Question

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

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

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

(−4, 6)

Answer 1

To rotate a point 180 degrees counterclockwise around the origin, you can use the following transformation:

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

Applying this to the point \((-4, -6)\):

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

Therefore, the new point after rotating \((-4, -6)\) by 180 degrees counterclockwise is \((4, 6)\).

So the correct answer is:

\((4, 6)\)