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Dilations Algebraic Rules

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.
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
2.
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
3.
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
4.

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)

5.

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)

6.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
7.
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)
8.
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
9.

(x, y) -> (2x, 2y)

What is the coefficient 2 mean?

a)

plot 2 to the right and 2 up

b)

scale factor is 2 creating a new figure half the size

c)

scale factor is 2 making a figure twice the

original

d)

flip it 2 times

10.
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)
11.
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.
12.
If the scale factor is greater than 1, the dilation is...
a)
an enlargement
b)
a rotation
c)
a translation
d)
a reduction
13.
If the scale factor is less than 1, the dilation is...
a)
an enlargement
b)
a translation
c)
a rotation
d)
a reduction
14.
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.
15.

Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1). What is the algebraic rule if it is dilated by a scale factor of 2.5?

a)

(x, y)→(2.5x, 2.5y)

b)

(x, y)→(x, 2.5y)

c)

(x, y)→(x+2.5, y+2.5)

d)

(x, y)→(x-2.5, 2y)

16.

Rectangle ABCD is dilated by a scale factor of 3/2. What is the algebraic rule?

a)

(2x, 3y)

b)

(2/3 x, 2/3 y)

c)

(3/2 x, 3/2 y)

d)

(x + 2, y + 3)

17.

Rectangle ABCD is dilated by a scale factor of 1.5

What is the rule?

a)

(-2x, +1y)

b)

(1.5x, 1.5y)

c)

(x, 1.5y)

d)

(x - 1.5, y - 1.5)

18.
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)
19.
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)
20.
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. 
21.
Which could be the rule used to dilate ABC to A'B'C'?
a)
(5x, 5y)
b)
(3x, 3y)
c)
(1/3 x, 1/3 y)
d)
(2x, 2y)
22.

Figure S is dilated to create Figure T. What is the rule used to create the Figure T

a)

(x, y)→(2x, 2y)

b)

(x, y)→(1/2 x, 1/2 y)

c)

(x, y)→(1/3x, 1/3y)

d)

(x, y)→(4x, 6y)

23.

A figure was dilated to create a new figure, which rule represents an enlargement?

a)

(x, y)→(.2x, .3y)

b)

(x, y)→(x, -y)

c)

(x, y)→(x+3, y+3)

d)

(x, y)→(5x, 5y)

24.

Which rule describes a reduction?

a)

(x, y)→(-x, -y)

b)

(x, y)→(1/5x, 1/5y)

c)

(x, y)→(5x, 5y)

d)

(x, y)→(1/4x, y+4)

25.

Which rule describes a reduction?

a)

(x, y)→(.33x, .33y)

b)

(x, y)→(4x, 4y)

c)

(x, y)→(x+.33, y+.33)

d)

(x, y)→(x, -y)