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Polygon

Total questions: 93

Worksheet time: 47mins

Name
Class
Date
1.

How many sides does a hexagon have?

a)

6

b)

5

c)

7

d)

8

2.

Which polygon has 8 sides?

a)

Hexagon

b)

Octagon

c)

Pentagon

d)

Nonagon

3.

What is the name of a polygon with 5 sides?

a)

Pentagon

b)

Hexagon

c)

Quadrilateral

d)

Octagon

4.

Which of the following traffic signs is shaped like a triangle?

a)

Stop sign

b)

Pedestrian crossing sign

c)

Road work sign

d)

Yield sign

5.

Identify the polygon shown in the top left shape (red stop sign) in the traffic signs image.

a)

Octagon

b)

Hexagon

c)

Triangle

d)

Quadrilateral

6.

Fill in the blank: A polygon with n sides is called a _______.

a)

n-gon

b)

n-hedron

c)

n-prism

d)

n-angle

7.

What is a polygon?

a)

A geometric object consisting of a number of points (called vertices) and an equal number of line segments (called sides); a closed plane figure bounded by line segments as sides.

b)

A three-dimensional object with curved surfaces.

c)

A figure with only one side and one vertex.

d)

A shape that has no sides or vertices.

8.

The word 'polygon' derives from the Greek word 'poly,' meaning ______, and 'gonia,' meaning ______.

a)

'poly' means 'many' and 'gonia' means 'angle'.

b)

'poly' means 'shape' and 'gonia' means 'side'.

c)

'poly' means 'three' and 'gonia' means 'corner'.

d)

'poly' means 'large' and 'gonia' means 'edge'.

9.

Which of the following shapes is a hexagon?

a)

Shape with 3 sides

b)

Shape with 6 sides

c)

Shape with 8 sides

d)

Shape with 4 sides

10.

How many sides does a nonagon have?

a)

9

b)

7

c)

8

d)

10

11.

Which polygon has 4 sides?

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

12.

A polygon must have equal number of vertices and sides.

a)

True

b)

False

13.

Identify the polygon shown in the image (red stop sign):

a)

Octagon

b)

Hexagon

c)

Pentagon

d)

Triangle

14.

What is the side or edge of a polygon? Fill in the blank: The side or edge of a polygon is one of the ________ that make up the polygon.

a)

line segments

b)

angles

c)

vertices

d)

curves

15.

What are adjacent sides in a polygon? Fill in the blank: Adjacent sides are pairs of sides that share a common ________.

a)

endpoint

b)

angle

c)

area

d)

vertex

16.

What are the vertices of a polygon? Fill in the blank: The vertices of a polygon are the ________ of each side of the polygon.

a)

endpoints

b)

midpoints

c)

centers

d)

edges

17.

What is a diagonal of a polygon? Fill in the blank: A diagonal of a polygon is a line segment joining two ________ vertices of the polygon.

a)

non-adjacent

b)

adjacent

c)

parallel

d)

opposite

18.

What is an interior angle of a polygon? Fill in the blank: The interior angle is the angle formed by two adjacent sides ________ the polygon.

a)

inside

b)

outside

c)

above

d)

below

19.

What is an exterior angle of a polygon? Fill in the blank: An exterior angle is the angle that is adjacent to and supplementary to an ________ angle of the polygon.

a)

interior

b)

exterior

c)

vertical

d)

alternate

20.

Fill in the blank: A polygon is ________ if all of its angles are congruent.

a)

equiangular

b)

equilateral

c)

scalene

d)

regular

21.

Fill in the blank: A polygon is ________ if all its sides are equal.

a)

equilateral

b)

scalene

c)

isosceles

d)

irregular

22.

Fill in the blank: ________ polygons are both equiangular and equilateral.

a)

Regular

b)

Irregular

c)

Concave

d)

Scalene

23.

Fill in the blank: An ________ polygon is a polygon that is neither equiangular nor equilateral.

a)

irregular

b)

regular

c)

concave

d)

convex

24.

Fill in the blank: Every interior angle of a ________ polygon is less than 180 degrees.

a)

convex

b)

concave

c)

regular

d)

irregular

25.

Fill in the blank: A ________ polygon has at least one interior angle that measures more than 180 degrees.

a)

concave

b)

convex

c)

regular

d)

equilateral

26.

According to the definition, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). What is the name of the regular polygon shown in the image with 3 sides?

a)

Triangle

b)

Square

c)

Pentagon

d)

Hexagon

27.

What is the name of the regular polygon shown in the image with 4 sides?

a)

Quadrilateral

b)

Triangle

c)

Pentagon

d)

Hexagon

28.

What is the name of the regular polygon shown in the image with 5 sides?

a)

Pentagon

b)

Hexagon

c)

Octagon

d)

Triangle

29.

What is the name of the regular polygon shown in the image with 6 sides?

a)

Hexagon

b)

Pentagon

c)

Octagon

d)

Heptagon

30.

What is the name of the regular polygon shown in the image with 7 sides?

a)

Heptagon

b)

Hexagon

c)

Octagon

d)

Nonagon

31.

What is the name of the regular polygon shown in the image with 8 sides?

a)

Octagon

b)

Hexagon

c)

Pentagon

d)

Heptagon

32.

What is the name of the regular polygon shown in the image with 9 sides?

a)

Nonagon

b)

Octagon

c)

Decagon

d)

Heptagon

33.

What is the name of the regular polygon shown in the image with 10 sides?

a)

Decagon

b)

Nonagon

c)

Hexagon

d)

Heptagon

34.

What is an irregular polygon?

a)

A) A polygon that is equiangular and equilateral

b)

B) A polygon that is not equiangular (all angles are not equal in measure) and not equilateral (all sides are not the same length)

c)

C) A polygon with only three sides

d)

D) A polygon with all right angles

35.

Fill in the blank: An irregular polygon is a polygon that is not ________ (all angles are not equal in measure) and not ________ (all sides are not the same length).

a)

equiangular; equilateral

b)

regular; congruent

c)

isosceles; scalene

d)

parallel; perpendicular

36.

Look at the shapes in the diagrams below.

a)

Shape A

b)

Shape B

c)

Shape C

d)

Shape D

37.

A polygon with 3 sides is called a _____

a)

Trigon (Triangle)

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

38.

A polygon with 4 sides is called a _____

a)

Tetragon (Quadrilateral)

b)

Pentagon

c)

Hexagon

d)

Triangle

39.

A polygon with 5 sides is called a _____.

a)

Pentagon

b)

Hexagon

c)

Octagon

d)

Triangle

40.

A polygon with 6 sides is called a _____.

a)

Hexagon

b)

Pentagon

c)

Heptagon

d)

Octagon

41.

A polygon with 7 sides is called a _____

a)

Heptagon

b)

Hexagon

c)

Octagon

d)

Nonagon

42.

A polygon with 8 sides is called a _____

a)

Octagon

b)

Hexagon

c)

Pentagon

d)

Heptagon

43.

A polygon with 9 sides is called a _____

a)

Nonagon

b)

Heptagon

c)

Octagon

d)

Decagon

44.

A polygon with 10 sides is called a _____

a)

Decagon

b)

Nonagon

c)

Heptagon

d)

Octagon

45.

A polygon with 11 sides is called a _____

a)

Hendecagon

b)

Decagon

c)

Dodecagon

d)

Nonagon

46.

A polygon with 12 sides is called a _____.

a)

Dodecagon

b)

Hexagon

c)

Octagon

d)

Decagon

47.

A polygon with 13 sides is called a _____

a)

Tridecagon

b)

Dodecagon

c)

Tetradecagon

d)

Pentadecagon

48.

A polygon with 14 sides is called a _____

a)

Tetradecagon

b)

Pentadecagon

c)

Dodecagon

d)

Hexadecagon

49.

A polygon with 15 sides is called a _____

a)

Pentadecagon

b)

Decagon

c)

Dodecagon

d)

Hexadecagon

50.

A polygon with 16 sides is called a _____

a)

Hexadecagon

b)

Decagon

c)

Dodecagon

d)

Octagon

51.

A polygon with 17 sides is called a _____

a)

Heptadecagon

b)

Hexadecagon

c)

Octadecagon

d)

Dodecagon

52.

A polygon with 18 sides is called a _____

a)

Octadecagon

b)

Hexadecagon

c)

Dodecagon

d)

Heptadecagon

53.

A polygon with 19 sides is called a _____

a)

Enneadecagon

b)

Dodecagon

c)

Hexadecagon

d)

Octadecagon

54.

A polygon with 20 sides is called a _____

a)

Icosagon

b)

Decagon

c)

Dodecagon

d)

Hexadecagon

55.

A polygon with 100 sides is called a _____

a)

hectogon

b)

decagon

c)

pentagon

d)

octagon

56.

A polygon with 1,000 sides is called a _____.

a)

chiliagon

b)

heptagon

c)

decagon

d)

pentadecagon

57.

A polygon with 10,000 sides is called a _____.

a)

myriagon

b)

decagon

c)

pentagon

d)

hectogon

58.

A polygon with 1,000,000 sides is called a _____

a)

megagon

b)

gigagon

c)

kilogon

d)

myriagon

59.

A polygon with infinite sides is called a _____

a)

apeirogon

b)

hexagon

c)

pentagon

d)

octagon

60.

What is the formula for the sum of interior angles of a polygon with n sides?

a)

(n - 2) x 180°

b)

n x 180°

c)

(n + 2) x 180°

d)

(n - 1) x 180°

61.

For a hexagon (n = 6), what is the sum of its interior angles?

a)

720°

b)

540°

c)

600°

d)

900°

62.

What is the formula for the sum of interior angles of a polygon with n sides?

a)

(n + 2) x 180°

b)

(n - 2) x 180°

c)

n x 180°

d)

(n - 1) x 180°

63.

Using the formula for the sum of interior angles, what is the sum of the interior angles of a hexagon (n = 6)?

a)

720°

b)

540°

c)

600°

d)

900°

64.

If each interior angle is 120°, what is the total sum of all interior angles in the hexagon?

a)

720°

b)

600°

c)

480°

d)

900°

65.

What is the sum of the exterior angles of any polygon?

a)

180°

b)

360°

c)

540°

d)

720°

66.

Fill in the blank: The sum of exterior angles of a polygon is equal to _____

a)

360°

b)

180°

c)

90°

d)

720°

67.

For a hexagon (n = 6), what is the measure of each exterior angle if all angles are equal?

a)

60°

b)

45°

c)

72°

d)

30°

68.

What is the definition of a diagonal in a polygon?

a)

A) A line segment joining two adjacent sides

b)

B) A line segment joining two non-adjacent sides

c)

C) A line segment joining two consecutive vertices

d)

D) A line segment joining all vertices

69.

Fill in the blank: The number of diagonals in a polygon with n sides is given by the formula D = ___ (n - 3).

a)

n/2

b)

n(n-1)/2

c)

n(n-3)/2

d)

n2/2n^2/2

70.

Fill in the blank: For an octagon (n = 8), the number of diagonals is D = 8/2 (8-3) = ___.

a)

20

b)

16

c)

24

d)

28

71.

What is the formula to calculate the interior angle (IA) of a regular polygon with n sides?

a)

(2n - 4) / n × (90°)

b)

(n - 2) × 180° / n

c)

(n + 2) × 90° / n

d)

(2n + 4) / n × (90°)

72.

For a regular pentagon (n = 5), what is the measure of each interior angle?

a)

90°

b)

108°

c)

120°

d)

135°

73.

What is the formula to calculate the interior angle (IA) of a regular polygon with n sides?

a)

IA = (2n - 4) / n × 90°

b)

IA = (n - 2) × 180° / n

c)

IA = (n + 2) × 180° / n

d)

IA = (n - 4) × 90° / n

74.

For a regular pentagon (n = 5), calculate the measure of each interior angle using the formula: IA = (2n - 4) / n × 90°

a)

108°

b)

120°

c)

100°

d)

90°

75.

Refer to the diagram of the regular pentagon. What is the measure of each interior angle shown in the diagram?

a)

90°

b)

108°

c)

120°

d)

72°

76.

What is the formula to find the exterior angle (EA) of a regular polygon with n sides?

a)

EA = 360°/n

b)

EA = 180°/n

c)

EA = 180° - n

d)

EA = 360° - n

77.

For a regular pentagon (n = 5), what is the measure of each exterior angle?

a)

72°

b)

60°

c)

90°

d)

45°

78.

Refer to the diagram of the regular pentagon. What is the value of angle x, the exterior angle?

a)

72°

b)

108°

c)

60°

d)

90°

79.

What does the number of lines that can be drawn in the vertices of a polygon refer to?

a)

Only the sides of the polygon

b)

All possible line segments connecting any two vertices, including the sides of the polygon

c)

Only the diagonals of the polygon

d)

Only the vertices themselves

80.

Fill in the blank: The formula to calculate the number of lines (NL) that can be drawn from the vertices of a polygon with n sides is NL = _____.

a)

n(n-1)/2

b)

n2n^2

c)

n(n+1)/2

d)

2n

81.

For a heptagon (n = 7), how many lines can be drawn from its vertices using the formula NL = n(n-1)/2?

a)

A) 14

b)

B) 21

c)

C) 28

d)

D) 35

82.

What is the perimeter of a polygon?

a)

The measurement of the distance around a polygon

b)

The area inside a polygon

c)

The number of sides of a polygon

d)

The length of one side of a polygon

83.

Fill in the blank: The formula for the perimeter of a polygon is ________.

a)

P_polygon = nS

b)

Ppolygon=n2P_{polygon} = n^{2}

c)

P_polygon = 2nS

d)

P_polygon = S/n

84.

Fill in the blank: In the formula for the perimeter of a polygon, 'n' stands for ________.

a)

Number of sides

b)

Number of angles

c)

Length of one side

d)

Area of the polygon

85.

Fill in the blank: In the formula for the perimeter of a polygon, 's' stands for ________.

a)

length of each side

b)

sum of all angles

c)

area of the polygon

d)

number of sides

86.

Fill in the blank: In the formula for the perimeter of a polygon, 'P' stands for ________.

a)

perimeter

b)

parallel

c)

polygon

d)

product

87.

Fill in the blank: The Area of a Polygon is a positive number of ______ units needed to cover the polygon.

a)

square

b)

cubic

c)

circular

d)

triangular

88.

What is the area of a polygon?

a)

The region bounded by the sides of the polygon.

b)

The sum of the lengths of all sides of the polygon.

c)

The number of vertices in the polygon.

d)

The distance from the center to a vertex of the polygon.

89.

What is the formula for the area of a polygon?

a)

A_polygon = (1/2) aP

b)

Apolygon=a2A_polygon = a^2

c)

A_polygon = 2πr

d)

A_polygon = bh

90.

What is an apothem in a regular polygon?

a)

The line segment from the center of the polygon perpendicular to the midpoint of a side of the polygon.

b)

The distance around the outside of the polygon.

c)

The angle formed by two adjacent sides of the polygon.

d)

The longest diagonal of the polygon.

91.

In the given diagram, which line represents the apothem of the polygon?

a)

GH

b)

EG

c)

GD

d)

GE

92.

Find the perimeter of the regular pentagon of side 7 cm.

a)

35 cm

b)

28 cm

c)

21 cm

d)

49 cm

93.

Find the area of the regular pentagon of side 7 centimeters.

a)

Approximately 84.72 square centimeters (using the formula: Area = (5/4) × s² × cot(π/5), where s = 7 cm)

b)

Approximately 70.00 square centimeters

c)

Approximately 100.00 square centimeters

d)

Approximately 60.00 square centimeters

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