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OUR 8th Grade Unit 2 Test Review

Total questions: 50

Worksheet time: 50mins

Name
Class
Date
1.

Dilate A using P as the center of dilation and a scale factor of 4 .Where is the new point?

a)
b)
2.

Dilate B using P as the center of dilation and a scale factor of 3. Where is the new point B'?

a)
b)
3.

In the diagram, what is the center of dilation?

a)

D

b)

E

c)

A

d)

C

4.

When the scale factor is ___________ 1, the dilation increases the size.

a)

less than

b)

greater than

c)

equal to

5.

When the scale factor is ___________ 1, the dilation decreases the size.

a)

Less than

b)

Greater than

c)

Equal to

6.

The scale factor from ______ to ______ is ½.

a)

Triangle ADE to ACB

b)

Triangle ACB to ADE

7.

The scale factor from ______ to ______ is 2.

a)

Triangle ACB to triangle ADE

b)

Triangle ADE to triangle ACB

8.

What is the image of rectangle ABCD under dilation using center P and scale factor 2?

a)
b)
9.

What is the image of EFGH using center P and a scale factor of 1/4?

a)
b)
10.

What is the dilation going from the smaller triangle to the larger triangle?

a)

4

b)

1/3

c)

3

d)

1/4

11.

What id the dilation going from the larger triangle to the smaller triangle?

a)

3

b)

4

c)

1/4

d)

1/3

12.

Describe a sequence of transformations that shows these two images are similar.

a)

Rotate 90 degrees counterclockwise, translate to the right, reflect upward, dilate by 2

b)

Rotate 90 degrees clockwise, reflect upward, translate to the right, dilate by 2

c)

Rotate 90 degrees clockwise, translate to the left, reflect upward, dilate by 1/2

d)

Rotate 90 degrees counterclockwise, reflect downward, dilate by 1/2

13.

Why are these images not similar?

a)

They are not the same shape.

b)

They are congruent.

c)

They have different angles.

d)

They have a different scale factor.

14.

Why are these images not similar?

(Select ALL that apply.)

a)

They are not the same shape

b)

They are congruent

c)

They have different angles

d)

They have different scale factors

15.

Triangles ABC and DEF both contain a 30-degree and a 45-degree angle. Tyler claims that they must be similar. Is he correct?

a)

Yes

b)

No

16.

The two triangles shown are similar. Find the value of a/b.

a)

3

b)

2

c)

1.5

d)

2.5

17.

Which line has a slope of 1?

a)

Line k

b)

Line l

c)

Neither

d)

Both

18.

Which line has a slope of 2?

a)

Line k

b)

Line l

c)

Neither

d)

Both

19.

What is the slope of the line?

(Select ALL that apply.)

a)

4/6

b)

1/4

c)

2/5

d)

2/3

20.

What is the slope of line a?

a)

1/2

b)

1/4

c)

1/3

d)

2/3

21.

What are the vertical and horizontal side lengths of the triangle?

a)

7-y, 5-x

b)

7-x, 5-y

c)

y-5, x-7

d)

y-7, x-5

22.

What is an equation for this line?

a)
b)
c)
23.

Is the point (20,13) on this line?

a)

Yes

b)

No

24.

Dilations ALWAYS increase the length of line segments.

a)

True

b)

False

25.

Dilations of a triangle are similar to the original triangle.

a)

True

b)

False

26.

Dilations of an angle are congruent to the original angle.

a)

True

b)

False

27.

Dilations increase the angle measures.

a)

True

b)

False

28.

Dilations of a triangle are congruent to the original triangle.

a)

True

b)

False

29.

Dilations take perpendicular lines to perpendicular lines.

a)

True

b)

False

30.

Are the triangles similar?

a)

Yes

b)

No

31.

Are the triangles similar?

a)

Yes

b)

No

32.

Triangle ABC with side lengths 5, 12, and 13 will be dilated with a scale factor of 3. What will be the side lengths of the dilated triangle?

a)

8, 15, 16

b)

15, 36, 39

c)

15, 24, 39

d)

8, 36, 45

33.

Triangle CDE with side lengths 12, 16, 20 will be dilated by a scale factor of 1/4. What will be the side lengths of the dilated triangle?

a)

8, 12, 16

b)

48, 64, 80

c)

3, 4, 5

d)

6, 8, 10

34.

What is the slope of the line?

a)

1

b)

2

c)

1/2

d)

4

35.

Find the slope of the line.

a)

1/2

b)

2

36.

When finding slope from a graph, it is:

 verticalhorizontal\frac{vertical}{horizontal}  

a)

False

b)

True

37.

What transformations were performed to get triangle L"M"N"?

a)

reflection over the x-axis and a dilation of 2

b)

reflection over the y-axis and a dilation of 2

c)

translation of 3 right and 1 up and a dilation of 2

d)

reflection over the y-axis and a dilation of 1/2

38.

Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of B'?

a)

(-4,4)

b)

(-1,1)

c)

(1,-1)

d)

(1,1)

39.

Triangle JKL will be dilated with a scale factor of 3/2. What will be the coordinates of J'?

a)

(3,9)

b)

(9,3)

c)

(1.5, 4.5)

d)

(4.5, 1.5)

40.

What scale factor was used to dilate Triangle LMN to Triangle L'M'N'?

a)

1/2

b)

2

c)

3

d)

1/3

41.

a)

All the angles in Polygon A are congruent to all the angles in Polygon B

b)

Polygon A was dilated with a scale factor of 3 and then translated to get Polygon B

c)

All the sides in Polygon B are proportional to all the sides in Polygon A

d)

Polygon A was dilated with a scale factor of 1/3 and then translated to get Polygon B

42.

a)

A

b)

B

c)

C

d)

D

43.

Which of the following is NOT a slope of one of these lines

a)

2

b)

1/2

c)

3

d)

2/3

44.

Triangles 1 and 2 are both isosceles triangles. They each have one angle that is 30 degrees. Select all of the following true statements

a)

Triangles 1 and 2 will always be congruent

b)

Triangles 1 and 2 will sometimes be congruent

c)

Triangles 1 and 2 will never be congruent

d)

There is not enough information

45.

What is the length of segment DE?

a)

0.8

b)

5

c)

3.3

d)

1.2

46.

What is the length of segment AC?

a)

0.8

b)

5

c)

3.3

d)

1.2

47.

What is the slop of this line?

a)

1/3

b)

3

c)

-1/3

d)

-3

48.

What is the value of c?

a)

2.5

b)

3

c)

3.5

d)

4

49.
a)

A

b)

B

c)

C

d)

D

50.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3