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)
JM
=
MI
b)
JM
=
MK
c)
M
is the mid point of
JL
d)
∠JMI
=
∠LMK
e)
∠JKL
=
∠LIJ
(i)
{c,d,e}
(ii)
{a,b,e}
(iii)
{a,c,d}
(iv)
{a,c}
(v)
{b,d}
Question
2
2.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
BC
∥
(i)
EB
(ii)
CD
(iii)
DE
(iv)
BD
(v)
CE
Question
3
3.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
LM
∥
(i)
KM
(ii)
JK
(iii)
JL
(iv)
KL
(v)
MJ
Question
4
4.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
SP
∥
(i)
PR
(ii)
QR
(iii)
PQ
(iv)
RS
(v)
QS
Question
5
5.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GH
∥
(i)
GI
(ii)
FG
(iii)
HI
(iv)
FH
(v)
IF
Question
6
6.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
GH
=
(i)
HI
(ii)
HJ
(iii)
JG
(iv)
GI
(v)
IJ
Question
7
7.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
PQ
=
(i)
NP
(ii)
OQ
(iii)
QN
(iv)
NO
(v)
OP
Question
8
8.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
JG
=
(i)
GI
(ii)
GH
(iii)
HI
(iv)
IJ
(v)
HJ
Question
9
9.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
MN
=
(i)
LN
(ii)
LM
(iii)
MO
(iv)
NO
(v)
OL
Question
10
10.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△HEF
≅
(i)
△GHI
(ii)
△FGH
(iii)
△GHE
(iv)
△EFG
(v)
△EFI
Question
11
11.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△HIJ
≅
(i)
△JGH
(ii)
△GHK
(iii)
△GHI
(iv)
△IJG
(v)
△IJK
Question
12
12.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△HIF
≅
(i)
△FGJ
(ii)
△IFG
(iii)
△GHI
(iv)
△HIJ
(v)
△FGH
Question
13
13.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
△MNO
≅
(i)
△MNQ
(ii)
△NOP
(iii)
△PMN
(iv)
△OPM
(v)
△OPQ
Question
14
14.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠IFG
=
(i)
∠FGH
(ii)
∠HIF
(iii)
∠FGJ
(iv)
∠GHI
(v)
∠HIJ
Question
15
15.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
∠PQR
=
(i)
∠OPS
(ii)
∠OPQ
(iii)
∠QRS
(iv)
∠QRO
(v)
∠ROP
Question
16
16.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠MNO
=
(i)
∠OPQ
(ii)
∠PMN
(iii)
∠OPM
(iv)
∠MNQ
(v)
∠NOP
Question
17
17.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
∠GHE
=
(i)
∠EFI
(ii)
∠GHI
(iii)
∠FGH
(iv)
∠EFG
(v)
∠HEF
Question
18
18.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
RT
=
(i)
SP
(ii)
ST
(iii)
PT
(iv)
QT
(v)
QR
Question
19
19.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
LP
=
(i)
OL
(ii)
MP
(iii)
OP
(iv)
MN
(v)
NP
Question
20
20.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
NO
=
(i)
KO
(ii)
LO
(iii)
LM
(iv)
MO
(v)
NK
Question
21
21.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DG
=
(i)
EG
(ii)
FC
(iii)
DE
(iv)
CG
(v)
FG
Question
22
22.
In the given figure, ABCD is a parallelogram. AC bisects ∠A & ∠C.
Given
AC = 9 cm
and
BD = 6 cm
, find
AB
(i)
3.41 cm
(ii)
7.41 cm
(iii)
5.41 cm
(iv)
6.41 cm
(v)
4.41 cm
Question
23
23.
In the given figure, GHIJ is a parallelogram. HJ is the diagonal
such that
GJ = HJ = HI
. Given
∠G = 54°
, find
∠JHI
(i)
74°
(ii)
73°
(iii)
72°
(iv)
70°
(v)
71°
Question
24
24.
In the given figure, BCDE is a parallelogram. BR and DS are perpendicular to the diagonal CE. Given ∠RBC = 42°, find ∠DEC
(i)
46°
(ii)
47°
(iii)
49°
(iv)
48°
(v)
50°
Question
25
25.
In the given figure, DEFG is a parallelogram such that Q is the mid-point of DE and DE = 2GD. Find ∠GQF
(i)
90°
(ii)
91°
(iii)
92°
(iv)
89°
(v)
88°
Assignment Key
1) (i)
2) (iii)
3) (ii)
4) (ii)
5) (v)
6) (v)
7) (iv)
8) (iii)
9) (v)
10) (ii)
11) (i)
12) (v)
13) (iv)
14) (iv)
15) (v)
16) (iii)
17) (iv)
18) (iii)
19) (v)
20) (ii)
21) (v)
22) (iii)
23) (iii)
24) (iv)
25) (i)
