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)
K
is the mid point of
GI
b)
∠HKG
=
∠JKI
c)
HK
=
KG
d)
△HJG
≅
△IJG
e)
GH
∥
IJ
(i)
{c,a}
(ii)
{c,a,b}
(iii)
{a,b,e}
(iv)
{d,b}
(v)
{c,d,e}
Question
2
2.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
MN
∥
(i)
NO
(ii)
PM
(iii)
MO
(iv)
NP
(v)
OP
Question
3
3.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OP
∥
(i)
MO
(ii)
NO
(iii)
PM
(iv)
NP
(v)
MN
Question
4
4.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
PM
∥
(i)
MO
(ii)
MN
(iii)
NO
(iv)
NP
(v)
OP
Question
5
5.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DE
∥
(i)
CD
(ii)
CE
(iii)
EF
(iv)
DF
(v)
FC
Question
6
6.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
AB
=
(i)
BC
(ii)
BD
(iii)
CD
(iv)
AC
(v)
DA
Question
7
7.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
RS
=
(i)
QS
(ii)
SP
(iii)
PQ
(iv)
QR
(v)
PR
Question
8
8.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
KH
=
(i)
HI
(ii)
HJ
(iii)
IK
(iv)
IJ
(v)
JK
Question
9
9.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
OP
=
(i)
NO
(ii)
NP
(iii)
PQ
(iv)
OQ
(v)
QN
Question
10
10.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△LIJ
≅
(i)
△KLM
(ii)
△IJM
(iii)
△IJK
(iv)
△KLI
(v)
△JKL
Question
11
11.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
△LMN
≅
(i)
△MNK
(ii)
△MNO
(iii)
△KLM
(iv)
△NKL
(v)
△KLO
Question
12
12.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△DEB
≅
(i)
△EBC
(ii)
△BCD
(iii)
△BCF
(iv)
△DEF
(v)
△CDE
Question
13
13.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△LMN
≅
(i)
△MNO
(ii)
△OLM
(iii)
△LMP
(iv)
△NOL
(v)
△NOP
Question
14
14.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
∠JGH
=
(i)
∠IJK
(ii)
∠HIJ
(iii)
∠GHI
(iv)
∠GHK
(v)
∠IJG
Question
15
15.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠KLM
=
(i)
∠MJK
(ii)
∠LMN
(iii)
∠LMJ
(iv)
∠JKN
(v)
∠JKL
Question
16
16.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
∠KLM
=
(i)
∠MNO
(ii)
∠KLO
(iii)
∠NKL
(iv)
∠MNK
(v)
∠LMN
Question
17
17.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
∠RSP
=
(i)
∠RST
(ii)
∠PQT
(iii)
∠PQR
(iv)
∠SPQ
(v)
∠QRS
Question
18
18.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QS
=
(i)
RO
(ii)
OS
(iii)
RS
(iv)
PS
(v)
PQ
Question
19
19.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KO
=
(i)
MO
(ii)
LO
(iii)
NO
(iv)
NK
(v)
LM
Question
20
20.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
GH
=
(i)
GD
(ii)
EF
(iii)
EH
(iv)
DH
(v)
FH
Question
21
21.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
CF
=
(i)
EF
(ii)
CD
(iii)
DF
(iv)
EB
(v)
BF
Question
22
22.
In the given figure, EFGH is a parallelogram. EG bisects ∠E & ∠G.
Given
EG = 12 cm
and
FH = 8 cm
, find
EF
(i)
9.21 cm
(ii)
6.21 cm
(iii)
8.21 cm
(iv)
7.21 cm
(v)
5.21 cm
Question
23
23.
In the given figure, GHIJ is a parallelogram. HJ is the diagonal
such that
GJ = HJ = HI
. Given
∠G = 47°
, find
∠JHI
(i)
85°
(ii)
84°
(iii)
86°
(iv)
88°
(v)
87°
Question
24
24.
In the given figure, GHIJ is a parallelogram. GM and IN are perpendicular to the diagonal HJ. Given ∠NIJ = 30°, find ∠JHG
(i)
60°
(ii)
62°
(iii)
61°
(iv)
59°
(v)
58°
Question
25
25.
In the given figure, ABCD is a parallelogram such that T is the mid-point of AB and AB = 2DA. Find ∠DTC
(i)
92°
(ii)
88°
(iii)
90°
(iv)
91°
(v)
89°
Assignment Key
1) (iii)
2) (v)
3) (v)
4) (iii)
5) (v)
6) (iii)
7) (iii)
8) (iv)
9) (v)
10) (v)
11) (iv)
12) (ii)
13) (iv)
14) (ii)
15) (i)
16) (iv)
17) (iii)
18) (ii)
19) (i)
20) (iii)
21) (i)
22) (iv)
23) (iii)
24) (i)
25) (iii)
