Rotate the point (−4, −6)

Question

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

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

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

(6, 4)

Answer 1

To rotate the point \((-4, -6)\) 180 degrees counterclockwise, you can use the rotation rule for 180 degrees, which changes the coordinates \((x, y)\) to \((-x, -y)\).

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

1. Negate the x-coordinate: \(-(-4) = 4\)
2. Negate the y-coordinate: \(-(-6) = 6\)

So, the new point after a 180-degree counterclockwise rotation will be \((4, 6)\).

The correct response is:

\((4, 6)\)