Free Printable Topic #10 - Similar Triangles

1.

State the postulate that proves these triangles are similar.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

2.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

3.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

4.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

5.

Find side length X.

a)

30

b)

25

c)

15

d)

40

6.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

7.

Are the triangles similar?

a)

Yes

b)

No

8.

What similarity theorem would prove that these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

Side Splitter

9.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

10.

Find missing side

a)

5

b)

7

c)

9

d)

11

11.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

12.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

13.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

14.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

15.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

16.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

17.

Determine if the triangles are similar. Justify.

a)

Yes, by SSS.

b)

Yes, by SAS. Scale Factor is 1:2.

c)

Yes, by SAS. Scale Factor is 3:1.

d)

No, not similar.

18.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

19.

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

20.

Find the value of x.

a)

6.92

b)

18.67

c)

2.625

d)

13.71

21.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

22.

Solve for x.

a)

3

b)

6

c)

8

d)

9

23.

Triangle SQR is similar to triangle SPT. Which segment corresponds to segment QR?

a)

A) SP

b)

B) ST

c)

C) PR

d)

D) PT

24.

Which of the following is NOT true about similar figures?

a)

A) Similar figures always have the same shape.

b)

B) Similar figures always have the same size.

c)

C) Similar figures always have corresponding angles that are equal.

d)

D) Similar figures always have corresponding sides that are proportional.

25.

Are the triangles similar?

a)

Yes

b)

No

26.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

27.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

28.

Find side length X.

a)

30

b)

25

c)

15

d)

40

29.

What does it mean for two shapes to be similar?

a)

Same shape, but different size.

b)

Same size and same shape.

c)

Their angles add up to 180^o.

d)

They are congruent.

30.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

not similar

31.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

NOT SIMILAR

32.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. Select all that applies.

a)

AA

b)

SAS

c)

SSS

d)

not similar

33.

a)

1:3

b)

3

c)

2:3

d)

3:2

34.

a)

7

b)

12

c)

6

d)

4

35.

Find the value of X.

a)

4

b)

6

c)

12

d)

7

36.

a)

45°:117°:18°

b)

45°:18°:117°

c)

35°:115°:20°

d)

35°:120°:22°

37.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SAS

b)

AA

c)

SSS

d)

not similar

38.

Use the information in the diagram to determine the height of the tree.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

39.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

40.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

41.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

42.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

43.

Tell whether the triangles are similar. Explain.

a)

Yes because it looks like it

b)

Yes because 81 + 48 + 51 = 180

c)

No because 81 + 48 + 51 =/= 180

d)

Def not

44.

Tell whether the triangles are similar. Explain.

a)

Yes because it looks like it

b)

Yes because 36 + 72 + 33 = 180

c)

No because 36 + 72 + 33 =/= 180

d)

Def not

45.

Find the missing length indicated.

Write down your work.

a)

30

b)

25

c)

45

d)

50

46.

Solve for x.

Write down your work.

a)

18

b)

12

c)

6.75

d)

85.3

47.

Find the missing length indicated.

Write down your work.

a)

6

b)

10

c)

5

d)

12

48.

Which proportion could be used to prove that $HJ\parallel KL$ ?

a)

$\frac{KL}{HJ}=\frac{KG}{LG}$

b)

$\frac{KH}{KG}=\frac{LG}{LJ}$

c)

$\frac{HK}{JL}=\frac{LG}{GK}$

d)

$\frac{GK}{HK}=\frac{GL}{LJ}$

49.

Find AB. Hint: Solve for x and then find AB.

Write down your work.

a)

16

b)

4

c)

8

d)

48

50.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

51.

Are the triangles similar?

Write down your work.

a)

Yes

b)

No

52.

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.

a)

adjacent; equal

b)

complementary; scalene

c)

congruent; similar

d)

supplementary; isosceles

53.

Select the proportion that shows the Triangle Proportionality Theorem.

a)

$\frac{6}{27}=\frac{7}{x}$

b)

$\frac{6}{21}=\frac{7}{x}$

c)

$\frac{7}{6}=\frac{x}{27}$

54.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

55.

What is the height of the flag pole?

Show your work.

a)

205

b)

105

c)

230

d)

135

Topic #10 - Similar Triangles

Total questions: 55

Worksheet time: 9hrs 10mins

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