Rotations

Front

What is the result of rotating a point (x, y) 90° clockwise about the origin?

Back

(y, -x)

Front

What is the result of rotating a point (x, y) 90° counterclockwise about the origin?

Back

(-y, x)

Front

What is the result of rotating a point (x, y) 180° about the origin?

Back

(-x, -y)

Front

What is the result of rotating a point (x, y) 270° clockwise about the origin?

Back

(-y, x)

Front

What is the result of rotating a point (x, y) 270° counterclockwise about the origin?

Back

(y, -x)

Front

How do you determine the angle of rotation for a given transformation?

Back

By measuring the angle between the original position and the new position of the point.

Front

What is the general rule for rotating a point (x, y) 180° clockwise?

Back

(x, y) → (-x, -y)

Front

What is the image of the point (3, 4) after a 90° clockwise rotation?

Back

(4, -3)

Front

What is the image of the point (-1, 2) after a 270° counterclockwise rotation?

Back

(2, 1)

Front

What is the image of the point (0, -5) after a 180° rotation?

Back

(0, 5)