EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The angles of a quadrilateral BCDE are in the ratio 8 : 6 : 11 : 15. Find the measure of each angle of the quadrilateral.
(i)
B
=
71°
,
C
=
52°
,
D
=
100°
,
E
=
137°
(ii)
B
=
70°
,
C
=
56°
,
D
=
98°
,
E
=
136°
(iii)
B
=
74°
,
C
=
53°
,
D
=
97°
,
E
=
136°
(iv)
B
=
73°
,
C
=
53°
,
D
=
101°
,
E
=
133°
(v)
B
=
72°
,
C
=
54°
,
D
=
99°
,
E
=
135°
Question
2
2.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△QRO
≅
(i)
△ROP
(ii)
△PQR
(iii)
△SOP
(iv)
△OPQ
Question
3
3.
Identify the figure below
(i)
trapezium
(ii)
rectangle
(iii)
angle
(iv)
square
(v)
parallelogram
Question
4
4.
In the given figure, FGHI is a parallelogram. The bisector of the angles F, G, H & I intersect at Q, R, S & T to form a quadrilateral. Find ∠RST
(i)
90°
(ii)
91°
(iii)
89°
(iv)
92°
(v)
88°
Question
5
5.
In trapezium
DEFG
,
DF
and
EG
are diagonals.
Then
DE
∥
(i)
EG
(ii)
FG
(iii)
DF
(iv)
GD
(v)
EF
Question
6
6.
Which of the following are true?
a)
A parallelogram is a square
b)
A rectangle is a square
c)
A square is a parallelogram
d)
A rectangle is a parallelogram
e)
A parallelogram is a rectangle
(i)
{b,d}
(ii)
{b,d,c}
(iii)
{c,d}
(iv)
{e,a,c}
(v)
{a,c}
Question
7
7.
In the given figure, ABCD is a parallelogram such that S is the mid-point of AB and AB = 2DA. Find ∠DSC
(i)
91°
(ii)
90°
(iii)
89°
(iv)
92°
(v)
88°
Question
8
8.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
MJ
∥
(i)
JK
(ii)
KM
(iii)
KL
(iv)
JL
(v)
LM
Question
9
9.
Name all quadrilaterals whose all sides are equal
(i)
square,rhombus
(ii)
square,rectangle
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,parallelogram
(v)
rectangle,rhombus
Question
10
10.
Identify the figure below
(i)
rectangle
(ii)
rhombus
(iii)
kite
(iv)
triangle
(v)
angle
Question
11
11.
If the opposite angles of a parallelogram are supplementary, the measure of each of its angles is
(i)
88°
(ii)
89°
(iii)
90°
(iv)
92°
(v)
91°
Question
12
12.
The vertices of the parallelogram are
(i)
H , I , J , M
(ii)
H , I , K , L
(iii)
H , I , K , M
(iv)
H , I , J , L
(v)
H , I , J , K
Question
13
13.
The diagonals are equal in a
a)
rectangle
b)
trapezium
c)
rhombus
d)
parallelogram
e)
square
(i)
{c,e}
(ii)
{b,a}
(iii)
{d,b,a}
(iv)
{c,e,a}
(v)
{a,e}
Question
14
14.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠EBF
≠
(i)
∠BFE
(ii)
∠CDF
(iii)
∠FDE
(iv)
∠FBC
Question
15
15.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠NOM
≠
(i)
∠KON
(ii)
∠MOL
(iii)
∠NKL
(iv)
∠LOK
Question
16
16.
In the given figure, IJKL is a trapezium. M and N are mid-points of IL and JK.Given IJ = 20 cm and MN = 14 cm, find KL
(i)
8.0 cm
(ii)
7.0 cm
(iii)
6.0 cm
(iv)
10.0 cm
(v)
9.0 cm
Question
17
17.
In the given figure, EFGH is a rhombus. Given x = 59°, find the value of 'y'.
(i)
30°
(ii)
32°
(iii)
31°
(iv)
29°
(v)
33°
Question
18
18.
Which of the following statements are true?
a)
In a parallelogram, adjacent angles are complementary
b)
In a parallelogram, both adjacent angles can be obtuse
c)
In a parallelogram, adjacent angles are supplementary
d)
In a parallelogram, both adjacent angles can be acute
e)
In a parallelogram, both adjacent angles can be right angles
(i)
{b,e,c}
(ii)
{c,e}
(iii)
{d,a,c}
(iv)
{b,e}
(v)
{a,c}
Question
19
19.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
MN
≠
(i)
MO
(ii)
OL
(iii)
NO
(iv)
LM
Question
20
20.
Name all quadrilaterals whose opposite angles are equal
(i)
rectangle,rhombus
(ii)
square,kite
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,parallelogram
(v)
square,rectangle
Question
21
21.
In the given figure, BCDE is a quadrilateral. RE and RD are bisectors of ∠E & ∠D meeting at R. Find ∠DRE
(i)
96.5°
(ii)
98.5°
(iii)
97.5°
(iv)
94.5°
(v)
95.5°
Question
22
22.
Name all quadrilaterals whose diagonals bisect each other
(i)
square,rectangle
(ii)
rectangle,rhombus
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,rhombus
(v)
square,kite
Question
23
23.
Find the missing angle in the given quadrilateral
(i)
49.36°
(ii)
59.36°
(iii)
54.36°
(iv)
64.36°
(v)
79.36°
Question
24
24.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FDC
≅
(i)
△ECB
(ii)
△FCB
(iii)
△FDE
(iv)
△ECD
(v)
△FEB
Question
25
25.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠HIF
=
(i)
∠IFG
(ii)
∠FGJ
(iii)
∠FGH
(iv)
∠HIJ
(v)
∠GHI
Assignment Key
1) (v)
2) (iv)
3) (i)
4) (i)
5) (ii)
6) (iii)
7) (ii)
8) (iii)
9) (i)
10) (iii)
11) (iii)
12) (v)
13) (v)
14) (i)
15) (iii)
16) (i)
17) (iii)
18) (ii)
19) (i)
20) (iii)
21) (i)
22) (iii)
23) (i)
24) (iii)
25) (iii)
