EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Understanding Quadrilaterals
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
HI
=
(i)
GI
(ii)
FG
(iii)
HE
(iv)
FI
(v)
EI
Question
2
2.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠AED
=
(i)
∠CDA
(ii)
∠AEB
(iii)
∠ADB
(iv)
∠ABC
(v)
∠CDB
Question
3
3.
The diagonals do not divide the quadrilateral into congruent triangles in which figure?
(i)
rectangle
(ii)
square
(iii)
parallelogram
(iv)
trapezium
(v)
rhombus
Question
4
4.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠HIF
=
(i)
∠FGH
(ii)
∠IFG
(iii)
∠FGJ
(iv)
∠HIJ
(v)
∠GHI
Question
5
5.
Which of the following are true?
a)
A parallelogram is a rectangle
b)
A rectangle is a square
c)
A square is a parallelogram
d)
A rectangle is a parallelogram
e)
A parallelogram is a square
(i)
{b,d}
(ii)
{c,d}
(iii)
{e,a,c}
(iv)
{b,d,c}
(v)
{a,c}
Question
6
6.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SPQ
≠
(i)
∠OPS
(ii)
∠RSQ
(iii)
∠SRO
(iv)
∠QRS
Question
7
7.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
△FEB
≅
(i)
△FDC
(ii)
△ECB
(iii)
△ECD
(iv)
△FCB
(v)
△FDE
Question
8
8.
The value of each interior angle in an n-sided regular polygon is
(i)
(
360
n
)
°
(ii)
[
(2n - 4) x 180
n
]
°
(iii)
(
n
360
)
°
(iv)
[
(2n - 4) x 90
n
]
°
Question
9
9.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠PMN
=
(i)
∠MNQ
(ii)
∠OPM
(iii)
∠NOP
(iv)
∠MNO
Question
10
10.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OL
≠
(i)
MN
(ii)
NO
(iii)
MO
(iv)
LM
Question
11
11.
Find the number of sides in a regular polygon if each
exterior
angle is
10°
(i)
36
(ii)
35
(iii)
39
(iv)
33
(v)
37
Question
12
12.
Identify the figure below
(i)
heptagon
(ii)
decagon
(iii)
pentagon
(iv)
triangle
(v)
circle
Question
13
13.
Which of the following properties apply for a parallelogram ?
a)
Diagonals are perpendicular to each other
b)
Adjacent angles are supplementary
c)
Diagonals bisect each other
d)
Opposite angles are equal
e)
Diagonals are equal to each other
f)
Opposite sides are equal
(i)
{a,b}
(ii)
{e,c}
(iii)
{a,e,d}
(iv)
{a,f,b}
(v)
{b,c,d,f}
Question
14
14.
Identify the figure below
(i)
trapezium
(ii)
angle
(iii)
triangle
(iv)
rectangle
(v)
square
Question
15
15.
Which of the following properties apply for a trapezium ?
(i)
Both adjacent angles are obtuse
(ii)
Diagonals are equal
(iii)
One pair of opposite sides are parallel
(iv)
Diagonals are perpendicular to each other
(v)
Adjacent angles are supplementary
Question
16
16.
Sum of the interior angles in a heptagon is
(i)
910°
(ii)
905°
(iii)
930°
(iv)
915°
(v)
900°
Question
17
17.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
∠GDE
=
(i)
∠DEH
(ii)
∠DEF
(iii)
∠EFG
(iv)
∠FGD
(v)
∠FGH
Question
18
18.
Identify the figure below
(i)
parallelogram
(ii)
circle
(iii)
trapezium
(iv)
rectangle
(v)
kite
Question
19
19.
The diagonals are equal in a
a)
trapezium
b)
rhombus
c)
square
d)
rectangle
e)
parallelogram
(i)
{c,d}
(ii)
{b,d}
(iii)
{a,c}
(iv)
{b,d,c}
(v)
{e,a,c}
Question
20
20.
In the figure given below,
PQRS
is a rhombus.
Find the values of x and y
(i)
x
=
40.03°
,
y
=
40.03°
(ii)
x
=
41.03°
,
y
=
41.03°
(iii)
x
=
39.03°
,
y
=
39.03°
(iv)
x
=
38.03°
,
y
=
38.03°
(v)
x
=
42.03°
,
y
=
42.03°
Question
21
21.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
EG
=
(i)
FG
(ii)
DG
(iii)
DE
(iv)
CG
(v)
FC
Question
22
22.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠QTP
≠
(i)
∠STR
(ii)
∠SPQ
(iii)
∠PTS
(iv)
∠RTQ
Question
23
23.
In the adjoining figure,
I
is a point in the interior of
∠KGL
.
If
IH
⟂
GK
and
IJ
⟂
GL
and
∠KGL = 36°
,
find the measure of x .
(i)
146°
(ii)
145°
(iii)
144°
(iv)
142°
(v)
143°
Question
24
24.
How many diagonals does a pentagon have?
(i)
5
(ii)
7
(iii)
4
(iv)
6
(v)
2
Question
25
25.
How many diagonals does a quadrilateral have?
(i)
4
(ii)
0
(iii)
1
(iv)
3
(v)
2
Assignment Key
1) (iv)
2) (ii)
3) (iv)
4) (i)
5) (ii)
6) (ii)
7) (iv)
8) (iv)
9) (iii)
10) (iii)
11) (i)
12) (ii)
13) (v)
14) (i)
15) (iii)
16) (v)
17) (iii)
18) (i)
19) (i)
20) (i)
21) (iv)
22) (ii)
23) (iii)
24) (i)
25) (v)
