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Given a point (9,−3)

on a geometric figure, what is the new point when the figure is rotated counterclockwise about the origin 180 degrees?(1 point)
Responses

(9,3)
left parenthesis 9 comma 3 right parenthesis

(−9,3)

left parenthesis negative 9 comma 3 right parenthesis

(−3,9)
left parenthesis negative 3 comma 9 right parenthesis

(−9,−3)

1 answer

To find the new coordinates of the point (9, -3) when it is rotated counterclockwise about the origin 180 degrees, you can use the following rule for rotation:

  • A 180-degree rotation around the origin changes the coordinates (x, y) to (-x, -y).

Applying this rule to the point (9, -3):

  • The new x-coordinate will be -9.
  • The new y-coordinate will be -(-3), which is 3.

So the new point after the rotation is (-9, 3).

Therefore, the correct response is:

(−9, 3).