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Worksheets

Translations

Total questions: 30

Worksheet time: 30mins

Name
Class
Date
1.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
2.
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
3.
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
4.
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
5.
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
6.
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)
7.

Write the rule for this translation:

Slide 5 up and 7 right

a)

(x, y)---->(x + 5, y + 7)

b)

(x, y)-----> (x + 7, y + 5)

c)

(x, y)----> (x - 7, y + 5)

8.

When translating left or right on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

9.

When translating up or down on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

10.

Translate shape A to shape C...

a)

3 Right

5 Up

b)

3 Left

5 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

11.

Translate shape C to shape B...

a)

5 Right

1 Up

b)

5 Left

1 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

12.
Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1) 
What are the coordinates of K'? 
a)
(6, 3)
b)
(7, 3) 
c)
(7, 1) 
d)
(5, 3) 
13.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
14.
Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
15.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
16.

Point P is (-2, 4) and Point P' is (5, 14). Which are true?

a)

<7, 10>

b)

(x +10, y + 5)

c)

translate 7 right, 10 up

d)

(x - 7, y - 10)

17.

What is the component notation for this translation?

a)

<3, -4>

b)

(x - 4, y + 3)

c)

Left 4, Up 3

d)

<-4, 3>

18.

What is the translation rule that maps the point P (1, -1) to the point P' (-1, 5)?

a)

 (x, y)(x  2, y +6)\left(x,\ y\right)\rightarrow\left(x\ -\ 2,\ y\ +6\right)  

b)

 (x, y)(x +2, y  6)\left(x,\ y\right)\rightarrow\left(x\ +2,\ y\ -\ 6\right)  

c)

 (x, y)  (x2, y + 4)\left(x,\ y\right)\ \rightarrow\ \left(x-2,\ y\ +\ 4\right)  

d)

 (x, y)  (x+1, y 4)\left(x,\ y\right)\ \rightarrow\ \left(x+1,\ y\ -4\right)  

19.

What is the translation rule that maps the black image onto the blue image?

a)

(x, y)(x+6, y1)\left(x,\ y\right)\rightarrow\left(x+6,\ y-1\right)

b)

(x, y)(x6, y+1)\left(x,\ y\right)\rightarrow\left(x-6,\ y+1\right)

c)

(x, y)(x1, y+6)\left(x,\ y\right)\rightarrow\left(x-1,\ y+6\right)

d)

(x, y)(x+1, y6)\left(x,\ y\right)\rightarrow\left(x+1,\ y-6\right)

20.

What is the translation rule that maps the black image onto the blue image?

a)

(x, y)(x, y+2)\left(x,\ y\right)\rightarrow\left(x,\ y+2\right)

b)

(x, y)(x+2, y)\left(x,\ y\right)\rightarrow\left(x+2,\ y\right)

c)

(x, y)(x, y2)\left(x,\ y\right)\rightarrow\left(x,\ y-2\right)

d)

(x, y)(x2, y)\left(x,\ y\right)\rightarrow\left(x-2,\ y\right)

21.

Which graph is the image of WXYZ under  (x, y)(x1,y+5)\left(x,\ y\right)\rightarrow\left(x-1,y+5\right)  

a)
b)
c)
d)
22.

Which graph is the image of GHIF under  (x, y)(x+6,y+1)\left(x,\ y\right)\rightarrow\left(x+6,y+1\right)  

a)
b)
c)
d)
23.

What is the difference between preimage and image?

a)

Preimage is the second image or position.

b)

Preimage is different in shape and size from the second image.

c)

Image is the first shape and position.

d)

Preimage is the first image or position.

24.

What does a translation do to an image?

a)

Turns it

b)

Mirrors it

c)

Shrinks it

d)

Slides it

25.
Triangle RST is translated 6 units to the right and 4 units down to create triangle R'S'T'. Which rule describes this transformation?
a)
(x, y) --> (x + 6, y - 4)
b)
(x, y) --> (x - 6, y + 4)
c)
(x, y) --> (-6x, 4y)
d)
(x, y) --> (6x, -4y)
26.

Triangle ABC is translated by a vector of <-2, 5>. What is A'?

a)

(2, 5)

b)

(-5, 2)

c)

(-1, 0)

d)

(-1, 10)

27.

The component form of vector AB is:

a)

<5, 9>

b)

<-1, 5>

c)

<6, -5>

d)

<5, 1>

28.

With a translation vector of <6, -1>, what is the preimage of A'(5, 2)?

a)

A(11, 3)

b)

A(-1, 3)

c)

A(-5, -1)

d)

A(11, 1)

29.

Is Figure A'B'C'D' a translation of Figure ABCD?

a)

Yes

b)

No

30.

Which figure is a translation of Figure I?

a)

Figure A

b)

Figure B

c)

Figure C

d)

None of the above