Free Printable Triangles

1.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

2.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

3.

Solve for x.

a)

16

b)

11

c)

50

d)

6

4.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

5.

Find <S

a)

A

b)

B

c)

C

d)

D

6.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

7.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

8.

Find the value of x by using the exterior angle theorem.

a)

A

b)

B

c)

C

d)

D

9.

Find x.

a)

x = 118

b)

x = 31

c)

x = 23

d)

x = 62

10.

Which Angle measurements does NOT create a Triangle?

a)

60,60,60

b)

90,45,45

c)

50,60,40

d)

50,100,30

11.

Solve for x.

a)

8

b)

-10

c)

-7

d)

6

12.

Solve for x.

a)

-12

b)

-8

c)

-10

d)

-5

13.

What is the measure of angle x?

a)

45

b)

60

c)

65

d)

75

14.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

15.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

16.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

17.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

18.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

19.

a)

5

b)

10

c)

12

d)

15

20.

a)

20

b)

30

c)

25

d)

23

21.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

22.

a)

15

b)

13

c)

11

d)

17

23.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

24.

Similar triangles have...

a)

Same corresponding side lengths

b)

Same corresponding angle measures

c)

Proportional angle measures

d)

same size and angle measures

25.

All angles in similar figures are congruent.

a)

True

b)

False

26.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

27.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

28.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

a)

3.75

b)

9.75

c)

10

d)

12

29.

Review the picture. Find the missing side measurement in the picture using a proportion.

a)

w = 18 m

b)

w = 6 m

c)

6 m

d)

w = 0.16 m

30.

Find y.

a)

144

b)

18

c)

72

d)

12

31.

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

32.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

33.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

34.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

35.

Solve for angle 2

a)

20

b)

120

c)

35

d)

145

36.

Solve for angle 1

a)

120

b)

145

c)

35

d)

20

37.

An exterior angle of a triangle...

a)

is equal to the sum of the two adjacent angles

b)

is equal to to 180 degrees

c)

is equal to the sum of the two remote interior angles

d)

is equal to a remote interior angle

38.

Which equation allows you to solve for y?

a)

180 - 46 = 4y + 8

b)

9y + 11 = 180

c)

9y + 11 = 146

d)

9y + 11 = 180 - 146

39.

Which statement is true?

a)

∠3 = ∠A + ∠C

b)

∠2 = ∠1 + ∠3

c)

∠A + ∠B = ∠3

d)

∠2 = ∠A + ∠3

40.

Which of the following proportions allows you to solve for x?

a)

$\frac{x}{32}=\frac{12}{6}$

b)

$\frac{x}{12}=\frac{32}{18}$

c)

$\frac{32}{x}=\frac{6}{18}$

d)

$\frac{x}{6}=\frac{32}{12}$

41.

Are these triangles similar?

a)

Yes; same shape

b)

Yes; same angles

c)

No; different angles

d)

No; different shapes

Triangles

Total questions: 41

Worksheet time: 3hrs 48mins

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