EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polygons
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
How many diagonals does a triangle have?
(i)
3
(ii)
1
(iii)
0
(iv)
2
(v)
4
Question
2
2.
Identify the figure below
(i)
nonagon
(ii)
triangle
(iii)
circle
(iv)
octagon
(v)
decagon
Question
3
3.
Identify the figure below
(i)
circle
(ii)
rhombus
(iii)
trapezium
(iv)
parallelogram
(v)
rectangle
Question
4
4.
How many diagonals does an octagon have?
(i)
17
(ii)
20
(iii)
23
(iv)
19
(v)
21
Question
5
5.
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
−
1
)
2
(iv)
(
n
)
(
n
−
3
)
2
(v)
(
n
)
(
n
+
3
)
2
Question
6
6.
Sum of the interior angles in an octagon is
(i)
1110°
(ii)
1090°
(iii)
1095°
(iv)
1085°
(v)
1080°
Question
7
7.
Identify the figure below
(i)
decagon
(ii)
circle
(iii)
nonagon
(iv)
triangle
(v)
quadrilateral
Question
8
8.
The value of each interior angle in an n-sided regular polygon is
(i)
(
n
360
)
°
(ii)
[
(2n - 4) x 180
n
]
°
(iii)
(
360
n
)
°
(iv)
[
(2n - 4) x 90
n
]
°
Question
9
9.
How many diagonals does a quadrilateral have?
(i)
0
(ii)
4
(iii)
2
(iv)
3
(v)
1
Question
10
10.
Identify the figure below
(i)
angle
(ii)
rhombus
(iii)
parallelogram
(iv)
kite
(v)
square
Question
11
11.
Identify the figure below
(i)
rectangle
(ii)
parallelogram
(iii)
rhombus
(iv)
circle
(v)
angle
Question
12
12.
The value of the interior angle in a regular polygon when the exterior angle is given
(i)
180°+ (exterior angle)
(ii)
180°- (exterior angle)
(iii)
360°- (exterior angle)
(iv)
90°+ (exterior angle)
Question
13
13.
Find the number of sides in a regular polygon if each
interior
angle is
120°
(i)
7
(ii)
3
(iii)
6
(iv)
8
(v)
5
Question
14
14.
Sum of the interior angles in a triangle is
(i)
195°
(ii)
210°
(iii)
180°
(iv)
185°
(v)
190°
Question
15
15.
How many diagonals does a nonagon have?
(i)
28
(ii)
29
(iii)
26
(iv)
27
(v)
24
Question
16
16.
How many diagonals does a pentagon have?
(i)
8
(ii)
4
(iii)
5
(iv)
6
(v)
2
Question
17
17.
Identify the figure below
(i)
parallelogram
(ii)
trapezium
(iii)
rectangle
(iv)
quadrilateral
(v)
square
Question
18
18.
Sum of the interior angles in a decagon is
(i)
1450°
(ii)
1470°
(iii)
1445°
(iv)
1440°
(v)
1455°
Question
19
19.
Identify the figure below
(i)
heptagon
(ii)
octagon
(iii)
angle
(iv)
pentagon
(v)
triangle
Question
20
20.
Three angles of quadrilateral measure 70.47°, 111.8° and 56.25° respectively. Find the measure of the fourth angle
(i)
120.48°
(ii)
121.48°
(iii)
119.48°
(iv)
123.48°
(v)
122.48°
Question
21
21.
Sum of the interior angles in a hexagon is
(i)
735°
(ii)
730°
(iii)
720°
(iv)
725°
(v)
750°
Question
22
22.
Sum of the interior angles in a heptagon is
(i)
915°
(ii)
900°
(iii)
910°
(iv)
905°
(v)
930°
Question
23
23.
In the given two equilateral triangles, find ∠D + ∠F + ∠H + ∠E + ∠G + ∠I .
(i)
361°
(ii)
360°
(iii)
362°
(iv)
358°
(v)
359°
Question
24
24.
Two adjacent angles of a parallelogram FGHI are in the ratio 3 : 7. Find the measure of each of its angles.
(i)
F
=
52°
,
G
=
128°
,
H
=
53°
,
I
=
127°
(ii)
F
=
55°
,
G
=
125°
,
H
=
56°
,
I
=
124°
(iii)
F
=
56°
,
G
=
125°
,
H
=
52°
,
I
=
127°
(iv)
F
=
53°
,
G
=
124°
,
H
=
55°
,
I
=
128°
(v)
F
=
54°
,
G
=
126°
,
H
=
54°
,
I
=
126°
Question
25
25.
How many diagonals does a heptagon have?
(i)
16
(ii)
14
(iii)
13
(iv)
11
(v)
15
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (ii)
5) (iv)
6) (v)
7) (i)
8) (iv)
9) (iii)
10) (iv)
11) (ii)
12) (ii)
13) (iii)
14) (iii)
15) (iv)
16) (iii)
17) (v)
18) (iv)
19) (ii)
20) (ii)
21) (iii)
22) (ii)
23) (ii)
24) (v)
25) (ii)