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 negative 6 comma negative 4 right parenthesis

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

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

(4, 6)

Answer 1

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

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

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

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

So, the new point after the rotation is \( (4, 6) \).

The correct response is:

(4, 6)