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Transformations Review

Total questions: 42

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

To translate the blue shape to the pink shape, which of the following do we need to do?

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

2.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
3.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

d)

(x-9, y+2)

4.
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
5.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
6.
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 2, down 3
7.
What happens to (-9, 3) when it is translated 4 units down and 3 units right?
a)
(-6, -1)
b)
(-13, 6)
c)
(-5, 6)
d)
(-6, 7)
8.
Point M (-3, 5) is translated using this rule. 
(x, y) ----> (x - 1, y) 
What are the coordinates of M'?
a)
(-4, 5)
b)
(-2, 5)
c)
(-4, 4)
d)
None of these
9.

What is the algebraic representation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) -->

(x - 9, y + 3)

b)

(x, y) -->

(x + 9, y - 3)

c)

(x, y) -->

(x + 3, y - 9)

d)

(x, y) -->

(9x, 3y)

10.
What does this transformation say to do?
(x, y) -----> (x, y +4) 
a)
slide down 4
b)
slide up 4
c)
slide right 4
d)
slide left 4
11.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
12.

Which two triangles are reflections of each other across the x-axis?

a)

A and B

b)

B and D

c)

A and C

d)

C and D

13.

Which two triangles are reflections of each other across the y-axis?

a)

A and B

b)

B and D

c)

A and C

d)

C and D

14.

How would you describe the translation of triangle C to triangle B?

(a)  

15.

Which two quadrilaterals are reflections of each other across the y-axis?

a)

F and G

b)

G and H

c)

H and J

d)

F and J

16.

How are quadrilaterals H and J related?

a)

They are reflections across the y-axis

b)

They are rotations around the origin.

c)

They are translations of each other.

17.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
18.
Where will A' be at, if triangle ABC is reflected by
(x,y) --> (-x,y)?
a)
(2,1)
b)
(1,-2)
c)
(-1,2)
19.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
20.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
21.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
22.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
23.

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

24.
Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
25.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
26.
Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.
a)
(5,-5)
b)
(5,5)
c)
(-5,5)
d)
(-5,-5)
27.

A figure is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?

a)

(x,y)→(x,y)

b)

(x,y)→(-y,x)

c)

(x,y)→(y, -x)

d)

(x,y)→(-x,-y)

28.

What is a transformation that turns a figure about a fixed point for a given angle?

a)

Tanslation

b)

Reflection

c)

Rotation

d)

Point of Rotation

29.

Rotate the point (-1,-2) around the origin 180 degrees. State the image of the point.

a)

(-1,2)

b)

(1, -2)

c)

(1, 2)

d)

(-2, -1)

30.

Rotate A(-4,4) B(-5,1) C(-3, 1)....90 degrees clockwise

a)

A(4,4) B(-5,-1) C(3, -1)

b)

A(4, -4) B(1, -5) C(3, -1)

c)

A(-4, -4) B(-1, -5) C(-1,-3)

d)

A(4, 4) B(1,5) C(1,3)

31.
a)

G

b)

F

c)

H

d)

J

32.
a)

A

b)

B

c)

C

d)

D

33.
a)

D

b)

A

c)

B

d)

C

34.
a)

C

b)

A

c)

B

d)

D

35.
a)

C

b)

A

c)

B

d)

D

36.
a)

C

b)

A

c)

B

d)

D

37.
a)

C

b)

A

c)

B

d)

D

38.
a)

C

b)

A

c)

B

d)

D

39.
a)

B

b)

A

c)

C

d)

D

40.
a)

C

b)

A

c)

B

d)

D

41.
a)

B

b)

A

c)

C

d)

D

42.
a)

D

b)

A

c)

B

d)

C

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