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Worksheets

Scale Factors,Dilations, and Transformations

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

What is another word for translate?

a)

Slide

b)

Flip

c)

Turn

2.

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)

3.

What is S' after a reflection of point S(-2, 5) over the x-axis?

a)

(2, -5)

b)

(2, 5)

c)

(-2, -5)

d)

(-2, 5)

4.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
5.

What would be P' after translating point P(4,5) 3 units down and 2 units left?

a)

(6, 8)

b)

(1, 3)

c)

(2, 2)

d)

(7, 7)

6.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
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.

When you translate, (x-4 ,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

9.
What is the scale factor from the small shape to the big shape?
a)
1/2
b)
7/3
c)
2
d)
10/3
10.

What line was the pre-image reflected over to give the image in the picture?

a)

y-axis

b)

x-axis

c)

x=1

d)

y=1

11.
What is the definition of dilations in mathematical terms?
a)
to make larger or smaller
b)
to make larger
c)
none of the above
d)
to make smaller
12.
Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
13.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
14.

What is another word for rotation?

a)

Slide

b)

Flip

c)

Turn

15.
Translations, rotations, and reflections are three different types of what?
a)
Transformations
b)
Geometry
c)
Vectors
d)
Shapes
16.

What is Q' after a reflection of point Q(3,7) over the line y=x?

a)

(3, 7)

b)

(-7, -3)

c)

(-3, -7)

d)

(7, 3)

17.

If two polygons are SIMILAR, then the corresponding angles must be _____.

a)

Complementary

b)

Supplementary

c)

Congruent

d)

Linear pairs

18.
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
19.

What is M' after a 270°270\degree counter clockwise rotation of point M(4,-1)

a)

(1, -4)

b)

(-4, 1)

c)

(-1, -4)

d)

(-1, 4)

20.
A dilation produces a similar figure
a)
True
b)
False
21.

Rotation Rules (clockwise):

180o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

22.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
23.
A dilation produces a congruent figure
a)
True
b)
False
c)
D
24.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o  clockwise Rotation
d)
360o Rotation
25.

What is another word for reflection?

a)

slide

b)

flip

c)

turn