Rotate the point (−4, −6)

Question

(
−
4
,

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

(−4, 6)
(
−
4
,

6
)
left parenthesis negative 4 comma 6 right parenthesis

(−6, −4)
(
−
6
,

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

(6, 4)
(
6
,

4
)
left parenthesis 6 comma 4 right parenthesis

(4, 6)

Answer 1

To rotate a point 180 degrees counterclockwise around the origin, you can simply negate both coordinates of the point.

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

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

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

The answer is \( (4, 6) \).