EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polygons
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following figures is a regular quadrilateral?
(i)
square
(ii)
trapezium
(iii)
rectangle
(iv)
rhombus
(v)
parallelogram
Question
2
2.
Two adjacent angles of a parallelogram OPQR are in the ratio 12 : 18. Find the measure of each of its angles.
(i)
O
=
72°
,
P
=
108°
,
Q
=
72°
,
R
=
108°
(ii)
O
=
74°
,
P
=
107°
,
Q
=
70°
,
R
=
109°
(iii)
O
=
71°
,
P
=
106°
,
Q
=
73°
,
R
=
110°
(iv)
O
=
73°
,
P
=
107°
,
Q
=
74°
,
R
=
106°
(v)
O
=
70°
,
P
=
110°
,
Q
=
71°
,
R
=
109°
Question
3
3.
Find the number of sides in a regular polygon if each
exterior
angle is
40°
(i)
9
(ii)
10
(iii)
8
(iv)
12
(v)
6
Question
4
4.
Identify the figure below
(i)
square
(ii)
trapezium
(iii)
kite
(iv)
rectangle
(v)
parallelogram
Question
5
5.
The angles of a quadrilateral IJKL are in the ratio 36 : 28 : 10 : 106. Find the measure of each angle of the quadrilateral.
(i)
I
=
72°
,
J
=
56°
,
K
=
20°
,
L
=
212°
(ii)
I
=
71°
,
J
=
54°
,
K
=
21°
,
L
=
214°
(iii)
I
=
73°
,
J
=
55°
,
K
=
22°
,
L
=
210°
(iv)
I
=
70°
,
J
=
58°
,
K
=
19°
,
L
=
213°
(v)
I
=
74°
,
J
=
55°
,
K
=
18°
,
L
=
213°
Question
6
6.
Find the number of sides in a regular polygon if each
interior
angle is
144°
(i)
9
(ii)
11
(iii)
10
(iv)
12
(v)
7
Question
7
7.
How many diagonals does a quadrilateral have?
(i)
2
(ii)
3
(iii)
0
(iv)
1
(v)
4
Question
8
8.
Identify the figure below
(i)
trapezium
(ii)
square
(iii)
circle
(iv)
rhombus
(v)
rectangle
Question
9
9.
How many diagonals does a pentagon have?
(i)
5
(ii)
3
(iii)
7
(iv)
6
(v)
4
Question
10
10.
Identify the figure below
(i)
octagon
(ii)
circle
(iii)
hexagon
(iv)
pentagon
(v)
nonagon
Question
11
11.
Three angles of quadrilateral measure 87.27°, 67.12° and 87.52° respectively. Find the measure of the fourth angle
(i)
117.09°
(ii)
119.09°
(iii)
116.09°
(iv)
118.09°
(v)
120.09°
Question
12
12.
How many diagonals does a decagon have?
(i)
35
(ii)
36
(iii)
34
(iv)
37
(v)
33
Question
13
13.
Identify the figure below
(i)
heptagon
(ii)
hexagon
(iii)
decagon
(iv)
circle
(v)
triangle
Question
14
14.
The number of diagonals in a regular polygon with n sides is
(i)
(
n
)
(
n
+
2
)
2
(ii)
(
n
)
(
n
−
2
)
2
(iii)
(
n
)
(
n
−
3
)
2
(iv)
(
n
)
(
n
+
3
)
2
(v)
(
n
)
(
n
−
1
)
2
Question
15
15.
Identify the figure below
(i)
angle
(ii)
pentagon
(iii)
triangle
(iv)
octagon
(v)
nonagon
Question
16
16.
Identify the figure below
(i)
pentagon
(ii)
octagon
(iii)
angle
(iv)
heptagon
(v)
circle
Question
17
17.
Sum of the interior angles in a triangle is
(i)
190°
(ii)
185°
(iii)
210°
(iv)
195°
(v)
180°
Question
18
18.
Identify the figure below
(i)
circle
(ii)
quadrilateral
(iii)
hexagon
(iv)
pentagon
(v)
octagon
Question
19
19.
Sum of the interior angles in a heptagon is
(i)
915°
(ii)
930°
(iii)
905°
(iv)
900°
(v)
910°
Question
20
20.
How many diagonals does a heptagon have?
(i)
16
(ii)
12
(iii)
13
(iv)
14
(v)
15
Question
21
21.
The value of the interior angle in a regular polygon when the exterior angle is given
(i)
90°+ (exterior angle)
(ii)
180°+ (exterior angle)
(iii)
180°- (exterior angle)
(iv)
360°- (exterior angle)
Question
22
22.
Sum of the interior angles in a nonagon is
(i)
1275°
(ii)
1270°
(iii)
1260°
(iv)
1265°
(v)
1290°
Question
23
23.
Identify the figure below
(i)
parallelogram
(ii)
kite
(iii)
square
(iv)
rhombus
(v)
rectangle
Question
24
24.
Identify the figure below
(i)
angle
(ii)
kite
(iii)
square
(iv)
rectangle
(v)
trapezium
Question
25
25.
How many diagonals does a nonagon have?
(i)
25
(ii)
26
(iii)
27
(iv)
28
(v)
30
Assignment Key
1) (i)
2) (i)
3) (i)
4) (ii)
5) (i)
6) (iii)
7) (i)
8) (iv)
9) (i)
10) (ii)
11) (iv)
12) (i)
13) (v)
14) (iii)
15) (ii)
16) (ii)
17) (v)
18) (iii)
19) (iv)
20) (iv)
21) (iii)
22) (iii)
23) (ii)
24) (iii)
25) (iii)
