Rotations About a Point

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

• (-4,-3)

• (-4,3)

• (4,-3)

• (3,4)

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

What is the definition of rotation?

• To move up, down, left, or right.

• To flip.

• To make a circular movement around a point.

• To mirror.

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)

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 (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

• 270 counterclockwise 

• 90 degrees clockwise