Free Printable Topic 7 - Similarity Review (Geometry)

1.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

2.

A dilation produces a similar figure

a)

True

b)

False

3.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) goes to (1/3x, 1/3y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

4.

Dilate Point B by a scale factor of 1/2

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

5.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

6.

Dilate point C by a scale factor of 4.

a)

(1.5, -0.75)

b)

(0, 12)

c)

(-8, -20)

d)

(24, -12)

7.

Dilate point B by a scale factor of 1/3.

a)

(0, 1)

b)

(-1, 0)

c)

(2, -1)

d)

(0, 9)

8.

In this figure, triangle TRS is the (a) , triangle T'R'S' is the (b) and a(n) (c) occurred.

Choose from the below words

pre-image

image

enlargement

reduction

spin

flip

9.

Quadrilateral NDPM was dilated to quadrilateral N'D'P'M'. What was the scale factor for this dilation?

a)

2

b)

3

c)

1/3

d)

1/2

10.

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-2,-5). If the triangle is dilated by a scale factor of 3, with the origin as the center of dilation, what are the coordinates of the vertices of the new image?

a)

A'(5,3), B'(6,2), C'(1,-2)

b)

A'(6,0), B'(9,-3), C'(-6,-15)

c)

A'(2/3,0), B'(1,-1/3), C'(-2/3,-5/3)

d)

A'(-1,-3), B'(0,-4), C'(-5,-8)

11.

Which series of transformations were performed in the figure?

a)

Translation 5 units down, reflection over the y-axis

b)

Reflection over the x-axis, translation 6 units right

c)

Rotation 90^oclockwise, reflection over the x-axis

d)

Rotation 180^oclockwise, reflection over the y-axis

12.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

13.

Which of the following are Dilations?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

14.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

(x-2, y+5)

b)

(x+2, y-9)

c)

(x-2, y+9)

d)

(x-9, y+2)

15.

What is the sequence of transformations for the image given?

a)

Reflect over the x-axis, translate (x+8,y)

b)

Reflect over the x-axis then translate (x+6, y)

c)

Reflect over the y-axis then (x+1, y+1)

d)

Translate down 4 (y-4) and to the right 5 (x+5)

16.

Find the scale factor of the dilation.

17.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

18.

Find side length X.

a)

30

b)

25

c)

15

d)

40

19.

The triangles are similar, solve for the question mark.

(a)

20.

Complete each proportion.

CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

21.

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

a)

SSS

b)

AA

c)

SAS

d)

not similar

22.

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

23.

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.

24.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

25.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, SSS

b)

Not Similar

c)

Yes, SAS

d)

Yes, AA

26.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

27.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, AA

d)

Not similar.

28.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

29.

∠U = ≅

a)

∠F

b)

∠G

c)

∠E

30.

Find the value of x using proportions.

a)

a

b)

b

c)

c

d)

d

31.

What is the height of the Tree?

a)

20

b)

15

c)

30

d)

10

32.

Find AE

a)

12.5

b)

18

c)

11.75

d)

13

33.

Complete the similarity statement: $\Delta VUT\sim\Delta$

a)

MVL

b)

VLM

c)

LMV

d)

VML

34.

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?

35.

Find x. Round to the nearest tenth if necessary.

36.

Solve for the variable x.

37.

Find the missing length indicated.

38.

Find the missing length indicated.

39.

Solve for m.

40.

Simplify the radical: √48

41.

Write the similarity statement.

a)

$\Delta RTS\sim\Delta RQP$

b)

$\Delta RTS\sim\Delta RPQ$

c)

$\Delta RTS\sim\Delta QPR$

d)

$\Delta RTS\sim\Delta PQR$

e)

$\Delta RTS\sim\Delta QRP$

42.

In the diagram below of right triangle ABC, WRITE THE SIMILARITY STATEMENT OF ALL 3 TRIANGLES.

a)

$\Delta ABC\sim\Delta CBD\sim\Delta ACD$

b)

$\Delta ABC\sim\Delta CDB\sim\Delta ADC$

c)

$\Delta ABC\cong\Delta CBD\cong\Delta ACD$

d)

$\Delta ABC=\Delta CBD=\Delta ACD$

43.

Solve for x.

a)

12

b)

3.3

c)

4.9

d)

5.5

44.

Find x.

a)

48

b)

15

c)

80

d)

60

45.

x=?

a)

3

b)

5

c)

4

d)

6

46.

Find the value of x.

a)

2√7

b)

7√2

c)

√28

d)

28

47.

Find x.

a)

48

b)

15

c)

80

d)

60

48.

a)

6√4

b)

2

c)

4√6

d)

√6

49.

Name a segment parallel to segment AC

a)

segment DE

b)

segment DB

c)

segment AC

d)

segment BC

50.

Which side length corresponds with EF?

a)

ML

b)

LM

c)

OL

d)

EH

51.

Find the missing length indicated.

a)

6

b)

10

c)

5

d)

12

52.

Find the value of x.

a)

6

b)

12

c)

8

d)

None of these

53.

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

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

54.

Find x.

a)

6

b)

9

55.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

56.

Find x.

a)

18

b)

21

c)

11.8

57.

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)

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

58.

Solve for x:

a)

11

b)

16.5

c)

22

d)

18.25

59.

Solve for x:

a)

33

b)

22

c)

28

d)

16.5

60.

Solve for x:

a)

18.6

b)

16.8

c)

22.2

d)

14.2

61.

Solve for x. (HINT: Remember to distribute)

a)

5

b)

10

c)

3

d)

8

62.

Solve for x. (HINT: Remember to distribute)

a)

12.83

b)

17.12

c)

-5

d)

1.55

63.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

Topic 7 - Similarity Review (Geometry)

Total questions: 63

Worksheet time: 5hrs 15mins

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