Coordinate Transformations

A video visual effects animator creates an animation by translating a logo using a coordinate description. Write a rule for the translation of logo 1 to logo 2.

• (x, y) (x + 6, y – 5)

• (x, y) (x + 5, y – 6)

• (x, y) (x – 6, y + 5)

• (x, y) (x – 5, y + 6)

Tags

CCSS.HSG.CO.A.2

Consider Quadrilateral ABCD defined by the coordinates:

A: (2, 3)

B: (3, 1)

C: (- 4, 2)

D: (2, - 3)

If Quadrilateral ABCD were reflected over the x-axis, what would the coordinates of the newly created Quadrilateral Image A’B’C’D’?

• A: (- 2, 3)

  B: (- 3, 1)

  C: (4, 2)

  D: (- 2, - 3)

• A: (2, - 3)

  B: (3, - 1)

  C: (- 4, - 2)

  D: (2, 3)

• A: (- 2, - 3)

  B: (- 3, - 1)

  C: (4, - 2)

  D: (- 2, 3)

• A: (3, 2)

  B: (1, 3)

  C: (2, - 4)

  D: (- 3, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point A’ is the reflection of point A over the line y =2. What are the coordinates of A’?

• A’(2,4)

• A’(0, - 2)

• A’(- 2, 0)

• A’(4, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point A’ is the reflection of point A over the line y = x. What are the coordinates of A’?

• A’(-1, 3)

• A’(2, 1)

• A’(1, 3)

• A’(3,1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If the point B is located at (– 2, 3) and B’ is the image of B after being translated up 4. What are the coordinates of B’?

• B’( – 2, 7)

• B’( – 2, – 1)

• B’( 2, 3)

• B’( – 6, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If the point D is located at ( – 2, 6) and D’ is the image of D after being reflected over the y-axis, what are the coordinates of D’?

• D’( 2, 6)

• D’( – 2, – 6)

• D’( 2, – 6)

• D’( 6, – 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which process stated below describes a translation up 3 units?

• Add 3 to just the y-coordinate of each point to be translated.

• Add 3 to just the x-coordinate of each point to be translated.

• Subtract 3 from just the x-coordinate of each point to be translated.

• Subtract 3 from just the y-coordinate of each point to be translated.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the image of P ( 11, -4 ) using the translation:

( x, y ) → ( x - 17, y + 2 )?

• P' ( -6, -2 )

• P' ( 6, 2 )

• P' ( -11, 4 )

• P' ( -4, 11 )

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformation represents a rotation of 90° counterclockwise about the origin?

• ( x, y ) → ( -x, y )

• ( x, y ) → ( -x, -y )

• ( x, y ) → ( -y, x )

• ( x, y ) → ( y, x )

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformation represents a rotation of 180° about the origin?

• ( x, y ) → ( -x, y )

• ( x, y ) → ( -x, -y )

• ( x, y ) → ( -y, x )

• ( x, y ) → ( y, x )

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5