EduSahara™ Assignment
Name : Paralellogram Properties Using Diagrams
Chapter : Quadrilaterals
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
In the given parallelogram, which of the following statements are true?
a)
△OQN
≅
△PQN
b)
NO
∥
PQ
c)
OR
=
QR
d)
OR
=
RP
e)
△RNO
≅
△RPQ
(i)
{a,d,e}
(ii)
{b,c,e}
(iii)
{d,c}
(iv)
{a,b}
(v)
{a,b,c}
Question
2
2.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KL
∥
(i)
MN
(ii)
NK
(iii)
LN
(iv)
KM
(v)
LM
Question
3
3.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
MN
∥
(i)
NK
(ii)
KM
(iii)
LM
(iv)
LN
(v)
KL
Question
4
4.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
∥
(i)
LN
(ii)
NO
(iii)
LM
(iv)
MO
(v)
MN
Question
5
5.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DE
∥
(i)
DF
(ii)
FC
(iii)
CD
(iv)
CE
(v)
EF
Question
6
6.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
=
(i)
EG
(ii)
FG
(iii)
HE
(iv)
FH
(v)
GH
Question
7
7.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HI
=
(i)
GI
(ii)
IF
(iii)
GH
(iv)
FG
(v)
FH
Question
8
8.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
HE
=
(i)
EG
(ii)
FH
(iii)
EF
(iv)
GH
(v)
FG
Question
9
9.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
=
(i)
HI
(ii)
IK
(iii)
HJ
(iv)
KH
(v)
JK
Question
10
10.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△GDE
≅
(i)
△DEH
(ii)
△FGD
(iii)
△EFG
(iv)
△DEF
(v)
△FGH
Question
11
11.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△CDE
≅
(i)
△DEF
(ii)
△EBC
(iii)
△DEB
(iv)
△BCF
(v)
△BCD
Question
12
12.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△HIF
≅
(i)
△GHI
(ii)
△IFG
(iii)
△HIJ
(iv)
△FGH
(v)
△FGJ
Question
13
13.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
△ABC
≅
(i)
△CDE
(ii)
△ABE
(iii)
△BCD
(iv)
△DAB
(v)
△CDA
Question
14
14.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠KHI
=
(i)
∠HIJ
(ii)
∠IJK
(iii)
∠JKH
(iv)
∠HIL
(v)
∠JKL
Question
15
15.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠PQR
=
(i)
∠QRO
(ii)
∠ROP
(iii)
∠OPS
(iv)
∠OPQ
(v)
∠QRS
Question
16
16.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠OPQ
=
(i)
∠QRS
(ii)
∠ROP
(iii)
∠QRO
(iv)
∠PQR
(v)
∠OPS
Question
17
17.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
∠MNK
=
(i)
∠LMN
(ii)
∠MNO
(iii)
∠NKL
(iv)
∠KLO
(v)
∠KLM
Question
18
18.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
RT
=
(i)
PT
(ii)
QT
(iii)
SP
(iv)
ST
(v)
QR
Question
19
19.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
NR
=
(i)
PR
(ii)
OR
(iii)
OP
(iv)
QR
(v)
QN
Question
20
20.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
GH
=
(i)
EF
(ii)
GD
(iii)
EH
(iv)
FH
(v)
DH
Question
21
21.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DG
=
(i)
CG
(ii)
FC
(iii)
FG
(iv)
DE
(v)
EG
Question
22
22.
In the given figure, ABCD is a parallelogram. AC bisects ∠A & ∠C.
Given
AC = 12 cm
and
BD = 8 cm
, find
AB
(i)
7.21 cm
(ii)
6.21 cm
(iii)
9.21 cm
(iv)
8.21 cm
(v)
5.21 cm
Question
23
23.
In the given figure, CDEF is a parallelogram. DF is the diagonal
such that
CF = DF = DE
. Given
∠C = 64°
, find
∠FDE
(i)
50°
(ii)
52°
(iii)
51°
(iv)
53°
(v)
54°
Question
24
24.
In the given figure, HIJK is a parallelogram. HO and JP are perpendicular to the diagonal IK. Given ∠OHI = 28°, find ∠JKI
(i)
63°
(ii)
60°
(iii)
62°
(iv)
61°
(v)
64°
Question
25
25.
In the given figure, BCDE is a parallelogram such that T is the mid-point of BC and BC = 2EB. Find ∠ETD
(i)
89°
(ii)
91°
(iii)
92°
(iv)
90°
(v)
88°
Assignment Key
1) (ii)
2) (i)
3) (v)
4) (v)
5) (ii)
6) (v)
7) (iv)
8) (v)
9) (iv)
10) (iii)
11) (ii)
12) (iv)
13) (v)
14) (ii)
15) (ii)
16) (iii)
17) (v)
18) (i)
19) (i)
20) (iii)
21) (iii)
22) (i)
23) (ii)
24) (iii)
25) (iv)
