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Dilation Review

Total questions: 37

Worksheet time: 46mins

Name
Class
Date
1.

In a DILATION, everything about the two shapes/images is congruent (same) except...

a)

size

b)

angles

c)

the type of shape

2.

SCALE FACTOR describes the number that is multiplied by a pre-image that determines...

a)

how many times bigger an image gets

b)

how many times smaller an image gets

c)

how many times bigger or smaller an image gets

3.

Which scale factor below would result in a dilation that is smaller than the pre-image?

a)

0.5

b)

3.5

c)

2

d)

4

4.

A dilation that increases in size will always have a scale factor that is...

a)

negative

b)

exactly 1

c)

greater than 1

d)

less than 1

5.

What scale factor was used in this magnifying glass?

a)

10

b)

5

c)

2.5

d)

2

6.

In this dilation, point A would be considered...

a)

the center of dilation

b)

the scale factor

c)

the center of rotation

d)

the point of no return

7.

Which image was the original/pre-image?

a)

ABCD (blue/larger)

b)

A'B'C'D' (orange/smaller)

8.

Which figure is a scaled copy/ dilation of Shape A?

a)

Shape B

b)

Shape C

c)

Shape D

9.

PQRS is a scaled copy/dilation of ABCD. Which side length on PQRS corresponds to BC?

a)

Side PQ

b)

Side QR

c)

Side RS

d)

Side SP

10.

PQRS is a scaled copy/dilation of ABCD. Wich angle on ABCD corresponds to angle PSR?

a)

Angle BAD

b)

Angle ABC

c)

Angle BCD

d)

Angle ADC

11.

PQRST is a scaled copy/ dilation of ABCDE. What is the scale factor from ABCDE to PQRST?

(a)  

12.

Which figures are scaled copies/dilations of shape A?

a)

Shape B

b)

Shape C

c)

Shape D

13.

Is Figure B a scaled copy/dilation of Figure A?

a)

Yes

b)

No

14.

What is the scale factor for the dilation from E to E' with point P being the center of dilation?

a)

12\frac{1}{2}

b)

2

c)

4

d)

14\frac{1}{4}

15.

What is the scale factor of this dilation?

a)

12\frac{1}{2}

b)

2

c)

3

d)

13\frac{1}{3}

16.
What is the scale factor from the small shape to the big shape?
a)
1/2
b)
7/3
c)
2
d)
10/3
17.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
18.
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
19.
What is the scale factor from ΔDEF to ΔABC?
a)

2

b)

3/2

c)

2/3

d)

1/2

20.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
21.
If the scale factor is greater than 1, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
22.
If the scale factor is less than 1, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
23.

What is the scale factor from ΔABC to ΔDEF?

a)

2

b)

3/2

c)

2/3

d)

1/2

24.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

25.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
26.

If AB = 3 and the scale factor is 4 then how long is A'B'?

(a)  

27.

What is the scale factor?

a)

1

b)

2

c)

1/2

d)

-2

28.

what is the scale factor?

a)

1

b)

3

c)

1/3

d)

8

29.
_________ ________ is the number you multiply by the sides to create a similar figure.
a)
Scale Factor
b)
Corresponding Angle
c)
Pi
d)
Mid Point
30.
What is the scale factor from the small shape to the big shape?
a)
1/2
b)
7/3
c)
2
d)
10/3
31.

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

a)

½

b)

¼

c)

4

d)

2

32.

If the blue polygon is the original image, find the scale factor and determine if it is a reduction or enlargement.

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

33.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
34.
Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?
a)
Yes, enlarge
b)
Yes, reduce
c)
No
35.
Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?
a)
(-1, -2.5)
b)
(12, 6)
c)
(3, -1.5)
d)
(0, 1.5)
36.

Triangle CAT has coordinates C (4,8) A (6,10) and T ( 6,4) where is A' after a dilation of scale factor of 1/2 

a)

(6,10)

b)

(3,2)

c)

(3,5)

d)

(0,0)

37.

How do you write the algebraic notation when the scale factor is 1/2?

a)

(x, y) −> (2x, 2y)

b)

(x, y) −> (1/2x, 1/2y)

c)

(x, y) −> (-2x, -2y)

d)

(x, y) −> (2x, 1/2y)