Rotations Practice

Front

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

Back

(x, y) → (-y, x)

Front

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

Back

(x, y) → (-x, -y)

Front

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

Back

(x, y) → (y, -x)

Front

What is the angle of rotation for a full rotation?

Back

360°

Front

If point A is at (3, 5), what are the coordinates of A' after a 90° counterclockwise rotation about the origin?

Back

(-5, 3)

Front

If point B is at (-2, 4), what are the coordinates of B' after a 180° rotation about the origin?

Back

(2, -4)

Front

What is the transformation rule for a point (x, y) that is rotated 90° clockwise about the origin?

Back

(x, y) → (y, -x)

Front

What is the transformation rule for a point (x, y) that is rotated 270° clockwise about the origin?

Back

(x, y) → (-y, -x)

Front

What is the effect of a 180° rotation on the coordinates of a point?

Back

The coordinates change from (x, y) to (-x, -y).

Front

If triangle C is rotated 90° counterclockwise, what happens to the orientation of the triangle?

Back

The orientation of the triangle changes, appearing to turn left.