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)
OR
=
RN
b)
OR
=
RP
c)
R
is the mid point of
OQ
d)
△RQN
≅
△ROP
e)
QN
∥
OP
(i)
{a,c}
(ii)
{a,c,d}
(iii)
{b,d}
(iv)
{c,d,e}
(v)
{a,b,e}
Question
2
2.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
AB
∥
(i)
BC
(ii)
BD
(iii)
DA
(iv)
CD
(v)
AC
Question
3
3.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QR
∥
(i)
PR
(ii)
OQ
(iii)
OP
(iv)
PQ
(v)
RO
Question
4
4.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
HE
∥
(i)
EG
(ii)
GH
(iii)
EF
(iv)
FH
(v)
FG
Question
5
5.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
LM
∥
(i)
LN
(ii)
KL
(iii)
NK
(iv)
KM
(v)
MN
Question
6
6.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
IJ
=
(i)
JL
(ii)
LI
(iii)
JK
(iv)
IK
(v)
KL
Question
7
7.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HI
=
(i)
FH
(ii)
IF
(iii)
FG
(iv)
GH
(v)
GI
Question
8
8.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
IF
=
(i)
HI
(ii)
GH
(iii)
GI
(iv)
FG
(v)
FH
Question
9
9.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
=
(i)
IK
(ii)
JK
(iii)
HI
(iv)
KH
(v)
HJ
Question
10
10.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△IFG
≅
(i)
△HIJ
(ii)
△FGJ
(iii)
△FGH
(iv)
△GHI
(v)
△HIF
Question
11
11.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△HIJ
≅
(i)
△GHK
(ii)
△IJK
(iii)
△IJG
(iv)
△GHI
(v)
△JGH
Question
12
12.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△GHE
≅
(i)
△FGH
(ii)
△EFG
(iii)
△GHI
(iv)
△EFI
(v)
△HEF
Question
13
13.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△DEF
≅
(i)
△EFG
(ii)
△DEH
(iii)
△GDE
(iv)
△FGD
(v)
△FGH
Question
14
14.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠PMN
=
(i)
∠MNQ
(ii)
∠MNO
(iii)
∠NOP
(iv)
∠OPM
(v)
∠OPQ
Question
15
15.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
∠HIJ
=
(i)
∠IJG
(ii)
∠IJK
(iii)
∠JGH
(iv)
∠GHK
(v)
∠GHI
Question
16
16.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
∠ABC
=
(i)
∠DAB
(ii)
∠BCD
(iii)
∠ABE
(iv)
∠CDA
(v)
∠CDE
Question
17
17.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
∠FGD
=
(i)
∠GDE
(ii)
∠DEH
(iii)
∠EFG
(iv)
∠FGH
(v)
∠DEF
Question
18
18.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
CE
=
(i)
BC
(ii)
BE
(iii)
AE
(iv)
DA
(v)
DE
Question
19
19.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BE
=
(i)
DE
(ii)
BC
(iii)
DA
(iv)
CE
(v)
AE
Question
20
20.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
LM
∥
(i)
MO
(ii)
MN
(iii)
NO
(iv)
OL
Question
21
21.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
GH
∥
(i)
EF
(ii)
HE
(iii)
FH
(iv)
FG
Question
22
22.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RO
∥
(i)
OP
(ii)
QR
(iii)
PR
(iv)
PQ
Question
23
23.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
IJ
∥
(i)
HI
(ii)
KH
(iii)
JK
(iv)
IK
Question
24
24.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
DE
≠
(i)
FG
(ii)
GD
(iii)
EG
(iv)
EF
Question
25
25.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
MN
≠
(i)
NK
(ii)
LN
(iii)
LM
(iv)
KL
Question
26
26.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
KH
≠
(i)
IK
(ii)
JK
(iii)
HI
(iv)
IJ
Question
27
27.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
HI
≠
(i)
JG
(ii)
HJ
(iii)
IJ
(iv)
GH
Question
28
28.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△MJK
≅
(i)
△JKL
(ii)
△NJK
(iii)
△LMJ
(iv)
△KLM
Question
29
29.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△NOP
≅
(i)
△PMN
(ii)
△MNO
(iii)
△QMN
(iv)
△OPM
Question
30
30.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△JKH
≅
(i)
△KHI
(ii)
△HIJ
(iii)
△LHI
(iv)
△IJK
Question
31
31.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
△IJK
≅
(i)
△MIJ
(ii)
△LIJ
(iii)
△JKL
(iv)
△KLI
Question
32
32.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JFG
≇
(i)
△JFI
(ii)
△JHI
(iii)
△IFG
(iv)
△JHG
Question
33
33.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRQ
≇
(i)
△TRS
(ii)
△TPS
(iii)
△TPQ
(iv)
△SPQ
Question
34
34.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OMN
≇
(i)
△OML
(ii)
△OKL
(iii)
△NKL
(iv)
△OKN
Question
35
35.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△FBE
≇
(i)
△EBC
(ii)
△FDC
(iii)
△FBC
(iv)
△FDE
Question
36
36.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠GDE
=
(i)
∠DEF
(ii)
∠EFG
(iii)
∠DEH
(iv)
∠FGD
Question
37
37.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠IJK
=
(i)
∠KHI
(ii)
∠HIJ
(iii)
∠HIL
(iv)
∠JKH
Question
38
38.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠DEF
=
(i)
∠GDE
(ii)
∠EFG
(iii)
∠FGD
(iv)
∠DEH
Question
39
39.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NOL
=
(i)
∠LMP
(ii)
∠OLM
(iii)
∠LMN
(iv)
∠MNO
Question
40
40.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠GJF
≠
(i)
∠FJI
(ii)
∠IJH
(iii)
∠HJG
(iv)
∠IFG
Question
41
41.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠EFD
≠
(i)
∠EBC
(ii)
∠BFE
(iii)
∠DFC
(iv)
∠CFB
Question
42
42.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠BFE
≠
(i)
∠CFB
(ii)
∠EBC
(iii)
∠EFD
(iv)
∠DFC
Question
43
43.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠RTQ
≠
(i)
∠QTP
(ii)
∠PTS
(iii)
∠SPQ
(iv)
∠STR
Question
44
44.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TPQ
≠
(i)
∠QRT
(ii)
∠SPT
(iii)
∠TRS
(iv)
∠PTS
Question
45
45.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SQR
≠
(i)
∠PQS
(ii)
∠ROS
(iii)
∠SOP
(iv)
∠OSR
Question
46
46.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠FCG
≠
(i)
∠GEF
(ii)
∠GCD
(iii)
∠DEG
(iv)
∠CGF
Question
47
47.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠LMO
≠
(i)
∠KON
(ii)
∠NKO
(iii)
∠OMN
(iv)
∠OKL
Question
48
48.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠LKH
≠
(i)
∠HIL
(ii)
∠KLJ
(iii)
∠JKL
(iv)
∠LIJ
Question
49
49.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠JGH
≠
(i)
∠HIJ
(ii)
∠IJH
(iii)
∠JIF
(iv)
∠FGJ
Question
50
50.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠NOR
≠
(i)
∠QRP
(ii)
∠RQN
(iii)
∠PQR
(iv)
∠ROP
Question
51
51.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IJK
≠
(i)
∠GHK
(ii)
∠KJG
(iii)
∠JKI
(iv)
∠KHI
Question
52
52.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OP
=
(i)
LP
(ii)
MP
(iii)
NP
(iv)
OL
Question
53
53.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
HK
=
(i)
JG
(ii)
JK
(iii)
IK
(iv)
GK
Question
54
54.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GK
=
(i)
JK
(ii)
IK
(iii)
HK
(iv)
JG
Question
55
55.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
CE
=
(i)
DE
(ii)
AE
(iii)
BE
(iv)
DA
Question
56
56.
In trapezium
FGHI
,
FH
and
GI
are diagonals.
Then
FG
∥
(i)
FH
(ii)
HI
(iii)
GH
(iv)
IF
(v)
GI
Question
57
57.
In trapezium
PQRS
,
PR
and
QS
are diagonals.
Then
RS
∥
(i)
PR
(ii)
QS
(iii)
SP
(iv)
QR
(v)
PQ
Question
58
58.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
OP
=
(i)
OQ
(ii)
QR
(iii)
PQ
(iv)
RO
(v)
PR
Question
59
59.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
HE
=
(i)
GH
(ii)
FG
(iii)
EF
(iv)
EG
(v)
FH
Question
60
60.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
BC
=
(i)
DA
(ii)
AC
(iii)
AB
(iv)
CD
(v)
BD
Question
61
61.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
IJ
=
(i)
JG
(ii)
HI
(iii)
HJ
(iv)
GI
(v)
GH
Question
62
62.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠DEF
=
(i)
∠FGE
(ii)
∠DHG
(iii)
∠FGD
(iv)
∠DGE
(v)
∠DHE
Question
63
63.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠OPM
=
(i)
∠MQN
(ii)
∠MNO
(iii)
∠MQP
(iv)
∠OPN
(v)
∠MPN
Question
64
64.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OSR
=
(i)
∠ORP
(ii)
∠OPQ
(iii)
∠QRO
(iv)
∠QRP
(v)
∠OSP
Question
65
65.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠FJG
=
(i)
∠FGH
(ii)
∠HIF
(iii)
∠HIG
(iv)
∠FJI
(v)
∠FIG
Question
66
66.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△OPM
≅
(i)
△ONM
(ii)
△PNO
(iii)
△QON
(iv)
△PNM
(v)
△QPM
Question
67
67.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△IHG
≅
(i)
△JHG
(ii)
△IJG
(iii)
△KIH
(iv)
△KJG
(v)
△JHI
Question
68
68.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△NMJ
≅
(i)
△MKL
(ii)
△NKJ
(iii)
△MKJ
(iv)
△NLK
(v)
△NLM
Question
69
69.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△EBA
≅
(i)
△ECD
(ii)
△DBA
(iii)
△DBC
(iv)
△ECB
(v)
△EDA
Question
70
70.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GEF
≅
(i)
△GFC
(ii)
△FDE
(iii)
△GED
(iv)
△FDC
(v)
△GDC
Question
71
71.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△ECB
≅
(i)
△ECD
(ii)
△DBC
(iii)
△DBA
(iv)
△EDA
(v)
△EBA
Question
72
72.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠NKO
=
(i)
∠OML
(ii)
∠NOM
(iii)
∠LKO
(iv)
∠KON
(v)
∠OMN
Question
73
73.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠BAE
=
(i)
∠ECD
(ii)
∠DEC
(iii)
∠DAE
(iv)
∠AED
(v)
∠ECB
Question
74
74.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠IGH
=
(i)
∠HEI
(ii)
∠FEI
(iii)
∠EIH
(iv)
∠IGF
(v)
∠HIG
Question
75
75.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠TRQ
=
(i)
∠STR
(ii)
∠PTS
(iii)
∠SPT
(iv)
∠QPT
(v)
∠TRS
Question
76
76.
Which of the following figures is a regular quadrilateral?
(i)
rhombus
(ii)
rectangle
(iii)
parallelogram
(iv)
square
(v)
trapezium
Question
77
77.
In the given figure, CDEF is a parallelogram.
If
CS
and
DS
are bisector of
∠C
&
∠D
, find
∠S
(i)
88°
(ii)
91°
(iii)
92°
(iv)
89°
(v)
90°
Question
78
78.
ABCD is a rhombus. P, Q, R and S are mid-points of sides AB, BC, CD and DA. Find ∠QRS
(i)
89°
(ii)
91°
(iii)
92°
(iv)
88°
(v)
90°
Assignment Key
1) (iv)
2) (iv)
3) (iii)
4) (v)
5) (iii)
6) (v)
7) (iii)
8) (ii)
9) (iv)
10) (iv)
11) (v)
12) (ii)
13) (iv)
14) (iii)
15) (iii)
16) (iv)
17) (v)
18) (iii)
19) (i)
20) (iii)
21) (i)
22) (iv)
23) (ii)
24) (iii)
25) (ii)
26) (i)
27) (ii)
28) (iv)
29) (i)
30) (ii)
31) (iv)
32) (iii)
33) (iv)
34) (iii)
35) (i)
36) (ii)
37) (i)
38) (iii)
39) (iii)
40) (iv)
41) (i)
42) (ii)
43) (iii)
44) (iv)
45) (iv)
46) (iv)
47) (i)
48) (ii)
49) (ii)
50) (i)
51) (iii)
52) (ii)
53) (ii)
54) (ii)
55) (ii)
56) (ii)
57) (v)
58) (iv)
59) (iii)
60) (iv)
61) (ii)
62) (iii)
63) (ii)
64) (v)
65) (iv)
66) (i)
67) (ii)
68) (ii)
69) (v)
70) (iii)
71) (i)
72) (iii)
73) (iii)
74) (iv)
75) (v)
76) (iv)
77) (v)
78) (v)