Rotations

Front

What is the center of rotation on a coordinate plane?

Back

Origin

Front

Rotate the point (-5,8) around the origin 180 degrees counterclockwise. What is the image of the point?

Back

(5, -8)

Front

Rotate the point (-1,-2) around the origin 180 degrees. What is the image of the point?

Back

(1, 2)

Front

What is the point that turns the image during rotation?

Back

Point of Rotation

Front

What is the rule for rotating a point 180° clockwise around the origin?

Back

(x,y)→(-x,-y)

Front

What happens to the coordinates of a point when it is rotated 90° counterclockwise around the origin?

Back

(x,y)→(-y,x)

Front

What happens to the coordinates of a point when it is rotated 90° clockwise around the origin?

Back

(x,y)→(y,-x)

Front

What is the effect of rotating a point 360° around the origin?

Back

The point remains in the same position.

Front

If a point is at (3,4), what are the coordinates after a 180° rotation around the origin?

Back

(-3,-4)

Front

What is the relationship between the original point and its image after a 180° rotation?

Back

The image is the reflection of the original point through the origin.