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)
R
is the mid point of
NP
b)
△OQN
≅
△PQN
c)
OR
=
RN
d)
∠OPQ
=
∠QNO
e)
△RQN
≅
△ROP
(i)
{a,d,e}
(ii)
{b,a,d}
(iii)
{c,d}
(iv)
{b,a}
(v)
{b,c,e}
Question
2
2.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KL
∥
(i)
MN
(ii)
LM
(iii)
KM
(iv)
NK
(v)
LN
Question
3
3.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
KL
∥
(i)
IJ
(ii)
IK
(iii)
JL
(iv)
JK
(v)
LI
Question
4
4.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
EB
∥
(i)
BD
(ii)
BC
(iii)
CD
(iv)
DE
(v)
CE
Question
5
5.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QR
∥
(i)
PQ
(ii)
RS
(iii)
PR
(iv)
QS
(v)
SP
Question
6
6.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
IJ
=
(i)
LI
(ii)
JK
(iii)
IK
(iv)
KL
(v)
JL
Question
7
7.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OP
=
(i)
PM
(ii)
MN
(iii)
NO
(iv)
MO
(v)
NP
Question
8
8.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
KH
=
(i)
IJ
(ii)
HJ
(iii)
IK
(iv)
HI
(v)
JK
Question
9
9.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
EF
=
(i)
DE
(ii)
GD
(iii)
FG
(iv)
EG
(v)
DF
Question
10
10.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△IFG
≅
(i)
△FGJ
(ii)
△GHI
(iii)
△HIF
(iv)
△FGH
(v)
△HIJ
Question
11
11.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△FGH
≅
(i)
△GHE
(ii)
△EFG
(iii)
△HEF
(iv)
△GHI
(v)
△EFI
Question
12
12.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△FGD
≅
(i)
△DEF
(ii)
△EFG
(iii)
△FGH
(iv)
△DEH
(v)
△GDE
Question
13
13.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
△DEF
≅
(i)
△GDE
(ii)
△EFG
(iii)
△DEH
(iv)
△FGD
(v)
△FGH
Question
14
14.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠IFG
=
(i)
∠GHI
(ii)
∠FGH
(iii)
∠HIF
(iv)
∠FGJ
(v)
∠HIJ
Question
15
15.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠KLM
=
(i)
∠MJK
(ii)
∠LMN
(iii)
∠JKL
(iv)
∠JKN
(v)
∠LMJ
Question
16
16.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
∠DEF
=
(i)
∠FGH
(ii)
∠DEH
(iii)
∠GDE
(iv)
∠FGD
(v)
∠EFG
Question
17
17.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠HIF
=
(i)
∠GHI
(ii)
∠FGH
(iii)
∠HIJ
(iv)
∠IFG
(v)
∠FGJ
Question
18
18.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
HJ
=
(i)
FJ
(ii)
GJ
(iii)
IF
(iv)
IJ
(v)
GH
Question
19
19.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
DH
=
(i)
EH
(ii)
GH
(iii)
EF
(iv)
GD
(v)
FH
Question
20
20.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
GH
=
(i)
FH
(ii)
EH
(iii)
DH
(iv)
GD
(v)
EF
Question
21
21.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
OR
=
(i)
OP
(ii)
PR
(iii)
NR
(iv)
QR
(v)
QN
Question
22
22.
In the given figure, HIJK is a parallelogram. HJ bisects ∠H & ∠J.
Given
HJ = 12 cm
and
IK = 8 cm
, find
HI
(i)
8.21 cm
(ii)
9.21 cm
(iii)
7.21 cm
(iv)
5.21 cm
(v)
6.21 cm
Question
23
23.
In the given figure, KLMN is a parallelogram. LN is the diagonal
such that
KN = LN = LM
. Given
∠K = 59°
, find
∠NLM
(i)
61°
(ii)
64°
(iii)
63°
(iv)
60°
(v)
62°
Question
24
24.
In the given figure, FGHI is a parallelogram. FN and HO are perpendicular to the diagonal GI. Given ∠OHI = 42°, find ∠IGF
(i)
48°
(ii)
50°
(iii)
47°
(iv)
46°
(v)
49°
Question
25
25.
In the given figure, BCDE is a parallelogram such that P is the mid-point of BC and BC = 2EB. Find ∠EPD
(i)
88°
(ii)
92°
(iii)
90°
(iv)
89°
(v)
91°
Assignment Key
1) (i)
2) (i)
3) (i)
4) (iii)
5) (v)
6) (iv)
7) (ii)
8) (i)
9) (ii)
10) (ii)
11) (iii)
12) (i)
13) (iv)
14) (i)
15) (i)
16) (iv)
17) (ii)
18) (i)
19) (v)
20) (ii)
21) (iv)
22) (iii)
23) (v)
24) (i)
25) (iii)
