Determining Rotations

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 counter clockwise. State the image of the point.

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)

Rotate the point (-5,8) around the origin 90 degrees clockwise. State the image of the point.

• (-8,5)

• (8,-5)

• (8,5)

• (5,-8)

When a coordinate goes to (-x, -y) it is a 

• 180 degree rotation

• a 90 degree clockwise rotation

• a 90 degree counterclockwise rotation

• A 360 degree rotation

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 D is rotated 360° clockwise 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)→(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)

Using the graph above, rotate and graph the image of ABCD about the origin 180 degrees. Which quadrant will contain its image?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Using the graph above, rotate and graph the image of triangle ABC about the origin 270 degrees counterclockwise. Which quadrant will contain its image?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Find the image of triangle ABC after rotating 90 degrees counterclockwise about the origin. What are the coordinates of C' ?

• (3, -4)

• (-4, -3)

• (4, 3)

• (-3, 4)