Free Printable Coordinate Transformations

1.

Describe a 90^o counterclockwise rotation using coordinate notation.

a)

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

b)

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

c)

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

d)

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

2.

Describe the translation in words. ( x , y ) --> ( x - 4 , y + 8 )

a)

4 left , 8 up

b)

4 down, 8 right

c)

4 left, 8 down

d)

4 right, 8 down

3.

Rotate the point (7,8) around the origin 90 counter clockwise degrees. State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

4.

Point (-5,2) is reflected over the x axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

5.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

6.

What transformation is happening?

(2, - 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

7.

Reflect the point (-1, 2) over the y-axis.

a)

(-1, -2)

b)

(1, 2)

c)

(1, -2)

d)

(1, 4)

8.

Translate the point A (-3, 4) right 5 and up 1

a)

(-2, 9)

b)

(-8, 5)

c)

(8, 3)

d)

(2, 5)

9.

Name the image of C(6, -4) under a rotation 90 degrees counterclockwise about the origin.

a)

C'(4, 6)

b)

C'(-4, -6)

c)

C'(6, 4)

d)

C'(-6, -4)

10.

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

11.

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)

12.

Rotate the point (2, -4) 180 degrees

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

13.

Reflect (6, -3) over the line x-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

14.

A figure is translated 5 units down and 3 units to the right. Which algebraic representation best describes this transformation?

a)

$\left(x,y\right)\rightarrow\left(x-5,y+3\right)$

b)

$\left(x,y\right)\rightarrow\left(x-5,y-3\right)$

c)

$\left(x,y\right)\rightarrow\left(x+3,\ y-5\right)$

d)

$\left(x,y\right)\rightarrow\left(x-3,y-5\right)$

15.

A point is located at (7,-9) and is reflected across the x-axis. Which algebraic representation shows this transformation?

a)

$\left(x,y\right)\rightarrow\left(x,-y\right)$

b)

$\left(x,y\right)\rightarrow\left(-x,y\right)$

c)

$\left(x,y\right)\rightarrow\left(-x,-y\right)$

d)

$\left(x,y\right)\rightarrow\left(y,-x\right)$

16.

A figure is is rotated $90\degree$ clockwise. Which algebraic representation best describes this transformation?

a)

$\left(x,y\right)\rightarrow\left(y,x\right)$

b)

$\left(x,y\right)\rightarrow\left(y,-x\right)$

c)

$\left(x,y\right)\rightarrow\left(-y,x\right)$

d)

$\left(x,y\right)\rightarrow\left(-x,-y\right)$

Coordinate Transformations

Total questions: 16

Worksheet time: 1hrs 8mins

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