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)
∠QTP
=
∠STR
b)
QT
=
TR
c)
T
is the mid point of
QS
d)
△TSP
≅
△TQR
e)
△QSP
≅
△RSP
(i)
{b,a}
(ii)
{b,e,d}
(iii)
{e,c}
(iv)
{a,c,d}
(v)
{b,a,c}
Question
2
2.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
JK
∥
(i)
LM
(ii)
KM
(iii)
KL
(iv)
MJ
(v)
JL
Question
3
3.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
PQ
∥
(i)
QN
(ii)
NO
(iii)
NP
(iv)
OQ
(v)
OP
Question
4
4.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
IF
∥
(i)
FG
(ii)
FH
(iii)
GI
(iv)
HI
(v)
GH
Question
5
5.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BC
∥
(i)
CD
(ii)
DA
(iii)
AB
(iv)
BD
(v)
AC
Question
6
6.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
GH
=
(i)
HI
(ii)
HJ
(iii)
JG
(iv)
IJ
(v)
GI
Question
7
7.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
PQ
=
(i)
NO
(ii)
QN
(iii)
NP
(iv)
OQ
(v)
OP
Question
8
8.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
FC
=
(i)
CE
(ii)
DE
(iii)
DF
(iv)
EF
(v)
CD
Question
9
9.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
BC
=
(i)
AB
(ii)
AC
(iii)
BD
(iv)
DA
(v)
CD
Question
10
10.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△HEF
≅
(i)
△EFI
(ii)
△GHE
(iii)
△GHI
(iv)
△FGH
(v)
△EFG
Question
11
11.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△KLM
≅
(i)
△MJK
(ii)
△JKN
(iii)
△JKL
(iv)
△LMN
(v)
△LMJ
Question
12
12.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△IJG
≅
(i)
△GHI
(ii)
△HIJ
(iii)
△GHK
(iv)
△IJK
(v)
△JGH
Question
13
13.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△FGH
≅
(i)
△HIJ
(ii)
△FGJ
(iii)
△HIF
(iv)
△IFG
(v)
△GHI
Question
14
14.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠KHI
=
(i)
∠HIL
(ii)
∠JKL
(iii)
∠JKH
(iv)
∠HIJ
(v)
∠IJK
Question
15
15.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
∠CDE
=
(i)
∠EBC
(ii)
∠BCD
(iii)
∠BCF
(iv)
∠DEB
(v)
∠DEF
Question
16
16.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
∠KLM
=
(i)
∠NKL
(ii)
∠MNK
(iii)
∠KLO
(iv)
∠LMN
(v)
∠MNO
Question
17
17.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
∠KLI
=
(i)
∠KLM
(ii)
∠LIJ
(iii)
∠JKL
(iv)
∠IJM
(v)
∠IJK
Question
18
18.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
EG
=
(i)
DE
(ii)
CG
(iii)
FG
(iv)
DG
(v)
FC
Question
19
19.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IL
=
(i)
KH
(ii)
JL
(iii)
HL
(iv)
KL
(v)
IJ
Question
20
20.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
DE
∥
(i)
EF
(ii)
FG
(iii)
GD
(iv)
EG
Question
21
21.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
PQ
∥
(i)
OQ
(ii)
NO
(iii)
OP
(iv)
QN
Question
22
22.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
LI
∥
(i)
JL
(ii)
KL
(iii)
IJ
(iv)
JK
Question
23
23.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KL
∥
(i)
MJ
(ii)
JK
(iii)
LM
(iv)
KM
Question
24
24.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
JK
≠
(i)
LM
(ii)
KL
(iii)
MJ
(iv)
KM
Question
25
25.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
QR
≠
(i)
PR
(ii)
PQ
(iii)
OP
(iv)
RO
Question
26
26.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RO
≠
(i)
OP
(ii)
PQ
(iii)
PR
(iv)
QR
Question
27
27.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
HI
≠
(i)
JG
(ii)
IJ
(iii)
GH
(iv)
HJ
Question
28
28.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△IFG
≅
(i)
△FGH
(ii)
△JFG
(iii)
△GHI
(iv)
△HIF
Question
29
29.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△PQR
≅
(i)
△OPQ
(ii)
△QRO
(iii)
△SOP
(iv)
△ROP
Question
30
30.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△OPM
≅
(i)
△NOP
(ii)
△MNO
(iii)
△PMN
(iv)
△QMN
Question
31
31.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△CDE
≅
(i)
△DEF
(ii)
△FCD
(iii)
△EFC
(iv)
△GCD
Question
32
32.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△KGH
≇
(i)
△KIH
(ii)
△KIJ
(iii)
△JGH
(iv)
△KGJ
Question
33
33.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IGF
≇
(i)
△IEF
(ii)
△IGH
(iii)
△IEH
(iv)
△HEF
Question
34
34.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NLM
≇
(i)
△NJK
(ii)
△MJK
(iii)
△NJM
(iv)
△NLK
Question
35
35.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TPS
≇
(i)
△TRS
(ii)
△SPQ
(iii)
△TRQ
(iv)
△TPQ
Question
36
36.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠EBC
=
(i)
∠BCD
(ii)
∠DEB
(iii)
∠CDE
(iv)
∠BCF
Question
37
37.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠OPQ
=
(i)
∠NOP
(ii)
∠QNO
(iii)
∠PQN
(iv)
∠NOR
Question
38
38.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠HIJ
=
(i)
∠IJK
(ii)
∠JKH
(iii)
∠HIL
(iv)
∠KHI
Question
39
39.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠RSP
=
(i)
∠QRS
(ii)
∠SPQ
(iii)
∠PQR
(iv)
∠PQT
Question
40
40.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠CFB
≠
(i)
∠BFE
(ii)
∠DFC
(iii)
∠EFD
(iv)
∠EBC
Question
41
41.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠IJH
≠
(i)
∠FJI
(ii)
∠GJF
(iii)
∠IFG
(iv)
∠HJG
Question
42
42.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠OSR
≠
(i)
∠ROP
(ii)
∠PSO
(iii)
∠QSP
(iv)
∠RSQ
Question
43
43.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠IKH
≠
(i)
∠JGH
(ii)
∠JKI
(iii)
∠HKG
(iv)
∠GKJ
Question
44
44.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠JFG
≠
(i)
∠JHI
(ii)
∠IFJ
(iii)
∠GHJ
(iv)
∠FJI
Question
45
45.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠FDE
≠
(i)
∠FBC
(ii)
∠EBF
(iii)
∠BFE
(iv)
∠CDF
Question
46
46.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠HEI
≠
(i)
∠IEF
(ii)
∠IGH
(iii)
∠FGI
(iv)
∠EIH
Question
47
47.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠MNP
≠
(i)
∠PNO
(ii)
∠LPO
(iii)
∠OLP
(iv)
∠PLM
Question
48
48.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠FEB
≠
(i)
∠EFD
(ii)
∠BCF
(iii)
∠DEF
(iv)
∠FCD
Question
49
49.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠ROP
≠
(i)
∠QRP
(ii)
∠NOR
(iii)
∠RQN
(iv)
∠PQR
Question
50
50.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠LMP
≠
(i)
∠OPN
(ii)
∠NOP
(iii)
∠PMN
(iv)
∠POL
Question
51
51.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠CDE
≠
(i)
∠EDA
(ii)
∠EBC
(iii)
∠DEC
(iv)
∠ABE
Question
52
52.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
JK
=
(i)
IK
(ii)
JG
(iii)
GK
(iv)
HK
Question
53
53.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KN
=
(i)
MN
(ii)
MJ
(iii)
JN
(iv)
LN
Question
54
54.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
FJ
=
(i)
GJ
(ii)
IF
(iii)
IJ
(iv)
HJ
Question
55
55.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
FH
=
(i)
EH
(ii)
DH
(iii)
GH
(iv)
GD
Question
56
56.
In trapezium
GHIJ
,
GI
and
HJ
are diagonals.
Then
GH
∥
(i)
IJ
(ii)
GI
(iii)
HJ
(iv)
JG
(v)
HI
Question
57
57.
In trapezium
DEFG
,
DF
and
EG
are diagonals.
Then
FG
∥
(i)
DF
(ii)
EF
(iii)
GD
(iv)
DE
(v)
EG
Question
58
58.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
GH
=
(i)
GI
(ii)
HJ
(iii)
JG
(iv)
HI
(v)
IJ
Question
59
59.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
LI
=
(i)
KL
(ii)
IJ
(iii)
JL
(iv)
IK
(v)
JK
Question
60
60.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
HI
=
(i)
JG
(ii)
GI
(iii)
IJ
(iv)
GH
(v)
HJ
Question
61
61.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
CD
=
(i)
AB
(ii)
DA
(iii)
BD
(iv)
BC
(v)
AC
Question
62
62.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠LMN
=
(i)
∠LPO
(ii)
∠NOM
(iii)
∠NOL
(iv)
∠LPM
(v)
∠LOM
Question
63
63.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠QRO
=
(i)
∠ORP
(ii)
∠OPQ
(iii)
∠OSP
(iv)
∠OSR
(v)
∠QRP
Question
64
64.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠OSR
=
(i)
∠OPQ
(ii)
∠QRO
(iii)
∠QRP
(iv)
∠ORP
(v)
∠OSP
Question
65
65.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠HLI
=
(i)
∠JKI
(ii)
∠HLK
(iii)
∠HIJ
(iv)
∠HKI
(v)
∠JKH
Question
66
66.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△HIF
≅
(i)
△IGH
(ii)
△IGF
(iii)
△HGF
(iv)
△JIF
(v)
△JHG
Question
67
67.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△DCB
≅
(i)
△DEB
(ii)
△ECD
(iii)
△FEB
(iv)
△FDC
(v)
△ECB
Question
68
68.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△EDA
≅
(i)
△EBA
(ii)
△ECD
(iii)
△DBA
(iv)
△DBC
(v)
△ECB
Question
69
69.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JGF
≅
(i)
△JHI
(ii)
△JHG
(iii)
△JIF
(iv)
△IGH
(v)
△IGF
Question
70
70.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QOP
≅
(i)
△PNO
(ii)
△QON
(iii)
△QNM
(iv)
△PNM
(v)
△QPM
Question
71
71.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FDC
≅
(i)
△ECB
(ii)
△FEB
(iii)
△FDE
(iv)
△FCB
(v)
△ECD
Question
72
72.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠DAE
=
(i)
∠BAE
(ii)
∠DEC
(iii)
∠ECD
(iv)
∠AED
(v)
∠ECB
Question
73
73.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠LKO
=
(i)
∠KON
(ii)
∠NKO
(iii)
∠OML
(iv)
∠NOM
(v)
∠OMN
Question
74
74.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠NLM
=
(i)
∠KJN
(ii)
∠JNM
(iii)
∠MNL
(iv)
∠NLK
(v)
∠MJN
Question
75
75.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠NLK
=
(i)
∠NLM
(ii)
∠MNL
(iii)
∠MJN
(iv)
∠JNM
(v)
∠KJN
Question
76
76.
Which of the following figures is a regular quadrilateral?
(i)
parallelogram
(ii)
rhombus
(iii)
trapezium
(iv)
rectangle
(v)
square
Question
77
77.
In the given figure, BCDE is a parallelogram.
If
BP
and
CP
are bisector of
∠B
&
∠C
, find
∠P
(i)
91°
(ii)
88°
(iii)
92°
(iv)
89°
(v)
90°
Question
78
78.
BCDE is a rhombus. N, O, P and Q are mid-points of sides BC, CD, DE and EB. Find ∠OPQ
(i)
89°
(ii)
91°
(iii)
92°
(iv)
88°
(v)
90°
Assignment Key
1) (iv)
2) (i)
3) (ii)
4) (v)
5) (ii)
6) (iv)
7) (i)
8) (ii)
9) (iv)
10) (iv)
11) (i)
12) (i)
13) (iii)
14) (v)
15) (i)
16) (ii)
17) (v)
18) (ii)
19) (iv)
20) (ii)
21) (ii)
22) (iv)
23) (i)
24) (iv)
25) (i)
26) (iii)
27) (iv)
28) (iii)
29) (iv)
30) (ii)
31) (iii)
32) (iii)
33) (iv)
34) (ii)
35) (ii)
36) (iii)
37) (ii)
38) (ii)
39) (iii)
40) (iv)
41) (iii)
42) (i)
43) (i)
44) (iv)
45) (iii)
46) (iv)
47) (ii)
48) (i)
49) (i)
50) (i)
51) (iii)
52) (iv)
53) (i)
54) (iv)
55) (ii)
56) (i)
57) (iv)
58) (iii)
59) (ii)
60) (iii)
61) (iv)
62) (iii)
63) (ii)
64) (v)
65) (ii)
66) (iii)
67) (i)
68) (i)
69) (iii)
70) (ii)
71) (iii)
72) (i)
73) (ii)
74) (iv)
75) (i)
76) (v)
77) (v)
78) (v)