Question

Rotate the point (−4, −6) on a geometric figure 180 degrees counterclockwise. What is the new point?(1 point) Responses (−4, 6) left parenthesis negative 4 comma 6 right parenthesis (4, 6) left parenthesis 4 comma 6 right parenthesis (6, 4) left parenthesis 6 comma 4 right parenthesis (−6, −4)

Answer 1

To rotate a point \((x, y)\) by 180 degrees counterclockwise around the origin, we can use the formula:

\[
(x', y') = (-x, -y)
\]

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

\[
x' = -(-4) = 4
\]
\[
y' = -(-6) = 6
\]

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

The correct response is \((4, 6)\).