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Dilation review

Total questions: 23

Worksheet time: 42mins

Name
Class
Date
1.

Which figures are similar to the first flower shown? Choose all that apply.

a)

A

b)

B

c)

C

2.

What is the center of dilation?

a)

(-2, -3)

b)

(0, 0)

c)

2

d)

(3, 1)

3.

What is the scale factor?

a)

(0, 0)

b)

(3. -5)

c)

2

d)

1/2

4.

A triangle has vertices at (1, 1), (1, 2), and (3, 2). It is dilated by a scale factor of 3 with the origin as the center of dilation to form a similar triangle. What are the coordinates of the vertices of the image?

a)

. (4, 1), (4, 2), (6, 2)

b)

(1, 4), (1, 5), (3, 5)

c)

. (4, 4), (4, 6), (6, 5)

d)

(3, 3), (3, 6), (9, 6)

5.

Rectangle ABCD is dilated to form rectangle A'B'C'D'. What is the dilation factor? What is the center of dilation? Select all that apply.

a)

dilation factor of 2

b)

dilation factor of 1/ 2

c)

center of dilation (1, 2)

d)

. center of dilation (2, 1)

6.

What is the name of the point from which a dilation is drawn?

a)

the vertex

b)

the corner

c)

the center of dilation

d)

The origin of dilation

7.

What type of transformation is shown?

a)

reflection

b)

reduction dilation

c)

rotation

d)

enlargement dilation

8.

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

a)

(-1, -2 1/2)

b)

(12, 6)

c)

(3, -1 1/2)

d)

(0, 1/2)

9.
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
10.
A scale factor of less than one means
a)
that the image will be larger than the pre-image.
b)
That the image will be the same as the pre-image.
c)
That you need to subtract that amount off  of each side.
d)
That the image will be a reduction of the pre-image.
11.

Choose the correct scale factor:

a)

2.5

b)

1.5

c)

3.5

d)

4

12.

To be exactly equal in size and shape.

a)

Corresponding

b)

Opposite

c)

Similar

d)

Congruent

13.

Triangle ABC is dilated to produce triangle A' B' C' with a scale factor 3/4. Which describes the relationship between the two triangles?

a)

Δ A' B' C' is a enlargement of Δ ABC .

b)

Δ A' B' C' is a mirror image of Δ ABC .

c)

Δ A' B' C' ≅ Δ ABC .

d)

Δ A' B' C' is a reduction of Δ ABC .

14.

The coordinates of triangle ABC are A (-1, 9), B (3, 6) and C (0, 1). Triangle GEF is a dilation of triangle ABC with a scale factor of 1/3. What are the coordinates of triangle GEF?

a)

A(- 1/3 , -1) B(1, 6) C(1/3 , 0)

b)

A(-3, 3) B(9, 2) C(0, 1/3 )

c)

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

d)

A( 1/3 , 3) B(1, 3) C(0,1/3 )

15.
a)

A dilation of 1/2 followed by a reflection across the x-axis

b)

A dilation of 2 followed by a reflection across the y-axis

c)

A dilation of 2 followed by a reflection across the x-axis

d)

A dilation of 1/2 followed by a reflection across the y-axis

16.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
17.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
18.
If the scale factor is less than 1, the dilation is...
a)
an enlargement
b)
a translation
c)
a rotation
d)
a reduction
19.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
20.
If the scale factor is greater than 1, the dilation is...
a)
an enlargement
b)
a rotation
c)
a translation
d)
a reduction
21.

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

a)

(3, 6)

b)

(1.5, 3)

c)

(6, 12)

d)

(12, 6)

22.
A scale factor of 1/2 reduces a figure.
a)
True
b)
False
23.

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

a)
b)