EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polygons
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
How many diagonals does a hexagon have?
(i)
8
(ii)
10
(iii)
9
(iv)
6
(v)
12
Question
2
2.
Sum of the interior angles in a hexagon is
(i)
735°
(ii)
720°
(iii)
750°
(iv)
725°
(v)
730°
Question
3
3.
Find the number of sides in a regular polygon if each
exterior
angle is
18°
(i)
20
(ii)
18
(iii)
21
(iv)
23
(v)
19
Question
4
4.
Identify the figure below
(i)
quadrilateral
(ii)
parallelogram
(iii)
square
(iv)
triangle
(v)
circle
Question
5
5.
Identify the figure below
(i)
trapezium
(ii)
angle
(iii)
rhombus
(iv)
parallelogram
(v)
circle
Question
6
6.
Sum of the interior angles in an octagon is
(i)
1085°
(ii)
1090°
(iii)
1080°
(iv)
1095°
(v)
1110°
Question
7
7.
The value of each exterior angle in an n-sided regular polygon is
(i)
[
(2n - 4) x 90
n
]
°
(ii)
[
(2n - 4) x 180
n
]
°
(iii)
(
n
360
)
°
(iv)
(
360
n
)
°
Question
8
8.
Three angles of a quadrilateral are equal and the fourth angle measure 66.03°. What is the measure of each of the equal angles?
(i)
99.99°
(ii)
96.99°
(iii)
95.99°
(iv)
98.99°
(v)
97.99°
Question
9
9.
Sum of the interior angles in a decagon is
(i)
1450°
(ii)
1445°
(iii)
1455°
(iv)
1470°
(v)
1440°
Question
10
10.
Identify the figure below
(i)
quadrilateral
(ii)
heptagon
(iii)
pentagon
(iv)
hexagon
(v)
nonagon
Question
11
11.
How many diagonals does a decagon have?
(i)
35
(ii)
37
(iii)
32
(iv)
36
(v)
34
Question
12
12.
How many diagonals does a quadrilateral have?
(i)
0
(ii)
3
(iii)
1
(iv)
2
(v)
4
Question
13
13.
Sum of the interior angles in a triangle is
(i)
190°
(ii)
210°
(iii)
195°
(iv)
185°
(v)
180°
Question
14
14.
Sum of the interior angles in a heptagon is
(i)
915°
(ii)
905°
(iii)
910°
(iv)
900°
(v)
930°
Question
15
15.
Two adjacent angles of a parallelogram PQRS are in the ratio 9 : 9. Find the measure of each of its angles.
(i)
P
=
90°
,
Q
=
90°
,
R
=
90°
,
S
=
90°
(ii)
P
=
88°
,
Q
=
92°
,
R
=
89°
,
S
=
91°
(iii)
P
=
92°
,
Q
=
89°
,
R
=
88°
,
S
=
91°
(iv)
P
=
91°
,
Q
=
89°
,
R
=
92°
,
S
=
88°
(v)
P
=
89°
,
Q
=
88°
,
R
=
91°
,
S
=
92°
Question
16
16.
Identify the figure below
(i)
rectangle
(ii)
parallelogram
(iii)
circle
(iv)
square
(v)
rhombus
Question
17
17.
Identify the figure below
(i)
trapezium
(ii)
square
(iii)
kite
(iv)
circle
(v)
rhombus
Question
18
18.
Identify the figure below
(i)
quadrilateral
(ii)
triangle
(iii)
octagon
(iv)
circle
(v)
heptagon
Question
19
19.
Three angles of quadrilateral measure 98.59°, 95.22° and 58.16° respectively. Find the measure of the fourth angle
(i)
109.03°
(ii)
107.03°
(iii)
110.03°
(iv)
106.03°
(v)
108.03°
Question
20
20.
Identify the figure below
(i)
triangle
(ii)
nonagon
(iii)
decagon
(iv)
heptagon
(v)
pentagon
Question
21
21.
Identify the figure below
(i)
rhombus
(ii)
parallelogram
(iii)
kite
(iv)
angle
(v)
triangle
Question
22
22.
Identify the figure below
(i)
angle
(ii)
pentagon
(iii)
octagon
(iv)
triangle
(v)
circle
Question
23
23.
Sum of the interior angles in a pentagon is
(i)
555°
(ii)
540°
(iii)
550°
(iv)
545°
(v)
570°
Question
24
24.
Identify the figure below
(i)
hexagon
(ii)
triangle
(iii)
pentagon
(iv)
octagon
(v)
quadrilateral
Question
25
25.
How many diagonals does a pentagon have?
(i)
7
(ii)
3
(iii)
6
(iv)
4
(v)
5
Assignment Key
1) (iii)
2) (ii)
3) (i)
4) (iii)
5) (i)
6) (iii)
7) (iv)
8) (v)
9) (v)
10) (iii)
11) (i)
12) (iv)
13) (v)
14) (iv)
15) (i)
16) (ii)
17) (iii)
18) (i)
19) (v)
20) (ii)
21) (i)
22) (iv)
23) (ii)
24) (iv)
25) (v)