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Worksheets

Transformation Test

Total questions: 40

Worksheet time: 1hrs 23mins

Name
Class
Date
1.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
2.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
3.

How many lines of symmetry does this shape have?

a)

3

b)

12

c)

4

d)

6

4.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
5.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
6.

What transformation is the image showing?

a)

Rotation 180 degrees clockwise

b)

Dilation by 2

c)

translation to the right

d)

Dilation by 1/2

7.
If the scale factor is greater than 1, the dilation is...
a)
an enlargement
b)
a rotation
c)
a translation
d)
a reduction
8.
Dilation rules use ______________ to change the ___________ of a shape. 
a)
addition; location
b)
division; direction
c)
subtraction; orientation
d)
multiplication; size
9.

Which sequence of transformations would maintain congruence?

a)

reflect across the x-axis, reflect across the y-axis, dilate by 1/2

b)

Translate three units down, rotate 180º about the origin, reflect across the x-axis

c)

Reflect across the x-axis, dilate by a factor of 2

d)

Rotate 180 degrees, dilate by 2, then translate down 5

10.

Which scale factor shrinks a figure?

a)

k = 0

b)

k =2

c)

k= 1/3

d)

k = 1

11.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees around the origin and then translate down.
c)
Reflect across the x-axis and then reflect across the y-axis.
d)
Translate up and then rotate 90 degrees about the origin.
12.

One side of a triangle on the coordinate plane is 4 units long. If it undergoes a dilation about the origin with a scale factor of 2, what will the length be?

a)

2

b)

4

c)

8

d)

6

13.

Which series of transformations were performed in the picture?

a)

Translation 5 units down, reflection over the y-axis

b)

Reflection over the x-axis, translation 6 units right

c)

Rotation 90o clockwise, reflection over the x-axis

d)

Rotation 180o clockwise, reflection over the y-axis

14.

What are the coordinates of C(-6, 2) and B(-1, -1) if rotated 90 degrees counterclockwise?

a)

C' (-6, 2), B' (-1, -1)

b)

C' (6, 2), B' (1, -1)

c)

C' (2, -6), B' (-1, -1)

d)

C' (-2, -6), B' (1, -1)

15.

Line segment CD is translated left 5 units and down 1 unit to form line segment C'D'. What is the distance between point C' and point D'?

a)

3 units

b)

4 units

c)

5 units

d)

6 units

16.

A 115 degree angle is translated 4 units right and 1 unit down. What is the measure of the angle in the image?

a)

230 degrees

b)

57.5 degrees

c)

118 degrees

d)

115 degrees

17.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
18.

How many lines of symmetry does this shape have?

a)

2

b)

4

c)

16

d)

8

19.
How many lines of symmetry does the butterfly have?
a)
1
b)
2
c)
3
d)
4
20.

A circle has ______ number of lines of symmetry

a)

4

b)

2

c)

6

d)

infinite / countless

21.

Which one of these triangles has the most lines of symmetry?

a)

Scalene Triangle

b)

Isosceles Triangle

c)

Equilateral Triangle

d)

Right isosceles Triangle

22.

Which of the following letters has a vertical line of symmetry?

a)

B

b)

E

c)

V

d)

S

23.

Which of the following letters does not have line symmetry, but does have rotational symmetry?

a)

H

b)

I

c)

Z

d)

X

24.

Identify the smallest angle of rotation that maps the image onto itself.

a)

180°

b)

360°

c)

90°

d)

No rotational symmetry

25.

Identify the smallest angle of rotation that maps the image onto itself.

a)

72°

b)

180°

c)

144°

d)

45°

26.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
27.

Rotate the point (-3,-4) around the origin 180 degrees. State the coordinates of the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(3,-4)

d)

(3,4)

28.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
29.
A rigid motion ...
a)
preserves size and location
b)
preserves shape and location
c)
preserves size and shape
d)
makes the figure larger
30.

What type of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

31.

An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.

a)

2

b)

3

c)

4

d)

6

32.
Given C(2, 9), under which reflection is C'(-2, 9)?
a)
reflected in the x-axis
b)
reflected in the y-axis
c)
reflected in the line x = 2
d)
reflected in the line y = x
33.

Identify the line of reflection.

a)

x-axis

b)

y-axis

c)

x = -2

d)

y = -2

34.

Reflect B(-2, -4) over the line y = x.

a)

(2, -4)

b)

(-4, 2)

c)

(-4, -2)

d)

(4, 2)

35.
Which of the following is an acceptable explanation why transformed figures are congruent to the original figures.
a)
The figures are actually NOT congruent.
b)
It depends on whether you translated, rotated, or reflected.
c)
Side lengths and angles measures stay the same when transformed.
d)
The figures look the same.
36.

A figure is located entirely in quadrant III. If it is reflected over the y-axis, in which quadrant will its image lie?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

37.

Which transformation can result in an image which is similar to, but not congruent to the pre-image?

a)

180 Degree Rotation

b)

Dilation

c)

Reflection

d)

90 Degree Rotation

38.

If (4,-2) → (4,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

a)

90

b)

180

c)

270

d)

360

39.

If you were to Rotate segment AB 180º, and segment AB was 8 units long, how long is segment A'B'?

a)

16

b)

4

c)

172

d)

8

40.

Point P(-2,3) is translated to point P'(-6,-4). Under the same translation, find the coordinates for S' if the coordinates for point S are S(5,-1).

a)

(9,6)

b)

(-1,-5)

c)

(1,-8)

d)

(3,2)