Question

Rotate a point on a line at (−4, 6) 180° counterclockwise. What is the resulting point?(1 point) Responses (6, −4) left parenthesis 6 comma negative 4 right parenthesis (−4, −6) left parenthesis negative 4 comma negative 6 right parenthesis (−6, 4) left parenthesis negative 6 comma 4 right parenthesis (4, −6)

Answer 1

To rotate a point 180° counterclockwise around the origin, the coordinates of the point (x, y) are transformed to (-x, -y).

Given the point (−4, 6):

- The x-coordinate is -4, so -(-4) = 4.
- The y-coordinate is 6, so -(6) = -6.

Thus, the new coordinates after a 180° rotation are (4, -6).

The resulting point is (4, −6).