Question

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

Answer 1

To rotate a point \( (x, y) \) 180° counterclockwise around the origin, the resulting point will be \( (-x, -y) \).

Starting with the point \( (-4, 6) \):

\[
(-x, -y) = (-(-4), -6) = (4, -6)
\]

Therefore, the resulting point after a 180° counterclockwise rotation of the point \( (-4, 6) \) is \( (4, -6) \).

So, the correct response is \( (4, -6) \).