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OUR Unit 2 Review

Total questions: 62

Worksheet time: 3hrs 24mins

Name
Class
Date
1.

Which of the following are scaled copies of the original portrait? Select ALL the apply.

a)

A

b)

B

c)

C

d)

D

e)

E

2.

Which of the following is a scaled copy of figure A?

a)

B

b)

C

c)

D

d)

None of these are scale copies

3.

Which side length on the scaled copy corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

4.

What is the scale factor?

(a)  

5.

If the scale factor is 4, what is the measurement of slide length x?

(a)  

6.
If a scale factor is LESS THAN ONE, the new figure will be ___________________ .
a)
an enlargement
b)
a reduction
c)
none of these
d)
the same size
7.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
8.

This kind of circular grid is mostly used for (a)   .

9.

ΔABC\Delta ABC  was dilated to produce  ΔABC\Delta A'B'C' . What is the scale factor?

(a)  

10.

AA is dilated to make  AA'  


What is the scale factor?



(a)  

11.

CC is dilated to make  CC'  


What is the scale factor?



(a)  

12.

BB is dilated to make  BB'  


What is the scale factor?



(a)  

13.

Are the following similar? Why or why not?

a)

Yes, the sides are proportional

b)

No, only one side is congruent

c)

No, there is no rotation, reflection, translation or dilation that could make one polygon overlay the other.

d)

Yes, by a vertical dilation with a scale factor of 2, the polygons could overlap where all points match.

14.

A photo is 12 in. wide by 18 in. tall. Is it possible to scale down (dilate) the photo to fit in a 5 x 7 frame without cropping?

a)

Yes, both sides are proportional (1218=57)\left(\frac{12}{18}=\frac{5}{7}\right)

b)

Yes, but the picture will be distorted

c)

No, the sides would not be proportional (512718)\left(\frac{5}{12}\ne\frac{7}{18}\right)

d)

No, because 12 is not a multiple of 5.

15.

Two objects that are the exact same shape (angles are the same) but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

16.

A proportion is two ratios that are __________.

a)

parallel

b)

equal

c)

not equal

d)

in deep, deep love with each other

17.

When figures are similar, their corresponding sides are__________________.

a)

congruent

b)

proportional

c)

complimentary

d)

supplementary

18.

When figures are similar, their corresponding angles are__________________.

a)

congruent

b)

proportional

c)

supplementary

d)

complimentary

19.

What is the definition of difference?

a)

the result of subtraction

b)

the result of division

c)

the result of addition

d)

the result of multiplication

20.

How can I find the distance between 8 and 3.

a)

838-3

b)

8+38+3

c)

383-8

d)

3+83+8

21.

How can I find the distance between 7 and 2.

a)

727-2

b)

7+27+2

c)

272-7

d)

2+72+7

22.

How can I find the distance between 2 and 12.

a)

12212-2

b)

12+212+2

c)

2122-12

d)

2+122+12

23.

How can I find the distance between -3 and -5.

a)

3(5)-3-\left(-5\right)

b)

3+(5)-3+\left(-5\right)

c)

5(3)-5-\left(-3\right)

d)

5+(3)-5+\left(-3\right)

24.

How can I find the distance between  xx   and 2.

a)

x2x-2

b)

x+2x+2

c)

2x2-x

d)

2+x2+x

25.

Triangle ABC will be dilated by a scale factor of 1/2 with a center at C. What will be the coordinates of C'?

a)

(6,-3)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

26.

Dilate Point B by a scale factor of 3 with a center at the origin. Where are the coordinates of its image?

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

27.

Does the image show a Dilation? If so, what is the center of dilation and the scale factor?

a)

Yes, center: (0,0), scale factor: 2

b)

Yes, center: (0,0), scale factor: 0.5

c)

Yes, center: Point C, scale factor 2

d)

No, this is dilation and a translation

28.

Triangle ABC will be dilated by a scale factor of 1/2 with a center at A. What will be the coordinates of C'?

a)

(-2,-3)

b)

(2, -4)

c)

(-4, 2)

d)

(3, -1.5)

29.

Triangle ABC will be dilated around the origin by a scale factor of 13\frac{1}{3}  with a center at the origin. Where are the coordinates of A'?

a)

(4, 4)

b)

(12, 12)

c)

(43, 43)\left(\frac{4}{3},\ \frac{4}{3}\right)  

d)

(3, 3)

30.

Find side length xx  .

(a)  

31.

Solve for xx  .



(a)  

32.

Solve the proportion for pp  

(a)  

33.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
34.

Are the two ratios proportional?

a)

Yes, they are equal

b)

No, 68=34\frac{6}{8}=\frac{3}{4} while 2440=35\frac{24}{40}=\frac{3}{5}

c)

Yes, 24 is divisible by 6 and 40 is divisible by 8.

d)

No, six is not divisible by eight.

35.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
36.

The two triangles are similar. Side  xx corresponds to the side with a length of 10. What is the scale factor?



(a)  

37.

What scale factor was used to produce the image?

(a)  

38.

The pair of figures are similar. What is the length of xx  ?




(a)  

39.
The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
40.

Segment DEDE measures 4 cm. Point  CC  is the center of dilation. How long is image of  DEDE  after a dilation with a scale factor of 6



(a)  

41.

Segment DEDE measures 4 cm. Point  CC  is the center of dilation. How long is image of  DEDE  after a dilation with a scale factor of 2.3



(a)  

42.

Segment DEDE measures 4 cm. Point  CC  is the center of dilation. How long is image of  DEDE  after a dilation with a scale factor of ww ?



(a)  

43.

Segment DED'E' measures 4 cm and is a dilation of segment DEDE . Point  CC  is the center of dilation. How long is  DEDE  if the scale factor of the dilation was 4?



(a)  

44.

Segment DEDE measures 4 cm. Point  CC  is the center of dilation. How long is image of  DEDE  after a dilation with a scale factor of 0.23



(a)  

45.

The quotient of the vertical change and horizontal change is in a line is called:

a)

slope

b)

a proportion

c)

triangles

d)

unit rate

46.

What is the slope of line aa  ?

(a)  

47.

What is the length of the horizontal side of the slope triangle?

(a)  

48.

Which of these is an equation for line aa  ?

a)

x7y5=13\frac{x-7}{y-5}=\frac{1}{3}  

b)

x5y7=13\frac{x-5}{y-7}=\frac{1}{3}  

c)

x5y7=3\frac{x-5}{y-7}=3  

d)

y7x5=13\frac{y-7}{x-5}=\frac{1}{3}  

49.

How can I find the distance between  xx   and 2.

a)

x2x-2

b)

x+2x+2

c)

2x2-x

d)

2+x2+x

50.

The quotient of the vertical change and horizontal change is in a line is called:

a)

slope

b)

a proportion

c)

triangles

d)

unit rate

51.

Find the length of side xx  



(a)  

52.

Find the length of side xx  




(a)  

53.
Are the triangles similar?
a)
Yes
b)
No
54.

What is the length of side  ff  ?

(a)  

55.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
56.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
57.

Are the triangles similar?

a)

Yes, with a series of rigid transformations and dilations you can overlap the two triangles.

b)

No, all the angles are not congruent.

c)

Yes, both have an angle that is 81 degrees. Similar triangles have congruent angles.

d)

No, one is rotated.

58.

Triangles ABC and DEF are similar. Find the slope of line CECE  




(a)  

59.

The slope of line ACAC   is equal to ABBC\frac{AB}{BC}  . What is the measure of the slope?



(a)  

60.

The quotient of the vertical change and horizontal change is in a line is called:

a)

slope

b)

a proportion

c)

triangles

d)

unit rate

61.

Identify the slope of the red line. You can use the green slope triangles to help you.



(a)  

62.

Find the slope of the given line.

(a)