Free Printable Algebraic Representations Transformations

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Algebraic Representations Transformations

Total questions: 50

Worksheet time: 7hrs 19mins

Name

Class

Date

What is the algebraic representation that describes this reflection?

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

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

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

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

What is the algebraic representation that describes this rotations?

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

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

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

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

What is the algebraic representation that describes this translation?

( x , y ) --> ( x , y + 4 )

( x , y ) --> ( x - 4 , y )

( x , y ) --> ( x , y - 4 )

( x , y ) --> ( x + 4 , y )

What is the algebraic representation that describes this reflection?

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

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

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

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

What is the algebraic representation that describes this reflection?

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

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

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

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

What is the algebraic representation that describes this reflection?

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

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

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

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

What is the algebraic representation that describes this reflection?

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

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

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

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

What is the algebraic representation that describes this reflection?

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

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

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

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

What is the algebraic representation that describes this translation?

( x , y ) --> ( x + 3 , y + 1 )

( x , y ) --> ( x - 1 , y - 3 )

( x , y ) --> ( x + 3 , y - 1 )

( x , y ) --> ( x - 1 , y + 3 )

10.

What is the algebraic representation that describes this translation?

( x , y ) --> ( x + 1 , y + 1 )

( x , y ) --> ( x - 1 , y - 1 )

( x , y ) --> ( x + 1 , y - 1 )

( x , y ) --> ( x - 1 , y + 1 )

11.

What is the algebraic representation that describes this translation?

( x , y ) --> ( x , y -1 )

( x , y ) --> ( x - 1 , y )

( x , y ) --> ( x + 1 , y )

( x , y ) --> ( x , y + 1 )

12.

What is the algebraic representation that describes this translation?

( x , y ) --> ( x + 3 , y + 1 )

( x , y ) --> ( x - 3 , y - 1 )

( x , y ) --> ( x + 1 , y - 3 )

( x , y ) --> ( x - 1 , y + 3 )

13.

What is the algebraic representation that describes this translation?

( x , y ) --> ( x + 2 , y + 1 )

( x , y ) --> ( x - 2 , y - 1 )

( x , y ) --> ( x + 2 , y - 1 )

( x , y ) --> ( x - 2 , y + 1 )

14.

What is the algebraic representation that describes this rotations?

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

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

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

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

15.

What is the algebraic representation that describes this rotations?

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

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

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

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

16.

What is the algebraic representation that describes this rotations?

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

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

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

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

17.

What is the algebraic representation that describes this rotations?

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

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

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

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

18.

What is the algebraic representation that describes this rotations?

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

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

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

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

19.

What is the algebraic representation for this dilation?

( x , y ) --> ( 3/2 x , 3/2 y )

( x , y ) --> ( 1.5 x , 1.5 y )

( x , y ) --> ( 2/3 x , 2/3 y )

( x , y ) --> ( 0.33 x , 0.33 y )

20.

What is the algebraic representation for this dilation?

( x , y ) --> ( 2 x , 2 y )

( x , y ) --> ( x -2 , y -2 )

( x , y ) --> ( x +2 , y + 2 )

( x , y ) --> ( 1/2 x , 1/2 y )

21.

What is the algebraic representation for this dilation?

( x , y ) --> ( 3/2 x , 3/2 y )

( x , y ) --> ( 1.5 x , 1.5 y )

( x , y ) --> ( 2/3 x , 2/3 y )

( x , y ) --> ( 0.33 x , 0.33 y )

22.

What is the algebraic representation for this dilation?

( x , y ) --> ( 1/2 x , 1/2 y )

( x , y ) --> ( 2 x , 2 y )

( x , y ) --> ( 1/2 x , 2 y )

( x , y ) --> ( 2 x , 1/2 y )

23.

What is the algebraic representation for this dilation?

( x , y ) --> ( 25 x , 25 y )

( x , y ) --> ( 0.25 x , 0.25 y )

( x , y ) --> ( 2.5 x , 2.5 y )

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

24.

What is the algebraic representation for this dilation?

( x , y ) --> ( 3/7 x , 3/7 y )

( x , y ) --> ( 7/3 x , 7/3 y )

( x , y ) --> ( 3x , 7y )

( x , y ) --> ( x +3 , y +7 )

25.

What is the algebraic representation for this dilation?

( x , y ) --> ( 6/3 x , 6/3 y )

( x , y ) --> ( 2 x , 2 y )

( x , y ) --> ( 6x , 3y )

( x , y ) --> ( x +3 , y +6 )

26.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

(5,3), (6,2), (1,-2)

(6,0), (9,-3), (-6,-15)

(2/3,0), (1,-1/3), (-2/3,-5/3)

(-1,-3), (0,-4), (-5,-8)

27.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

28.

A scale factor of less than one means

that the image will be larger than the pre-image.

That the image will be the same as the pre-image.

That you need to subtract that amount off of each side.

That the image will be a reduction of the pre-image.

29.

Write a rule for a dilation of (x, y) with a scale factor of 3.

(1/3x, 1/3y)

(-3x, -3y)

(x + 3, y + 3)

(3x, 3y)

30.

Write a rule for a dilation of 1/2?

(2x, 2y)

(1/2x, 1/2y)

(-2x, -2y)

(2x, 1/2y)

31.

Which of the following is the algebraic representation for a dilation?

(x, y) → (x, 3y)

(x, y) → (3x, 3y)

(x, y) → (x, y - 3)

(x, y) → (.5x, .4y)

32.

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?

33.

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?

34.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

35.

If the coordinates of a re-image are (X,Y), which motion rule represents a clockwise rotation of 90 degree about the origin?

(X,Y)-->(X,Y)

(X,Y)-->(-X,-Y)

(X,Y)-->(-Y,X)

(X,Y)-->(Y,-X)

36.

If the coordinates of a re-image are (X,Y), which motion rule represents a clockwise rotation of 180 degrees about the origin?

(X,Y)-->(X,Y)

(X,Y)-->(-X,-Y)

(X,Y)-->(-Y,X)

(X,Y)-->(Y,-X)

37.

If the coordinates of a re-image are (X,Y), which motion rule represents a clockwise rotation of 270 degrees about the origin?

(X,Y)-->(X,Y)

(X,Y)-->(-X,-Y)

(X,Y)-->(-Y,X)

(X,Y)-->(Y,-X)

38.

If Coordinates (0,4) is rotated 180 degrees clockwise, which of the following would be the coordinates of the prime?

(0,-4)

(0,4)

(-4,0)

(4,0)

39.

If the coordinates of a re-image are (X,Y), which motion rule represents a clockwise rotation of 360 degrees about the origin?

(X,Y)-->(X,Y)

(X,Y)-->(-X,-Y)

(X,Y)-->(-Y,X)

(X,Y)-->(Y,-X)

40.

When you rotate 180 degrees the ( x , y ) becomes ?

( y , x )

( -y , x )

( -x , y )

( -x , -y )

41.

When you rotate 90 degrees counterclockwise the ( x , y ) becomes ?

( -x , -y )

( -y , x )

( -y , -x )

( y , x )

42.

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

(6, 3)

(-6, -3)

(-3, 6)

(3, -6)

43.

The point ( -2,5) is reflected over the line x = 1. Find its image.

( 4, 5)

( -2 , -5)

( 2 , 5)

(2 , -5)

44.

Which rule would dilate shows a scale factor of 4

(x, y) → (y, x)

(x, y) → (x + 4, y + 4)

(x, y) → (x, -y)

(x, y) → (4x, 4y)

45.

Which rule would result in a clockwise rotation of 90° about the origin?

(x, y) → (y, x)

(x, y) → (4x, 4y)

(x, y) → (x, -y)

(x, y) → (x + 4, y + 4)

46.

Which rule would result in a translation of 2 units left and 3 units up?

(x, y) → (2x, 3y)

(x, y) → (x - 2, y + 3)

(x, y) → (-x, -y)

(x, y) → (x + 2, y - 3)

47.

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

(-2, 9)

(-8, 5)

(8, 3)

(2, 5)

48.

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

addition

subtraction

multiplication

division

49.

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

(-4, 2)

(-2, 4)

(-2, -4)

(2, 4)

50.

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

(6, 3)

(-6, -3)

(-3, 6)

(3, -6)

100 %

Algebraic Representations Transformations

Total questions: 50

Worksheet time: 7hrs 19mins

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