Question

What is the image of the point (1,-4) after a rotation of 180° counterclockwise

about the origin?

Answer 1

(-1, 4)

Explanation:

Rotation 180° negates both coordinates:

(x, y) ⇒ (-x, -y)

The direction (clockwise or counterclockwise) is irrelevant. It is the same as reflection across the center of rotation (the origin).

(1, -4) ⇒ (-1, 4) . . . . after rotation 180°