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WorksheetsDilations
Total questions: 65
Worksheet time: 2hrs 16mins
Name
Class
Date
1.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
2.
The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
3.
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
4.
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.
a)
B' (2 , 4.5)
b)
B' (-8 ,-18)
c)
B' (8 ,18)
d)
B' (9 ,4)
5.
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)
6.
A dilation produces a congruent figure
a)
True
b)
False
7.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
8.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
9.
How do you write the algebraic notation when the scale factor is 3?
a)
(x, y) --> (1/3x, 1/3y)
b)
(x, y) --> (-3x, -3y)
c)
(x, y) --> (x + 3, y + 3)
d)
(x, y) --> (3x, 3y)
10.
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)
11.
Which of the following is the algebraic representation for a dilation?
a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (.5x, .4y)
12.
In a dilation what mathematical operation is used with the scale factor?
a)
addition
b)
subtraction
c)
multiplication
d)
division
13.
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
14.
State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.
a)
G' (5,3)
b)
G' (20,12)
c)
G' (-20,-12)
d)
G' (-5,-3)
15.
Similar figures have the same ______ but different ______.
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
16.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
17.
If your SF = 0.8, what type of dilation is it?
a)
Reduction
b)
Enlargement
18.
If your SF = 2.5, what type of dilation is it?
a)
Reduction
b)
Enlargement
19.
If your SF = 6/5, what type of dilation is it?
a)
Reduction
b)
Enlargement
20.
A dilation is given by the transformation (x, y) → (2.5x, 2.5y). What is the scale factor?
a)
2.5
b)
1/2.5
c)
This is not a dilation
d)
The scale factor cannot be determined
21.
Definition: The figure after a transformation has occurred.
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
22.
Definition: The figure before a transformation has occurred.
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
23.
A dilation always produces a congruent figure.
a)
True
b)
False
24.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
25.
Find the measure of x:
a)
6
b)
24
c)
33
d)
36
26.
Enlargement or reduction? Find the scale factor!
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.
27.
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)
28.
If the scale factor is greater than 1, the dilation is...
a)
an enlargement
b)
a rotation
c)
a translation
d)
a reduction
29.
If the scale factor is less than 1, the dilation is...
a)
an enlargement
b)
a translation
c)
a rotation
d)
a reduction
30.
Enlargement or reduction? Find the scale factor!
a)
It's an enlargement; the scale factor is 1/2.
b)
It's an enlargement; the scale factor is 2.
c)
It's a reduction; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 2.
31.
Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1). What are the coordinates of A' after a dilation by a scale factor of 2.5?
a)
(-5, 5)
b)
(5, -5)
c)
(5, 10)
d)
(7.5, -2.5)
32.
Rectangle ABCD is dilated so that A' is located at (3, 6). What could be the dilation rule?
a)
(2x, 3y)
b)
(2/3 x, 2/3 y)
c)
(3/2 x, 3/2 y)
d)
(x + 2, y + 3)
33.
Rectangle ABCD is dilated so that the coordinates of C' are (2, -1). What could be the dilation rule?
a)
(-2x, +1y)
b)
(1/2 x, 1/2 y)
c)
(2x, 2y)
d)
(x - 2, y - 1)
34.
Quadrilateral RSTV is dilated so that the coordinates of S' are (3, 9). What was the scale factor of the dilation?
a)
0.6
b)
(1, 3)
c)
3/2
d)
3
35.
Which algebraic expression could be the rule for a reduction?
a)
(x, y)→(2x, 2y)
b)
(x, y)→(5/2 x, 5/2 y)
c)
(x, y) →(0.5x, 0.5y)
d)
(x, y)→(5x, 5y)
36.
The algebraic expression for an enlargement by a scale factor of 3 is...
a)
(x, y)→(3x, 3y)
b)
(x, y)→(3, 3)
c)
(3x, y)→(x, y)
d)
(x, y)→(3x)
37.
Polygon ABCDE will be dilated by a scale factor of 2. Which statement is NOT true of the dilation?
a)
The corresponding angles of the two polygons will be equal.
b)
The dilation will be an enlargement.
c)
The original and the image will be congruent.
d)
Polygon A'B'C'D'E' will be proportional to polygon ABCDE.
38.
Enlargement or reduction? Find the scale factor!
a)
It's an enlargement; the scale factor is 3.
b)
It's a reduction; the scale factor is 1/3.
c)
It's a reduction; the scale factor is 1/2.
d)
It's an enlargement; the scale factor is 2.
39.
Circle I is dilated to create Circle II. Which could be the scale factor of the dilation?
a)
5
b)
3/8
c)
8
d)
8/3
40.
Figure S is dilated to create Figure T. Which could be the scale factor of the dilation?
a)
(x, y)→(2x, 2y)
b)
(x, y)→(1/2 x, 1/2 y)
c)
(x, y)→(3x, 3y)
d)
(x, y)→(4x, 6y)
41.
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(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)
42.
A dilation produces a similar figure
a)
True
b)
False
43.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
44.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
45.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
46.
A transformation that “turns” a figure about the origin and a given direction, 90 degrees clockwise
a)
(-x, -y)
b)
(y, -x)
c)
(-y, x)
d)
(x, -y)
47.
G(-4,1),.....After a translation of 3 units down and 5 units right
a)
G’(-1,6)
b)
G’(1, -2)
48.
Triangle ABC has vertices A(5,2). Find the coordinates of ABC after a reflection over the x-axis.
a)
A’ (5, -2)
b)
A’(-5, 2)
c)
A’(-5, -2)
d)
A' (5, 2)
49.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
50.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
51.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
52.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
53.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o clockwise Rotation
d)
360o Rotation
54.
Identify the transformation from A to B.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o clockwise Rotation
d)
360o Rotation
55.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
56.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
57.
Find K'.
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
58.
What movie are these puppies from?
a)
Lady and The Tramp
b)
Bambi
c)
Jungle Book
d)
101 Dalmations
59.
What is the princesses name?
a)
Ariel
b)
Rapunzel
c)
Jasmine
d)
Belle
60.
Who is the character wearing the hat?
a)
Alice
b)
The Mad Hatter
c)
Cheshire Cat
d)
2 of hearts
61.
Who is Bambi's best friend in the picture?
a)
Bambi
b)
Flower
c)
Owl
d)
Thumper
62.
What movie is this picture from?
a)
Finding Nemo
b)
Finding Math
c)
Finding Dory
d)
Finding Mrs. Nagy
63.
Who is this character that starred in Aladdin?
a)
Abu
b)
Jafar
c)
Genie
d)
Aladdin
64.
What is the monkey's name in The Lion King?
a)
Rafiki
b)
Mufasa
c)
Zazu
d)
Simba
65.
Who is tigger's friend that is a donkey?
a)
Piglet
b)
Eeyore
c)
Roo
d)
Winnie the Pooh
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