Free Printable Similarity for Week

Free Printable Worksheets

Worksheets

Similarity for Week

Total questions: 55

Worksheet time: 3hrs 50mins

Name

Class

Date

1.

Are the two triangles similar?

a)

Similar

b)

Not similar

2.

Are the two triangles similar?

a)

Similar

b)

Not similar

3.

Are the two triangles similar?

a)

Similar

b)

Not similar

4.

Are the two triangles similar?

a)

Similar

b)

Not similar

5.

Write a proportion to solve for x.

a)

80

b)

5

c)

0.2

6.

Write a proportion to solve for x.

a)

2

b)

0.5

c)

32

7.

Write a proportion to solve for x.

a)

0.04

b)

10.71

c)

21

8.

Write a proportion to solve for x.

a)

15

b)

0.067

c)

2.4

d)

150

9.

Write a proportion to solve for x.

a)

1000

b)

25

c)

0.04

d)

100

10.

a)

4

b)

36

c)

0.25

d)

9

11.

Are the triangles similar?

a)

Yes

b)

No

12.

Are the triangles similar?

a)

Yes

b)

No

13.

Are the triangles similar?

a)

Yes

b)

No

14.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

15.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

16.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

17.

∠U = ≅

a)

∠F

b)

∠G

c)

∠E

18.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

19.

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

a)

A

b)

B

c)

C

d)

D

20.

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

21.

In Similar figures the ________________ are the same.

a)

Angles

b)

Sides

c)

Diagonals

22.

Pick the correct Similarity Statement for the Triangles shown.

a)

ΔCAB ~ ΔDEF

b)

ΔABC ~ ΔDFE

c)

ΔABC ~ ΔDEF

d)

ΔBCA ~ ΔDEF

23.

Pick the correct Similarity Statement for the Triangles shown.

a)

ΔABC ~ ΔPRQ

b)

ΔABC ~ ΔPQR

c)

ΔCBA ~ ΔPRQ

d)

ΔACB ~ ΔQRP

24.

Pick the correct Similarity Statement for the Triangles Shown.

a)

ΔABC ~ ΔXYZ

b)

ΔACB ~ ΔYZX

c)

ΔCAB ~ ΔZXY

d)

ΔABC ~ ΔZXY

25.

Given that the two triangles are similar, which side is corresponding to PQ?

a)

EF

b)

DE

c)

DF

d)

FE

26.

Given the two triangles are similar, which side is corresponding to PR?

a)

DE

b)

EF

c)

DF

d)

FD

27.

Find the scale factor (common ratio) between the two triangles.

a)

3/2

b)

1

c)

9/4

d)

4/9

28.

Which side is corresponding to 7?

a)

15

b)

18

c)

21

d)

5

29.

Which side is corresponding to 18?

a)

5

b)

6

c)

7

d)

15

30.

What is true about similar figures?

a)

Everything is congruent

b)

They have the same shape but different size

31.

Determine if the following figures are similar or not using common ratios.

a)

Yes, because 1/8 = 14/122

b)

No, because 1/8 is not equal to 14/122

c)

Yes, because 1/8 is not equal to 14/122

32.

Determine if the two figures are similar or not using common ratios.

a)

Yes, because 6/4 = 8/6

b)

No, because 6/4 does not equal 8/6

c)

No, because 6/8 = 4/6

d)

Yes, because 6/8 = 4/6

33.

Determine if the two figures are similar or not using common ratios.

a)

No, the ratios between corresponding sides are different.

b)

No, because the sides aren't equal.

c)

Yes, because all the ratios are 4 to 1

d)

Yes, because all the ratios are 8 to 1

34.

Find the scale factor of the following triangles. (make sure to simplify)

a)

18 to 5

b)

15 to 6

c)

5 to 7

d)

3 to 1

35.

What ratio would I use for the side 5 and its corresponding side?

a)

15/5 = 3

b)

21/5

c)

18/5

d)

7/5

36.

Are these triangles similar?
Angles in Triangle 1: 40⁰,60⁰, and 80⁰
Angles in Triangle 2: 40⁰,50⁰, and 90⁰

a)

Yes

b)

No

c)

There is not enough information to decide.

37.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

38.

Triangle ABC is congruent to Triangle XYZ. What side corresponds to XZ?

a)

BC

b)

AB

c)

AC

d)

XY

39.

Are Triangle ABC and Triangle XYZ similar?

a)

No, corresponding angles are not congruent

b)

No, corresponding sides are not proportional

c)

Yes, corresponding angles are congruent

d)

Yes, corresponding sides are proportional

40.

Are the triangles similar? Explain.

a)

No, because only one angle of the triangles is congruent.

b)

Yes, because two of the angles are congruent.

c)

No, because only one triangle has a right angle.

d)

Not enough information to determine.

41.

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.

42.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

43.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

44.

What is the scale factor from MNOP to ABCD?

a)

2/3

b)

1/2

c)

3/2

d)

2

45.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

46.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

47.

How does a dilation change the angles of a polygon?

a)

It changes by the scale factor.

b)

Dilations do not change the angles.

c)

It is impossible to answer this question. The angles change unpredictably.

d)

The angles all change to larger angles.

48.

What is the value of X?

a)

X=4

b)

X=6

c)

X=3

d)

X=2

49.

Are the triangles similar?

a)

Yes

b)

No

50.

When you dilate a figure you...

a)

slide it.

b)

turn it.

c)

flip it.

d)

make it larger or smaller.

51.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

52.

What is ratio of any two corresponding sides?

a)

Scale Factor

b)

Corresponding Sides

c)

Similar Figures

53.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

54.

What is the scale factor?

a)

1/2

b)

7/3

c)

2

d)

10/3

55.

All angles in similar figures are congruent.

a)

True

b)

False

100 %

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