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Worksheets

Transformation Formulas

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Which rule describes the action of the coordinates when a figure is reflected over the y-axis?

a)

(x, y)→(x, -y)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

2.

Which rule describes the action of the coordinates when a figure is reflected over the x-axis?

a)

(x, y)→(x, -y)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

3.

Which rule describes the action of the coordinates when a figure is rotated 90o about the origin?

a)

(x, y)→(-y, x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

4.

Which rule describes the action of the coordinates when a figure is rotated 270o about the origin?

a)

(x, y)→(-y, x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

5.

Which rule describes the action of the coordinates when a figure is reflected over the line y = x?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, x)

6.

Which rule describes the action of the coordinates when a figure is reflected over the line y = -x?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, x)

7.

Which rule describes the action of the coordinates when a figure is dilated by a scale factor of 2 centered at the origin?

a)

(x, y)→(x+2,y+2)

b)

(x, y)→(2x, 2y)

c)

(x, y)→(1/2x, 1/2y)

d)

(x, y)→(x-2,y-2)

8.

Which rule describes the action of the coordinates when a figure is dilated by a scale factor of 1/2 centered at the origin?

a)

(x, y)→(x+2,y+2)

b)

(x, y)→(2x, 2y)

c)

(x, y)→(1/2x, 1/2y)

d)

(x, y)→(x-2,y-2)

9.

Which rule describes the action of the coordinates when a figure is translated 5 units right and 2 units down?

a)

(x, y)→(x+5,y+2)

b)

(x, y)→(x+5, y-2)

c)

(x, y)→(x-5, y-2)

d)

(x, y)→(x-5,y+2)

10.

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)

11.

Reflect over the x-axis

a)

(-2, 2), B' (3, 2)

b)

(-2, -2), B' (3, -2)

c)

(2, -2), B' (-3, -2)

d)

(2, -2), B' (2, 3)

12.

Reflect the figure across the y-axis. What are the coordinates of A'?

a)

(-2, -4)

b)

(2, 4)

c)

(-2, 4)

d)

(2, -4)

13.

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

a)

(x-2, y+5)

b)

(x+2, y-9)

c)

(x-2, y+9)

d)

(x-9, y+2)

14.

Identify the transformation from ABC to A'B'C'.

a)

90o clockwise rotation

b)

90o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

15.

Which algebraic rule will produce a translation that is 5 units to the right?

a)

(x, y)  --> ( x ,  y + 5)

b)

(x, y)  --> (  x-5 ,  y + 5)

c)

(x, y)  --> (  x-2 ,  y + 5)

d)

(x, y)  --> (  x+5 ,  y)

16.

Translated figures are always __________________.

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

17.

In a dilation what mathematical operation is used with the scale factor?

a)

addition 

b)

subtraction 

c)

multiplication 

d)

division 

18.

The rule for reflection over the y-axis is  
(x, y) --> _

a)

(-x, y)

b)

(x, -y)

c)

(y, x)

d)

(-y, x)

19.

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)

20.

The rule for rotation of 90 degrees counterclockwise is  
(x, y) --> _

a)

(y, -x)

b)

(-y, x)

c)

(x, -y)

d)

(-x, y)