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)
∠ILH
=
∠KLJ
b)
△IKH
≅
△JKH
c)
IL
=
LH
d)
IL
=
KL
e)
HI
∥
JK
(i)
{b,a,d}
(ii)
{a,d,e}
(iii)
{b,c,e}
(iv)
{c,d}
(v)
{b,a}
Question
2
2.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
MN
∥
(i)
MO
(ii)
OP
(iii)
NP
(iv)
NO
(v)
PM
Question
3
3.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
CD
∥
(i)
DA
(ii)
BD
(iii)
AB
(iv)
BC
(v)
AC
Question
4
4.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
QN
∥
(i)
PQ
(ii)
NP
(iii)
NO
(iv)
OP
(v)
OQ
Question
5
5.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
NO
∥
(i)
MO
(ii)
MN
(iii)
NP
(iv)
PM
(v)
OP
Question
6
6.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CD
=
(i)
EF
(ii)
CE
(iii)
DF
(iv)
DE
(v)
FC
Question
7
7.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
LM
=
(i)
MJ
(ii)
JL
(iii)
KM
(iv)
JK
(v)
KL
Question
8
8.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
LI
=
(i)
IK
(ii)
JL
(iii)
JK
(iv)
KL
(v)
IJ
Question
9
9.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DE
=
(i)
DF
(ii)
CD
(iii)
CE
(iv)
EF
(v)
FC
Question
10
10.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△OLM
≅
(i)
△LMP
(ii)
△LMN
(iii)
△NOL
(iv)
△NOP
(v)
△MNO
Question
11
11.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
△BCD
≅
(i)
△DAB
(ii)
△ABE
(iii)
△CDE
(iv)
△ABC
(v)
△CDA
Question
12
12.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△OPM
≅
(i)
△MNQ
(ii)
△PMN
(iii)
△OPQ
(iv)
△MNO
(v)
△NOP
Question
13
13.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△OPQ
≅
(i)
△QRO
(ii)
△PQR
(iii)
△ROP
(iv)
△OPS
(v)
△QRS
Question
14
14.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
∠GDE
=
(i)
∠DEH
(ii)
∠DEF
(iii)
∠EFG
(iv)
∠FGH
(v)
∠FGD
Question
15
15.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
∠OPQ
=
(i)
∠NOP
(ii)
∠PQR
(iii)
∠NOR
(iv)
∠QNO
(v)
∠PQN
Question
16
16.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
∠NOP
=
(i)
∠QNO
(ii)
∠OPQ
(iii)
∠PQN
(iv)
∠PQR
(v)
∠NOR
Question
17
17.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠NOL
=
(i)
∠LMN
(ii)
∠OLM
(iii)
∠MNO
(iv)
∠LMP
(v)
∠NOP
Question
18
18.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
NP
=
(i)
LP
(ii)
MN
(iii)
OP
(iv)
MP
(v)
OL
Question
19
19.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KO
=
(i)
LM
(ii)
NK
(iii)
NO
(iv)
LO
(v)
MO
Question
20
20.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
RS
=
(i)
OS
(ii)
PQ
(iii)
RO
(iv)
PS
(v)
QS
Question
21
21.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IL
=
(i)
KH
(ii)
KL
(iii)
HL
(iv)
IJ
(v)
JL
Question
22
22.
In the given figure, BCDE is a parallelogram. BD bisects ∠B & ∠D.
Given
BD = 12 cm
and
CE = 8 cm
, find
BC
(i)
8.21 cm
(ii)
5.21 cm
(iii)
6.21 cm
(iv)
9.21 cm
(v)
7.21 cm
Question
23
23.
In the given figure, HIJK is a parallelogram. IK is the diagonal
such that
HK = IK = IJ
. Given
∠H = 60°
, find
∠KIJ
(i)
61°
(ii)
62°
(iii)
60°
(iv)
59°
(v)
58°
Question
24
24.
In the given figure, GHIJ is a parallelogram. GO and IP are perpendicular to the diagonal HJ. Given ∠PIJ = 35°, find ∠JHG
(i)
57°
(ii)
55°
(iii)
53°
(iv)
54°
(v)
56°
Question
25
25.
In the given figure, DEFG is a parallelogram such that P is the mid-point of DE and DE = 2GD. Find ∠GPF
(i)
88°
(ii)
92°
(iii)
89°
(iv)
91°
(v)
90°
Assignment Key
1) (ii)
2) (ii)
3) (iii)
4) (iv)
5) (iv)
6) (i)
7) (iv)
8) (iii)
9) (v)
10) (v)
11) (i)
12) (iv)
13) (i)
14) (iii)
15) (iv)
16) (iii)
17) (i)
18) (i)
19) (v)
20) (iv)
21) (ii)
22) (v)
23) (iii)
24) (ii)
25) (v)
