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Worksheets

Geometry - Polygons, Angles and Area

Total questions: 80

Worksheet time: 7hrs 48mins

Name
Class
Date
1.

Name the polygon

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

e)

Heptagon

2.

Name the polygon

a)

Heptagon

b)

Octagon

c)

Nonagon

d)

Decagon

e)

Pentagon

3.

Name the polygon

a)

Heptagon

b)

Octagon

c)

Quadrilateral

d)

Decagon

e)

Pentagon

4.

Name the polygon

a)

Heptagon

b)

Octagon

c)

Quadrilateral

d)

Decagon

e)

Pentagon

5.

Name the polygon

a)

Heptagon

b)

Octagon

c)

Quadrilateral

d)

Decagon

e)

Pentagon

6.

Name the polygon

a)

Heptagon

b)

Hexagon

c)

Quadrilateral

d)

Triangle

e)

Pentagon

7.

Name the polygon

a)

Heptagon

b)

Hexagon

c)

Quadrilateral

d)

Triangle

e)

Pentagon

8.

Name the polygon

a)

Heptagon

b)

Hexagon

c)

Quadrilateral

d)

Octagon

e)

Decagon

9.

Name the polygon

a)

Heptagon

b)

Hexagon

c)

Quadrilateral

d)

Octagon

e)

Decagon

10.

Name the polygon

a)

Heptagon

b)

Triangle

c)

Quadrilateral

d)

Octagon

e)

Decagon

11.

Name the polygon

a)

Nonagon

b)

Triangle

c)

Quadrilateral

d)

Hexagon

e)

Decagon

12.

Name the polygon

a)

Nonagon

b)

Triangle

c)

Pentagon

d)

Hexagon

e)

Decagon

13.

Name the polygon

a)

Octagon

b)

Heptagon

c)

Pentagon

d)

Hexagon

e)

Decagon

14.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
15.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
16.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
17.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
18.

Which formula represents how to find the interior angle sum of any polygon?

a)

(number of sides - 2) x 180

b)

(number of sides + 2) x 180

c)

number of sides x 180

d)

number of sides x 360

19.

Find the value of x.

a)

110

b)

90

c)

130

d)

120

20.
The sum of the interior angles in a polygon is 3,240o.  How many sides are in the polygon?
a)
10
b)
582,840
c)
18
d)
20
21.
What is the sum of the interior angles of the hexagon shown?
a)
180° 
b)
540° 
c)
720° 
d)
1080° 
22.
What is the sum of the interior angles of the nonagon shown?
a)
720° 
b)
900° 
c)
1080° 
d)
1260° 
23.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

24.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

25.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

26.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

27.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

28.

What is the minimum side for a polygon?

a)

5 side

b)

8 sides

c)

4 sides

d)

3 sides

29.

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

a)

180°

b)

360°

c)

540°

d)

0°

30.

What formula is used to find one exterior angle of a regular polygon?

a)

undefined 

b)

n360\frac{n}{360}  

c)

180(n−2)180\left(n-2\right)  

d)

360(n−3)360\left(n-3\right)  

31.

What is the degree of one exterior angle of a regular decagon(10 sides)?

a)

36°

b)

360°

c)

10°

d)

72°

32.

What is the degree of one exterior angle of an octagon(8 sides)?

a)

8°

b)

360°

c)

20°

d)

45°

33.

What is the degree of one exterior angle of an 15-gon?

a)

96°

b)

48°

c)

12°

d)

24°

34.

What is the degree of one exterior angle of an 22-gon?

a)

16.36°

b)

36.16°

c)

66.13°

d)

31.33°

35.

What is the sum of the exterior angle of an 12-gon?

a)

30°

b)

360°

c)

36°

d)

300°

36.

How many sides(n) does a polygon have if one exterior angle is 60°

a)

9 sides

b)

6 sides

c)

3 sides

d)

12 sides

37.

How many sides(n) does a polygon have if one exterior angle is 22.5°

a)

12 sides

b)

18 sides

c)

16 sides

d)

14 sides

38.

How many sides(n) does a polygon have if one exterior angle is 15°

a)

21 sides

b)

22 sides

c)

23 sides

d)

24 sides

39.

What is the perimeter of this shape?

a)

16 cm

b)

17 cm

c)

18 cm

d)

19 cm

40.

What is the perimeter of this shape?

a)

6 cm

b)

12 cm

c)

18 cm

d)

24 cm

41.

What is the perimeter of this shape?

a)

25 m

b)

25 cm

c)

30 m

d)

30 cm

42.

What is the perimeter of this shape?

a)

79.2 mm

b)

79.2 m

c)

68.2 mm

d)

68.2 m

43.

What is the perimeter of this shape?

a)

72 m

b)

72 mm

c)

80 m

d)

80 mm

44.

What is the perimeter of this shape?

a)

48 mm

b)

48 m

c)

36 mm

d)

36 m

45.

What is the perimeter of a regular hexagon with sides 7.5 cm?

a)

37.5 cm

b)

45 cm

c)

52.5 cm

d)

60 cm

46.

A regular octagon has perimeter of 33.6 cm. What is the length of a side of the octagon?

a)

4 cm

b)

4.2 cm

c)

4.4 cm

d)

4.6 cm

47.

The perimeter of a regular heptagon is 39.2 cm. What is the length of a side of the heptagon?

a)

5.4 cm

b)

5.5 cm

c)

5.6 cm

d)

5.7 cm

48.

What is the area of this trapezoid?

a)

216 cm2

b)

204 cm2

c)

156 cm2

49.

What is the area of this trapezoid?

a)

14.25 m2

b)

17.25 m2

c)

22.5 m2

50.

What is the total length of the bases?

a)

10 in

b)

12 in

c)

14 in

51.

Find the area.

a)

40 in2

b)

40

c)

40 in

d)

4 in2

52.
a)
45 in
b)
45 in2
c)
95 in2
d)
45 mm2
53.

Find the area.

a)

121 mm2

b)

121 m2

c)

121 m3

d)

121

54.
Find the area.
a)
60 in
b)
60 in2
c)
50 in
d)
50 in2 
55.

What is the name of this shape?

a)

quadrilateral

b)

quadrilateral, parallelogram

c)

quadrilateral, rectangle

d)

quadrilateral, rhombus

56.

What are the lengths of the 2 diagonals?

a)

22 and 24 m

b)

5.5 and 6 m

c)

44 and 48 m

d)

14 and 12 m

57.

What is the area of the rhombus?

a)

264 m2

b)

448 m2

c)

121 m2

d)

255 m2

58.

What is the area of this kite?

a)

336 in 2

b)

26 in 2

c)

108 in2

d)

672 in 2

59.

find the area

a)

19.5 m2

b)

78 m2

c)

39 m2

d)

27 m2

60.
What is the area of this rhombus?
a)
48 cm2
b)
24 cm2
c)
16 cm2
d)
32cm2
61.

What is the formula for the area of a triangle?

a)

A = 1/2 bh

b)

A = bh

c)

A = s + s + s

62.

Find the area of the triangle.

a)

10 cm2

b)

24 cm2

c)

12 cm2

63.

Find the area of the triangle.

a)

11 cm2

b)

15 cm2

c)

30 cm2

64.

Find the area of the triangle.

a)

5 cm2

b)

10 cm2

c)

7 cm2

65.
A line from the center of a regular polygon at right angles to any of its sides.
a)
apothem
b)
radius
c)
permimeter
d)
area
66.
Find the area
a)
96 cm2
b)
48 cm2
c)
36 cm2
d)
48 cm
67.
Find the area.
a)
50.4
b)
700.56
c)
100.08
d)
1401.12
68.
Find the area.
a)
12.75
b)
191.25
c)
19.125
d)
95.625
69.

What is the area?

a)

24 cm2

b)

48 cm2

c)

120 cm2

d)

240 cm2

70.

Find the area.

a)

310.4 units2

b)

77.6 units2

c)

620.8 units2

d)

38.8 units2

71.
What is the area of this shape?
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
72.
What is the area of this shape?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
73.
a)
113 ft2
b)
107 ft2
c)
102 ft2
d)
100 ft2
74.
What is the area of the composite figure?
a)
48 cm2
b)
90 cm2
c)
78 cm2
d)
12 cm2
75.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
76.

What is the perimeter of this shape?

a)

33 cm

b)

23 cm

c)

36 cm

d)

40 cm

77.

The perimeter of this shape below is?

a)

38 cm

b)

41 cm

c)

42 cm

d)

39 cm

78.

What is the perimeter of this shape?

a)

13 units

b)

15 units

c)

16 units

d)

18 units

79.

The length of two sides in this figure have not been shown. How long are they?

a)

8cm and 3cm

b)

4cm and 2cm

c)

2cm and 3cm

d)

8cm an 4cm

80.

What is the perimeter?

a)

46 ft

b)

47 ft

c)

50 ft

d)

54 ft

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