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)
1 answer
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 \((4, 6)\).
