Question

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

(4, 6)

left parenthesis 4 comma 6 right parenthesis
(6, 4)
left parenthesis 6 comma 4 right parenthesis
(−4, 6)
left parenthesis negative 4 comma 6 right parenthesis
(−6, −4)

Answer 1

To rotate a point \( (x, y) \) by 180 degrees counterclockwise, you can use the transformation:

\[
(x, y) \rightarrow (-x, -y)
\]

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

\[
(-4, -6) \rightarrow (4, 6)
\]

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

So the correct response is:

**(4, 6)**