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Worksheets

Triangles and polygons

Total questions: 160

Worksheet time: 2hrs 0mins

Name
Class
Date
1.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Scalene
c)
Isosceles
d)
Equilateral
2.
.
.
What kind of triangle is this?
a)
Acute
b)
Right
c)
Obtuse
d)
Robot
3.
What kind of triangle is this?
a)
Acute
b)
Super
c)
Right
d)
Obtuse
4.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Scalene
c)
Isosceles
d)
Equilateral
5.
What kind of triangle is this?
a)
Acute
b)
Right
c)
Sparkly
d)
Obtuse
6.
How many acute angles must an acute triangle have?
a)
2
b)
1
c)
4
d)
3
7.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
8.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
9.
Find the measure of angle D.
a)
140 degrees
b)
16 degrees
c)
40 degrees
d)
90 degrees
10.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
11.

How are triangles classified?

a)

equal sides and types of angles

b)

number of sides and number of angles

c)

color and size

d)

angles

12.

An EQUILATERAL triangle has ___________.

a)

3 equal sides

b)

4 equal sides

c)

no equal sides

d)

2 equal sides

13.

A SCALENE triangle has _____________.

a)

3 equal sides

b)

4 equal sides

c)

no equal sides

d)

2 equal sides

14.

An ISOSCELES triangle has _____________.

a)

3 equal sides

b)

4 equal sides

c)

no equal sides

d)

2 equal sides

15.

An ACUTE triangle has ________________.

a)

1 acute angle

b)

2 acute angles

c)

3 acute angles

d)

no acute angles

16.
What type of triangle? 
a)
Acute
b)
Obtuse
c)
Right
d)
Isosceles
17.
What type of triangle is this? 
a)
obtuse
b)
equilateral
c)
acute
d)
right
18.
What type of triangle is this? 
a)
Acute
b)
Isosceles
c)
Right
d)
scalene
19.
What type of triangle is this? 
a)
Obtuse
b)
Right
c)
scalene
d)
isosceles
20.

This is . . .

a)

a scalene triangle

b)

an acute triangle

c)

an isosceles triangle

d)

an obtuse triangle

21.

This is . . .

a)

an acute triangle

b)

an obtuse triangle

c)

a right triangle

d)

an equilateral triangle

22.

this is . . .

a)

an acute triangle

b)

an obtuse triangle

c)

a right triangle

d)

an isosceles triangle

23.

This is . . . (chose two)

a)

an acute triangle

b)

an obtuse triangle

c)

a equilateral triangle

d)

an isosceles triangle

24.

This is . . . (chose two)

a)

a scalene triangle

b)

an obtuse triangle

c)

a equilateral triangle

d)

an isosceles triangle

25.

This is . . . (chose two)

a)

a scalene triangle

b)

an obtuse triangle

c)

an equilateral triangle

d)

an acute triangle

26.

This is . . .

a)

a scalene triangle

b)

an obtuse triangle

c)

an equilateral triangle

d)

a right triangle

27.

Find the missing angle indicated.

a)

180

b)

53

c)

30

d)

97

28.

Find the missing angle indicated.

a)

53

b)

97

c)

30

d)

20

29.

Find the missing angle indicated.

a)

127

b)

97

c)

53

d)

30

30.

Find the missing angle indicated.

a)

65

b)

115

c)

40

d)

83

31.

Find the missing angle indicated.

a)

65

b)

97

c)

40

d)

83

32.

Find the missing angle indicated.

a)

55

b)

97

c)

65

d)

83

33.

Find the missing angle indicated.

a)

32

b)

180

c)

65

d)

83

34.

Identify the type of triangle.

a)

Acute

b)

Right

c)

Obtuse

35.

Identify the type of triangle.

a)

Acute

b)

Right

c)

Obtuse

36.

Identify the type of triangle.

a)

Acute

b)

Right

c)

Obtuse

37.

Identify the type of triangle.

a)

Equilateral

b)

Isoceles

c)

Scalene

38.

Identify the type of triangle.

a)

Equilateral

b)

Isoceles

c)

Scalene

39.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
40.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
41.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
42.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
43.
Name the angle relationship.
a)
Alternate Exteriors
b)
Alternate Interiors
c)
Corresponding
d)
Consecutive Interiors
44.
Angle C and P are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
45.
Angle R and C are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
46.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
47.
a)
alternate interior
b)
vertical
c)
corresponding
d)
consecutive interior
48.
a)
Alternate interior angles
b)
alternate exterior angles
c)
corresponding angles
d)
vertical angles
49.
Two lines going the exact same way and will never intersect
a)
Alternate exterior angles
b)
Parallel lines
c)
Alternate interior angles
d)
Vertical lines
50.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
51.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
52.
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
53.
a)
∠1 & ∠8
are supplementary angles
b)
∠2 & ∠3
are supplementary angles
c)
∠4 & ∠5
are supplementary angles
d)
∠7 & ∠8 
are supplementary angles
54.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
55.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
56.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
57.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
58.
Name the angle relationship.
a)
Alternate Exteriors
b)
Alternate Interiors
c)
Corresponding
d)
Consecutive Interiors
59.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
60.
Angle C and P are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
61.
Angle P and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
62.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
63.
a)
alternate interior
b)
vertical
c)
corresponding
d)
consecutive interior
64.
a)
∠I=105°
b)
∠I=75°
c)
∠I=15°
d)
∠I=5x°
65.
a)
Alternate interior angles
b)
alternate exterior angles
c)
corresponding angles
d)
vertical angles
66.
Angle Q and B are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
67.
Angle R and C are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
68.
Angle P and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
69.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
70.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
71.
∠6 & ∠7 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
72.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
73.
What is the sum of the interior angles for a      24-gon
a)
3960
b)
360
c)
15
d)
4280
74.
What is the name of a 7 sided polygon?
a)
hexagon
b)
heptagon
c)
octagon
d)
nonagon
75.
Find the value of X.
a)
100° 
b)
110° 
c)
150° 
d)
168° 
76.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
77.

What do you call a polygon with "n" sides?

a)

n-gon

b)

There is no name for it

c)

nonagon

d)

polygon

78.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
79.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
80.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
81.
What is the sum of the interior angles for a      24-gon
a)
3960
b)
360
c)
15
d)
4280
82.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
83.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
84.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
85.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
86.
Is the figure a polygon? Is it convex or concave?
a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
87.
Find the value of X.
a)
100° 
b)
110° 
c)
150° 
d)
168° 
88.
Find the measure of angle K.
a)
9
b)
97°
c)
48°
d)
79°
89.
Find the value of x.
a)
138
b)
540
c)
64
d)
128
90.
Find the value of X
a)
94
b)
25
c)
36
d)
180
91.
Find the value of y.
a)
110
b)
90
c)
130
d)
120
92.
Find the value of x.
a)
5
b)
75
c)
51
d)
81
93.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
94.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
95.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
96.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
97.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
98.
What is the measure of ONE interior angle in a regular triangle (3 sides)?
a)
15°
b)
30°
c)
60°
d)
90°
99.

Find the angle SUM of the interior angles of the polygon.

a)

720°

b)

900°

c)

1080°

d)

1260°

100.
Find the value of X
a)
94
b)
25
c)
36
d)
180
101.
What is the name of a 7 sided polygon?
a)
hexagon
b)
heptagon
c)
octagon
d)
nonagon
102.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
103.
Find the value of X
a)
94
b)
25
c)
36
d)
180
104.

What is the measure of each interior angle of a Regular Polygon?

a)

S = (n-2)*180

b)

S = ((n-2)*180)/n

c)

S = (n-2)*360

d)

360/n

105.

What is the measure of ONE interior angle of a regular octagon?

a)

135

b)

180

c)

145

d)

190

106.
What is the sum of exterior angles of a pentagon?
a)
180
b)
360
c)
540
d)
760
107.

What is the measure of ONE interior angle of a regular 20-gon?

a)

90

b)

146

c)

162

d)

122

108.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

109.

Solve for the missing variable.

a)

255°

b)

90°

c)

60°

d)

105°

110.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

111.
Find the measure of the angle x.
a)
105
b)
115
c)
65
d)
75
112.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
113.
Find the angle Find the angle sum of the interior angles of the polygon. of the polygon.
a)
720° 
b)
900° 
c)
1080° 
d)
1260° 
114.
Find the angle sum of the interior angles of the polygon.
a)
180° 
b)
540° 
c)
720° 
d)
1080° 
115.
Find the interior angle measure of a polygon with an exterior angle of 165 degrees?
a)
180
b)
15
c)
360
d)
195
116.
What is the measure of one interior angle of a regular hexagon?
a)
120
b)
60
c)
45
d)
135
117.

What is the sum of the exterior for any polygon?

a)

180

b)

1260

c)

360

d)

9

118.
What is the formula for the sum of the interior?
a)
S=360
b)
S=180(n-2)
c)
n=360/ext. angle
d)
1 int. angle + 1 ext. angle=180
119.
How many sides does a Heptagon have?
a)
5
b)
7
c)
8
d)
10
120.
How many sides does Dodecagon have?
a)
12
b)
3
c)
5
d)
10
121.
How many sides does a pentagon have?
a)
7
b)
6
c)
5
d)
3
122.
Find the measure of one interior angle of a regular pentagon
a)
72
b)
108
c)
144
d)
180
123.
What is the sum of the interior angles of a hexagon?
a)
360
b)
540
c)
720
d)
1440
124.
6 sided shape
a)
Octagon
b)
Hexagon
c)
Heptagon
d)
Decagon
125.
9 sided shape
a)
nonagon
b)
hexagon
c)
octagon
d)
dodecagon
126.
What is this shape?
a)
Decagon
b)
Hexagon
c)
Octagon
d)
Nonagon
127.
REGULAR in Maths means...
a)
Normal
b)
Two sides have the same length
c)
All sides are equal and all angles are equal
d)
It has right angles
128.
Determine the measure of the indicated angle.
a)
119°
b)
61°
129.
Determine the measure of the indicated angle.
a)
86°
b)
94°
130.
Determine the measure of the indicated angle.
a)
109°
b)
71°
131.
Determine the measure of one interior angle in regular heptagon.
a)
128.6°
b)
51.4°
c)
360°
d)
900°
132.
Determine the measure of the indicated angle.
a)
127°
b)
53°
133.
Determine the measure of one exterior angle in regular octagon.
a)
135°
b)
45°
c)
360°
d)
1080°
134.
Determine the interior angle sum for a regular hexagon.
a)
120°
b)
60°
c)
360°
d)
720°
135.
Determine the measure of the indicated angle.
a)
92°
b)
94°
c)
42°
d)
47°
136.
Find the value of x.
a)
74
b)
42
c)
180
d)
222
137.
Find the value of x.
a)
16
b)
16.7
c)
43.3
d)
49
138.
Find the value of x.
a)
50
b)
10
c)
4
d)
80
139.
Find the value of x in the parallelogram RSTU.
a)
132
b)
75
c)
50
d)
12
140.
Determine the measure of angle d.
a)
144°
b)
36°
c)
72°
d)
18°
141.
A floor tiler has 16 boxes of regular dodecagon tiles and 18 boxes of square tiles.  Each tile has the same side length.  What type of regular polygon doe she need to buy to complete a regular tiling pattern?
a)
hexagon
b)
equilateral triangle
c)
pentagon
d)
square
142.
Find the value of x.
a)
-3
b)
11
c)
99
d)
20.6
143.
What is the sum of the measures of all the interior angles of a triangle?
a)
120°
b)
180°
c)
240°
d)
360°
144.
What is the sum of all angles?
a)
180
b)
720
c)
360
d)
Can't tell
145.
What is the sum of all angles?
a)
144
b)
1800
c)
1440
d)
12
146.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
147.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
148.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
149.
How many sides does a Quadrilateral have?
a)
4
b)
3
c)
6
d)
9
150.

What is the sum of the interior angles for a 24-gon?

a)

3960

b)

360

c)

15

d)

4280

151.
What is a polygon?
a)
A closed plane figure made up of line segments
b)
An open plane figure made up of line segments
c)
A closed plane figure made up of rays
d)
An open plane figure made up of rays
152.

The following polygon is a Regular Pentagon. Find the measure of EACH EXTERIOR angle of the polygon.

a)

50°

b)

55°

c)

72°

d)

355°

153.

Find the measure of EACH EXTERIOR angle of a 36-gon.

a)

10°

b)

15°

c)

18°

d)

20°

154.

What is the measure of EACH EXTERIOR angle of a 20-gon?

a)

14°

b)

15°

c)

17°

d)

18°

155.

Find the measure of EACH EXTERIOR angle of a 18-gon.

a)

160°

b)

360°

c)

20°

d)

2280°

156.
Find the value of y.
a)
125
b)
135
c)
140
d)
110
157.

Solve for the missing variable.

a)

255°

b)

90°

c)

60°

d)

105°

158.

Solve for x.

a)

220

b)

110

c)

250

d)

125

159.

Solve for x.

a)

150

b)

72

c)

30

d)

20

160.
Solve for x. 
a)
12
b)
10
c)
25
d)
5