(iv)
△ECB
(v)
△FDC
Question
71
71.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RPO
≅
(i)
△QOP
(ii)
△QON
(iii)
△RPQ
(iv)
△RON
(v)
△RQN
Question
72
72.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠FCG
=
(i)
∠FGE
(ii)
∠DCG
(iii)
∠GEF
(iv)
∠GED
(v)
∠CGF
Question
73
73.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠NMQ
=
(i)
∠QOP
(ii)
∠MQP
(iii)
∠QON
(iv)
∠PMQ
(v)
∠PQO
Question
74
74.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
∠MKL
=
(i)
∠LMK
(ii)
∠IML
(iii)
∠LIM
(iv)
∠JIM
(v)
∠MKJ
Question
75
75.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠TRQ
=
(i)
∠QPT
(ii)
∠TRS
(iii)
∠STR
(iv)
∠PTS
(v)
∠SPT
Question
76
76.
Which of the following figures is a regular quadrilateral?
(i)
square
(ii)
rhombus
(iii)
parallelogram
(iv)
trapezium
(v)
rectangle
Question
77
77.
In the given figure, ABCD is a parallelogram.
If
AQ
and
BQ
are bisector of
∠A
&
∠B
, find
∠Q
(i)
90°
(ii)
89°
(iii)
88°
(iv)
91°
(v)
92°
Question
78
78.
EFGH is a rhombus. Q, R, S and T are mid-points of sides EF, FG, GH and HE. Find ∠RST
(i)
90°
(ii)
92°
(iii)
91°
(iv)
89°
(v)
88°
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (ii)
5) (iii)
6) (v)
7) (iii)
8) (v)
9) (ii)
10) (ii)
11) (iv)
12) (v)
13) (iv)
14) (ii)
15) (v)
16) (v)
17) (v)
18) (iv)
19) (v)
20) (ii)
21) (iii)
22) (ii)
23) (ii)
24) (ii)
25) (ii)
26) (iii)
27) (i)
28) (iv)
29) (iv)
30) (i)
31) (ii)
32) (ii)
33) (iv)
34) (iii)
35) (iii)
36) (iv)
37) (ii)
38) (iii)
39) (ii)
40) (iii)
41) (iii)
42) (iv)
43) (i)
44) (iii)
45) (ii)
46) (iii)
47) (ii)
48) (i)
49) (ii)
50) (iv)
51) (iii)
52) (i)
53) (iii)
54) (ii)
55) (iv)
56) (v)
57) (v)
58) (i)
59) (ii)
60) (v)
61) (iv)
62) (iv)
63) (i)
64) (ii)
65) (v)
66) (iv)
67) (iii)
68) (iii)
69) (iii)
70) (v)
71) (iii)
72) (ii)
73) (iv)
74) (v)
75) (ii)
76) (i)
77) (i)
78) (i)