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)
OL
∥
MN
b)
LM
∥
NO
c)
△PLM
≅
△PNO
d)
△MOL
≅
△NOL
e)
MP
=
PL
(i)
{d,a,b}
(ii)
{d,a}
(iii)
{e,b}
(iv)
{d,e,c}
(v)
{a,b,c}
Question
2
2.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
IJ
∥
(i)
KL
(ii)
JL
(iii)
IK
(iv)
LI
(v)
JK
Question
3
3.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
LM
∥
(i)
JL
(ii)
JK
(iii)
KM
(iv)
MJ
(v)
KL
Question
4
4.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
EB
∥
(i)
BC
(ii)
BD
(iii)
CD
(iv)
DE
(v)
CE
Question
5
5.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GH
∥
(i)
IF
(ii)
FG
(iii)
FH
(iv)
HI
(v)
GI
Question
6
6.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
FG
=
(i)
IF
(ii)
FH
(iii)
HI
(iv)
GI
(v)
GH
Question
7
7.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
NO
=
(i)
LM
(ii)
MO
(iii)
OL
(iv)
MN
(v)
LN
Question
8
8.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
OL
=
(i)
LN
(ii)
MO
(iii)
MN
(iv)
LM
(v)
NO
Question
9
9.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DE
=
(i)
FC
(ii)
CD
(iii)
EF
(iv)
DF
(v)
CE
Question
10
10.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△OLM
≅
(i)
△NOL
(ii)
△LMP
(iii)
△LMN
(iv)
△NOP
(v)
△MNO
Question
11
11.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△PQR
≅
(i)
△OPQ
(ii)
△QRO
(iii)
△ROP
(iv)
△OPS
(v)
△QRS
Question
12
12.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△RSP
≅
(i)
△PQR
(ii)
△PQT
(iii)
△QRS
(iv)
△SPQ
(v)
△RST
Question
13
13.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△BCD
≅
(i)
△DEF
(ii)
△EBC
(iii)
△DEB
(iv)
△CDE
(v)
△BCF
Question
14
14.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
∠HEF
=
(i)
∠EFG
(ii)
∠FGH
(iii)
∠GHE
(iv)
∠EFI
(v)
∠GHI
Question
15
15.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠MNO
=
(i)
∠NOL
(ii)
∠NOP
(iii)
∠LMN
(iv)
∠OLM
(v)
∠LMP
Question
16
16.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠HIJ
=
(i)
∠JKH
(ii)
∠JKL
(iii)
∠KHI
(iv)
∠HIL
(v)
∠IJK
Question
17
17.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
∠MNK
=
(i)
∠KLM
(ii)
∠KLO
(iii)
∠MNO
(iv)
∠LMN
(v)
∠NKL
Question
18
18.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
PR
=
(i)
QR
(ii)
OR
(iii)
QN
(iv)
NR
(v)
OP
Question
19
19.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
BF
=
(i)
CD
(ii)
EB
(iii)
EF
(iv)
DF
(v)
CF
Question
20
20.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
LM
=
(i)
JK
(ii)
KM
(iii)
IM
(iv)
LI
(v)
JM
Question
21
21.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
NQ
=
(i)
NO
(ii)
MQ
(iii)
PQ
(iv)
PM
(v)
OQ
Question
22
22.
In the given figure, BCDE is a parallelogram. BD bisects ∠B & ∠D.
Given
BD = 9 cm
and
CE = 6 cm
, find
BC
(i)
7.41 cm
(ii)
3.41 cm
(iii)
6.41 cm
(iv)
4.41 cm
(v)
5.41 cm
Question
23
23.
In the given figure, HIJK is a parallelogram. IK is the diagonal
such that
HK = IK = IJ
. Given
∠H = 46°
, find
∠KIJ
(i)
89°
(ii)
90°
(iii)
88°
(iv)
86°
(v)
87°
Question
24
24.
In the given figure, ABCD is a parallelogram. AQ and CR are perpendicular to the diagonal BD. Given ∠QAB = 39°, find ∠CDB
(i)
53°
(ii)
49°
(iii)
52°
(iv)
51°
(v)
50°
Question
25
25.
In the given figure, HIJK is a parallelogram such that R is the mid-point of HI and HI = 2KH. Find ∠KRJ
(i)
90°
(ii)
88°
(iii)
91°
(iv)
92°
(v)
89°
Assignment Key
1) (v)
2) (i)
3) (ii)
4) (iii)
5) (i)
6) (iii)
7) (i)
8) (iii)
9) (i)
10) (v)
11) (iii)
12) (i)
13) (iii)
14) (ii)
15) (iv)
16) (i)
17) (i)
18) (iv)
19) (iv)
20) (v)
21) (iii)
22) (v)
23) (iii)
24) (iv)
25) (i)
