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Rotate the point (−4, −6) on a geometric figure 180 degrees counterclockwise. What is the new point?(1 point) Responses (6, 4) left parenthesis 6 comma 4 right parenthesis (−6, −4) left parenthesis negative 6 comma negative 4 right parenthesis (−4, 6) left parenthesis negative 4 comma 6 right parenthesis (4, 6)

1 answer

To rotate a point \( (x, y) \) 180 degrees counterclockwise around the origin, the new coordinates will be \( (-x, -y) \).

For the point \( (-4, -6) \):

  • The x-coordinate changes from -4 to 4.
  • The y-coordinate changes from -6 to 6.

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

Therefore, the answer is \( (4, 6) \).