Rotate the point (−4, −6)

on a geometric figure 180 degrees counterclockwise. What is the new point?(1 point)
Responses

(4, 6)

(6, 4)

(−4, 6)

(−6, −4)

1 answer

To rotate a point 180 degrees counterclockwise around the origin, you change the signs of both the x and y coordinates.

For the point (-4, -6):

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

Thus, the new point after a 180-degree counterclockwise rotation is (4, 6).

So, the correct response is: (4, 6).