Rules for Rotations

Triangle A is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

• (x,y)→(y, -x) 

• (x,y)→(x,y)

• (x,y)→(-y,x)

• (x,y)→(-x,-y)

Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.

• (5,-5)

• (5,5)

• (-5,5)

• (-5,-5)

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 90 degrees clockwise

The image A'B'C' is a rotation of ABC.

• True

• False

Identify the rule after a 90° CLOCKWISE rotation:
(x, y) ---> ___________

• ( x, -y)

• ( y , -x)

• ( -y, x)

• ( -x, -y)

Identify the rule after a 270° CLOCKWISE rotation:
(x, y) ---> ___________

• (y, -x)

• ( -x, -y)

• (-y, x)

• ( y, x)

Identify the rule after a 270° COUNTER CLOCKWISE rotation:(x, y) ---> ___________

• ( y, x)

• ( y, -x)

• ( -x, -y)

• ( x, y)

The red triangle represents what type of rotation:

• 180° Clockwise

• 90° Counter Clockwise

• 90° Clockwise

• 270° Counter Clockwise

The red triangle represents what type of rotation:

• 180° Clockwise or counter clockwise

• 90° clockwise

• 90° counter clockwise