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)
GJ
=
JF
b)
∠GJF
=
∠IJH
c)
△JFG
≅
△JHI
d)
GJ
=
JH
e)
△JIF
≅
△JGH
(i)
{a,b,c}
(ii)
{a,b}
(iii)
{a,d,e}
(iv)
{d,c}
(v)
{b,c,e}
Question
2
2.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
CD
∥
(i)
EF
(ii)
DF
(iii)
DE
(iv)
CE
(v)
FC
Question
3
3.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
GH
∥
(i)
FG
(ii)
EG
(iii)
FH
(iv)
EF
(v)
HE
Question
4
4.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
IF
∥
(i)
HI
(ii)
GI
(iii)
FH
(iv)
GH
(v)
FG
Question
5
5.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
EF
∥
(i)
EG
(ii)
FG
(iii)
DF
(iv)
DE
(v)
GD
Question
6
6.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
MN
=
(i)
NP
(ii)
PM
(iii)
NO
(iv)
MO
(v)
OP
Question
7
7.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
CD
=
(i)
AB
(ii)
AC
(iii)
BD
(iv)
DA
(v)
BC
Question
8
8.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
HE
=
(i)
FG
(ii)
EF
(iii)
EG
(iv)
FH
(v)
GH
Question
9
9.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
KL
=
(i)
MJ
(ii)
KM
(iii)
JL
(iv)
LM
(v)
JK
Question
10
10.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
△KHI
≅
(i)
△JKL
(ii)
△HIJ
(iii)
△HIL
(iv)
△JKH
(v)
△IJK
Question
11
11.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△NOP
≅
(i)
△MNQ
(ii)
△PMN
(iii)
△MNO
(iv)
△OPQ
(v)
△OPM
Question
12
12.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△LMJ
≅
(i)
△LMN
(ii)
△JKL
(iii)
△KLM
(iv)
△JKN
(v)
△MJK
Question
13
13.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
△OPQ
≅
(i)
△OPS
(ii)
△QRS
(iii)
△ROP
(iv)
△QRO
(v)
△PQR
Question
14
14.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
∠QNO
=
(i)
∠NOR
(ii)
∠OPQ
(iii)
∠PQR
(iv)
∠NOP
(v)
∠PQN
Question
15
15.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠IJK
=
(i)
∠KHI
(ii)
∠HIJ
(iii)
∠JKH
(iv)
∠JKL
(v)
∠HIL
Question
16
16.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠HIJ
=
(i)
∠JKH
(ii)
∠IJK
(iii)
∠JKL
(iv)
∠HIL
(v)
∠KHI
Question
17
17.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠QRO
=
(i)
∠ROP
(ii)
∠OPQ
(iii)
∠OPS
(iv)
∠PQR
(v)
∠QRS
Question
18
18.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
KM
=
(i)
JK
(ii)
LI
(iii)
JM
(iv)
LM
(v)
IM
Question
19
19.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
MQ
=
(i)
PQ
(ii)
PM
(iii)
NO
(iv)
NQ
(v)
OQ
Question
20
20.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
FG
=
(i)
DG
(ii)
DE
(iii)
FC
(iv)
EG
(v)
CG
Question
21
21.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
QT
=
(i)
SP
(ii)
PT
(iii)
ST
(iv)
RT
(v)
QR
Question
22
22.
In the given figure, FGHI is a parallelogram. FH bisects ∠F & ∠H.
Given
FH = 12 cm
and
GI = 8 cm
, find
FG
(i)
5.21 cm
(ii)
6.21 cm
(iii)
8.21 cm
(iv)
9.21 cm
(v)
7.21 cm
Question
23
23.
In the given figure, DEFG is a parallelogram. EG is the diagonal
such that
DG = EG = EF
. Given
∠D = 62°
, find
∠GEF
(i)
58°
(ii)
56°
(iii)
55°
(iv)
54°
(v)
57°
Question
24
24.
In the given figure, DEFG is a parallelogram. DR and FS are perpendicular to the diagonal EG. Given ∠SFG = 40°, find ∠GED
(i)
50°
(ii)
48°
(iii)
49°
(iv)
52°
(v)
51°
Question
25
25.
In the given figure, CDEF is a parallelogram such that S is the mid-point of CD and CD = 2FC. Find ∠FSE
(i)
91°
(ii)
89°
(iii)
90°
(iv)
92°
(v)
88°
Assignment Key
1) (v)
2) (i)
3) (iv)
4) (iv)
5) (v)
6) (v)
7) (i)
8) (i)
9) (i)
10) (v)
11) (ii)
12) (ii)
13) (iv)
14) (ii)
15) (i)
16) (i)
17) (ii)
18) (v)
19) (v)
20) (i)
21) (iii)
22) (v)
23) (ii)
24) (i)
25) (iii)
