Rotations Around the Origin

Rotate K(2,5) 180 degrees about the origin.

• K'(-5,2)

• K'(-2,-5)

• K'(5,-2)

• K'(-5,-2)

Identify the rotation performed on the figure given.

• 90 degrees clockwise (270 degrees counterclockwise)

• 90 degrees counterclockwise (270 degrees clockwise)

• 180 degrees

Identify the rotation performed on the figure given.

• 90 degrees clockwise (270 degrees counterclockwise)

• 90 degrees counterclockwise (270 degrees clockwise)

• 180 degrees

Triangle A is rotated 270° 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 C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?

• (x,y)→(y, -x) 

• (x,y)→(-x,-y)

• (x,y)→(x,y)

• (x,y)→(-y,x)

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

• (x,y)→(y, -x) 

• (x,y)→(x,y)

• (x,y)→(-x,-y)

• (x,y)→(-y,x)

Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

• (-8,5)

• (8,-5)

• (8,5)

• (5,-8)

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)

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)