EduSahara™ Assignment
Name : Polygons
Chapter : Polygons
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Identify the figure below
(i)
triangle
(ii)
nonagon
(iii)
heptagon
(iv)
pentagon
(v)
quadrilateral
Question
2
2.
Identify the figure below
(i)
pentagon
(ii)
angle
(iii)
quadrilateral
(iv)
heptagon
(v)
circle
Question
3
3.
Identify the figure below
(i)
hexagon
(ii)
heptagon
(iii)
circle
(iv)
pentagon
(v)
octagon
Question
4
4.
Identify the figure below
(i)
triangle
(ii)
parallelogram
(iii)
circle
(iv)
angle
(v)
trapezium
Question
5
5.
Identify the figure below
(i)
rectangle
(ii)
rhombus
(iii)
circle
(iv)
parallelogram
(v)
kite
Question
6
6.
Identify the figure below
(i)
triangle
(ii)
circle
(iii)
square
(iv)
rectangle
(v)
rhombus
Question
7
7.
Identify the figure below
(i)
trapezium
(ii)
parallelogram
(iii)
square
(iv)
rhombus
(v)
circle
Question
8
8.
Identify the figure below
(i)
kite
(ii)
angle
(iii)
trapezium
(iv)
rectangle
(v)
rhombus
Question
9
9.
Identify the figure below
(i)
kite
(ii)
square
(iii)
rectangle
(iv)
rhombus
(v)
parallelogram
Question
10
10.
Identify the figure below
(i)
triangle
(ii)
pentagon
(iii)
quadrilateral
(iv)
octagon
(v)
hexagon
Question
11
11.
Identify the figure below
(i)
heptagon
(ii)
hexagon
(iii)
octagon
(iv)
triangle
(v)
pentagon
Question
12
12.
Identify the figure below
(i)
quadrilateral
(ii)
circle
(iii)
angle
(iv)
pentagon
(v)
heptagon
Question
13
13.
Identify the figure below
(i)
heptagon
(ii)
pentagon
(iii)
hexagon
(iv)
circle
(v)
octagon
Question
14
14.
Identify the figure below
(i)
nonagon
(ii)
hexagon
(iii)
triangle
(iv)
heptagon
(v)
octagon
Question
15
15.
Identify the figure below
(i)
hexagon
(ii)
triangle
(iii)
nonagon
(iv)
decagon
(v)
angle
Question
16
16.
In the given two equilateral triangles, find ∠K + ∠M + ∠O + ∠L + ∠N + ∠P .
(i)
359°
(ii)
361°
(iii)
360°
(iv)
358°
(v)
362°
Question
17
17.
The angles of a quadrilateral OPQR are in the ratio 8 : 5 : 10 : 13. Find the measure of each angle of the quadrilateral.
(i)
O
=
78°
,
P
=
52°
,
Q
=
99°
,
R
=
131°
(ii)
O
=
82°
,
P
=
49°
,
Q
=
98°
,
R
=
131°
(iii)
O
=
81°
,
P
=
49°
,
Q
=
102°
,
R
=
128°
(iv)
O
=
79°
,
P
=
48°
,
Q
=
101°
,
R
=
132°
(v)
O
=
80°
,
P
=
50°
,
Q
=
100°
,
R
=
130°
Question
18
18.
Two adjacent angles of a parallelogram JKLM are in the ratio 3 : 57. Find the measure of each of its angles.
(i)
J
=
7°
,
K
=
173°
,
L
=
8°
,
M
=
172°
(ii)
J
=
11°
,
K
=
170°
,
L
=
7°
,
M
=
172°
(iii)
J
=
8°
,
K
=
169°
,
L
=
10°
,
M
=
173°
(iv)
J
=
10°
,
K
=
170°
,
L
=
11°
,
M
=
169°
(v)
J
=
9°
,
K
=
171°
,
L
=
9°
,
M
=
171°
Question
19
19.
Three angles of quadrilateral measure 132.17°, 85.9° and 82.84° respectively. Find the measure of the fourth angle
(i)
57.09°
(ii)
60.09°
(iii)
61.09°
(iv)
58.09°
(v)
59.09°
Question
20
20.
Three angles of a quadrilateral are equal and the fourth angle measure 69.07°. What is the measure of each of the equal angles?
(i)
95.98°
(ii)
94.98°
(iii)
98.98°
(iv)
97.98°
(v)
96.98°
Question
21
21.
Which of the following figures is a regular quadrilateral?
(i)
rhombus
(ii)
parallelogram
(iii)
square
(iv)
rectangle
(v)
trapezium
Question
22
22.
Sum of the interior angles in a triangle is
(i)
195°
(ii)
185°
(iii)
190°
(iv)
210°
(v)
180°
Question
23
23.
Sum of the interior angles in a quadrilateral is
(i)
375°
(ii)
370°
(iii)
360°
(iv)
365°
(v)
390°
Question
24
24.
Sum of the interior angles in a pentagon is
(i)
550°
(ii)
570°
(iii)
555°
(iv)
545°
(v)
540°
Question
25
25.
Sum of the interior angles in a hexagon is
(i)
725°
(ii)
730°
(iii)
720°
(iv)
735°
(v)
750°
Question
26
26.
Sum of the interior angles in a heptagon is
(i)
915°
(ii)
905°
(iii)
900°
(iv)
910°
(v)
930°
Question
27
27.
Sum of the interior angles in an octagon is
(i)
1080°
(ii)
1110°
(iii)
1090°
(iv)
1095°
(v)
1085°
Question
28
28.
Sum of the interior angles in a nonagon is
(i)
1260°
(ii)
1290°
(iii)
1265°
(iv)
1275°
(v)
1270°
Question
29
29.
Sum of the interior angles in a decagon is
(i)
1445°
(ii)
1455°
(iii)
1450°
(iv)
1470°
(v)
1440°
Question
30
30.
How many diagonals does a triangle have?
(i)
0
(ii)
1
(iii)
3
(iv)
4
(v)
2
Question
31
31.
How many diagonals does a quadrilateral have?
(i)
0
(ii)
3
(iii)
1
(iv)
2
(v)
4
Question
32
32.
How many diagonals does a pentagon have?
(i)
4
(ii)
7
(iii)
5
(iv)
2
(v)
6
Question
33
33.
How many diagonals does a hexagon have?
(i)
7
(ii)
9
(iii)
8
(iv)
10
(v)
12
Question
34
34.
How many diagonals does a heptagon have?
(i)
11
(ii)
16
(iii)
15
(iv)
13
(v)
14
Question
35
35.
How many diagonals does an octagon have?
(i)
19
(ii)
21
(iii)
20
(iv)
23
(v)
17
Question
36
36.
How many diagonals does a nonagon have?
(i)
27
(ii)
25
(iii)
30
(iv)
26
(v)
28
Question
37
37.
How many diagonals does a decagon have?
(i)
33
(ii)
37
(iii)
36
(iv)
34
(v)
35
Question
38
38.
Find the number of sides in a regular polygon if each
interior
angle is
120°
(i)
7
(ii)
6
(iii)
8
(iv)
5
(v)
4
Question
39
39.
Find the number of sides in a regular polygon if each
exterior
angle is
5°
(i)
74
(ii)
73
(iii)
71
(iv)
72
(v)
69
Question
40
40.
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
41
41.
The value of each exterior angle in an n-sided regular polygon is
(i)
[
(2n - 4) x 180
n
]
°
(ii)
(
360
n
)
°
(iii)
[
(2n - 4) x 90
n
]
°
(iv)
(
n
360
)
°
Question
42
42.
The value of each interior angle in an n-sided regular polygon is
(i)
(
360
n
)
°
(ii)
[
(2n - 4) x 180
n
]
°
(iii)
[
(2n - 4) x 90
n
]
°
(iv)
(
n
360
)
°
Question
43
43.
The value of the exterior angle in a regular polygon when the interior angle is given
(i)
360°- (interior angle)
(ii)
90°+ (interior angle)
(iii)
180°+ (interior angle)
(iv)
180°- (interior angle)
Question
44
44.
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)
Assignment Key
1) (i)
2) (iii)
3) (iii)
4) (v)
5) (iv)
6) (iv)
7) (iii)
8) (v)
9) (i)
10) (ii)
11) (ii)
12) (v)
13) (v)
14) (i)
15) (iv)
16) (iii)
17) (v)
18) (v)
19) (v)
20) (v)
21) (iii)
22) (v)
23) (iii)
24) (v)
25) (iii)
26) (iii)
27) (i)
28) (i)
29) (v)
30) (i)
31) (iv)
32) (iii)
33) (ii)
34) (v)
35) (iii)
36) (i)
37) (v)
38) (ii)
39) (iv)
40) (iv)
41) (ii)
42) (iii)
43) (iv)
44) (ii)
