Rules for Rotations

The red triangle represents what type of rotation:

• 90° clockwise

• 90° counter clockwise

• 180° counter or clockwise

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)

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

• (-y, x)

• (-x, -y)

• (y, -x)

• (-y, -x)

Does the image show a rotation? If so, what is the angle of rotation?

• 90° counterclockwise

• 180° counterclockwise

• 270° counterclockwise

• Not a rotation

Does this image show a rotation? If so, what is the angle of rotation?

• 90° counterclockwise

• 180° counterclockwise

• 270° counterclockwise

• Not a rotation

Pentagon ABCDE has a center R. Where will point A end up after a rotation of 72° clockwise?

• Point B

• Point C

• Point D

• Point E

If you rotate Pentagon ABCDE, where would point A end up after a rotation 72° counterclockwise?

• Point B

• Point C

• Point D

• Point E

If you rotate Pentagon ABCDE 216° clockwise, where will point A end up?

• Point B

• Point C

• Point D

• Point E

How many degrees of rotation are there from petal to petal for this flower?

• 60°

• 45°

• 90°

• 75°