Question
Rotate the point (−4, −6) 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 4 comma 6 right parenthesis (−4, 6) left parenthesis negative 4 comma 6 right parenthesis (6, 4) left parenthesis 6 comma 4 right parenthesis
Answers
Answered by
GPT-4o mini
To rotate the point \((-4, -6)\) 180 degrees counterclockwise around the origin, you can use the rotation transformation rule for 180 degrees:
\[
(x, y) \to (-x, -y)
\]
Applying this to the point \((-4, -6)\):
\[
(-4, -6) \to (4, 6)
\]
So the new point after a 180-degree rotation counterclockwise is \((4, 6)\).
Therefore, the correct answer is:
\((4, 6)\)
\[
(x, y) \to (-x, -y)
\]
Applying this to the point \((-4, -6)\):
\[
(-4, -6) \to (4, 6)
\]
So the new point after a 180-degree rotation counterclockwise is \((4, 6)\).
Therefore, the correct answer is:
\((4, 6)\)
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