Transformation Rules

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)

Which rule best describes this transformation?

• (x, y) → (-y, -x)

• (x, y) → (x, -y)

• (x, y) → (-x, y)

• (x, y) → (y, -x)

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)

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 90 degrees clockwise

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

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)

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

• 90⁰ clockwise

• 90⁰ counter-clockwise

• 270⁰ clockwise

• 180⁰ counter-clockwise

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

• 
• 
• 
• None of the above

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

• (x, y) --> (2x, 2y)

• (x, y) --> (x + 2, y - 2)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (x - 0.5, y - 1)