Question

Rotate the point (−4, −6)
(
−
4
,

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

(6, 4)
(
6
,

4
)
left parenthesis 6 comma 4 right parenthesis

(−6, −4)
(
−
6
,

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

(4, 6)
(
4
,

6
)
left parenthesis 4 comma 6 right parenthesis

(−4, 6)

Answer 1

To rotate a point 180 degrees counterclockwise, the new coordinates of a point \((x, y)\) become \((-x, -y)\).

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

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

Therefore, the new point after a 180-degree rotation is:

\((4, 6)\).

So the correct response is:

(4, 6)