EduSahara™ Assignment
Name : Rhombus Properties Using Diagrams
Chapter : Quadrilaterals
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
HI
∥
(i)
IK
(ii)
JK
(iii)
KH
(iv)
IJ
Question
2
2.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
FG
∥
(i)
GD
(ii)
EF
(iii)
DE
(iv)
EG
Question
3
3.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OL
∥
(i)
MN
(ii)
LM
(iii)
MO
(iv)
NO
Question
4
4.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
IJ
∥
(i)
IK
(ii)
HI
(iii)
KH
(iv)
JK
Question
5
5.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
AB
≠
(i)
BC
(ii)
DA
(iii)
BD
(iv)
CD
Question
6
6.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
EF
≠
(i)
DE
(ii)
CD
(iii)
FC
(iv)
DF
Question
7
7.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
JG
≠
(i)
GH
(ii)
HI
(iii)
IJ
(iv)
HJ
Question
8
8.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
BC
≠
(i)
AB
(ii)
DA
(iii)
BD
(iv)
CD
Question
9
9.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△SPQ
≅
(i)
△QRS
(ii)
△PQR
(iii)
△TPQ
(iv)
△RSP
Question
10
10.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△IJK
≅
(i)
△JKH
(ii)
△HIJ
(iii)
△KHI
(iv)
△LHI
Question
11
11.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△NOL
≅
(i)
△OLM
(ii)
△MNO
(iii)
△PLM
(iv)
△LMN
Question
12
12.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△KLM
≅
(i)
△OKL
(ii)
△MNK
(iii)
△NKL
(iv)
△LMN
Question
13
13.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△PLM
≇
(i)
△PNM
(ii)
△OLM
(iii)
△PLO
(iv)
△PNO
Question
14
14.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△PNM
≇
(i)
△PLO
(ii)
△OLM
(iii)
△PLM
(iv)
△PNO
Question
15
15.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IGH
≇
(i)
△IEH
(ii)
△HEF
(iii)
△IGF
(iv)
△IEF
Question
16
16.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NJM
≇
(i)
△NJK
(ii)
△MJK
(iii)
△NLM
(iv)
△NLK
Question
17
17.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠GDE
=
(i)
∠FGD
(ii)
∠EFG
(iii)
∠DEF
(iv)
∠DEH
Question
18
18.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠OPQ
=
(i)
∠PQN
(ii)
∠QNO
(iii)
∠NOR
(iv)
∠NOP
Question
19
19.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠HIJ
=
(i)
∠JKH
(ii)
∠IJK
(iii)
∠HIL
(iv)
∠KHI
Question
20
20.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠HIF
=
(i)
∠GHI
(ii)
∠IFG
(iii)
∠FGH
(iv)
∠FGJ
Question
21
21.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠ILH
≠
(i)
∠HLK
(ii)
∠KLJ
(iii)
∠KHI
(iv)
∠JLI
Question
22
22.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠HIG
≠
(i)
∠GIF
(ii)
∠FIE
(iii)
∠HEF
(iv)
∠EIH
Question
23
23.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠LPO
≠
(i)
∠NPM
(ii)
∠MPL
(iii)
∠OPN
(iv)
∠OLM
Question
24
24.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠EGD
≠
(i)
∠FGE
(ii)
∠DGC
(iii)
∠CGF
(iv)
∠FCD
Question
25
25.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠HDE
≠
(i)
∠DHG
(ii)
∠EFH
(iii)
∠HFG
(iv)
∠GDH
Question
26
26.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠MKL
≠
(i)
∠JKM
(ii)
∠IML
(iii)
∠LIM
(iv)
∠MIJ
Question
27
27.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠OLP
≠
(i)
∠PNO
(ii)
∠LPO
(iii)
∠MNP
(iv)
∠PLM
Question
28
28.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DEG
≠
(i)
∠GCD
(ii)
∠GEF
(iii)
∠CGF
(iv)
∠FCG
Question
29
29.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠LKH
≠
(i)
∠HIL
(ii)
∠JKL
(iii)
∠LIJ
(iv)
∠KLJ
Question
30
30.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QNO
≠
(i)
∠OPQ
(ii)
∠PQO
(iii)
∠QPM
(iv)
∠MNQ
Question
31
31.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠PQT
≠
(i)
∠RST
(ii)
∠TSP
(iii)
∠TQR
(iv)
∠STR
Question
32
32.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠CDE
≠
(i)
∠EBC
(ii)
∠DEC
(iii)
∠EDA
(iv)
∠ABE
Question
33
33.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RS
=
(i)
OS
(ii)
PS
(iii)
QS
(iv)
RO
Question
34
34.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
CF
=
(i)
DF
(ii)
BF
(iii)
EF
(iv)
EB
Question
35
35.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
NR
=
(i)
PR
(ii)
QN
(iii)
QR
(iv)
OR
Question
36
36.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
EG
=
(i)
CG
(ii)
FC
(iii)
FG
(iv)
DG
Question
37
37.
In the given figure, FGHI is a rhombus. Given x = 66°, find the value of 'y'.
(i)
25°
(ii)
24°
(iii)
22°
(iv)
23°
(v)
26°
Question
38
38.
In the given figure, DEFG is a rhombus such that ∠E = 120°. Then △DEG is
(i)
Equilateral triangle
(ii)
Isosceles triangle
(iii)
Right angled triangle
(iv)
Obtuse angled triangle
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (iii)
5) (iii)
6) (iv)
7) (iv)
8) (iii)
9) (i)
10) (iii)
11) (iv)
12) (ii)
13) (ii)
14) (ii)
15) (ii)
16) (ii)
17) (ii)
18) (ii)
19) (i)
20) (iii)
21) (iii)
22) (iii)
23) (iv)
24) (iv)
25) (i)
26) (ii)
27) (ii)
28) (iii)
29) (iv)
30) (ii)
31) (iv)
32) (ii)
33) (ii)
34) (iii)
35) (i)
36) (i)
37) (ii)
38) (i)