Transformations: Rotations

• 180^o, (x,y)→(-x,-y)

• 90^o, (x,y)→(y,-x)

• 270^o, (x,y) →(-y,x)

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

Triangle A is rotated 270° counterclockwise about the origin. Which rule describes rotating 270° counterclockwise?

• (x,y)→(y, -x)

• (x,y)→(x,y)

• (x,y)→(-y,x)

• (x,y)→(-x,-y)

Quadrilateral ABCD is shown on the coordinate grid. Mrs. Berger will rotate the figure 90 degrees counter-clockwise to create quadrilateral A’B’C’D’. Which ordered rule describes this transformation?

• (x, y) → (y,-x)

• (x, y) → (-y, x)

• (x, y) → (-y,-x)

• (x, y) → (x-6, y)

At what angle is PQRS rotated to form P'Q'R'S?

• 90⁰ clockwise

• 90⁰ counter-clockwise

• 270⁰ clockwise

• 180⁰ counter-clockwise

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 90 degrees clockwise

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Identify the rule after a 180° CLOCKWISE or COUNTER CLOCKWISE
(x, y) ---> ___________

• ( -x, -y)

• ( -y, x)

• ( -x, y)

• (y, -x)

The rule for rotation of 180 degrees is  
(x, y) --> _

• (-y, x)

• (-x, -y)

• (y, -x)

• (-y, -x)

Which of the following images show a rotation of 270⁰ counter-clockwise?

• 
• 
• 
• None of the above