Question
(-4, 0) counterclockwise 180 degrees
Answers
GPT-4o mini
To rotate the point \((-4, 0)\) counterclockwise by 180 degrees around the origin, you can use the rotation formula or simply realize that a 180-degree rotation will invert the coordinates.
The general rule for rotating a point \((x, y)\) by 180 degrees around the origin is:
\[
(x, y) \rightarrow (-x, -y)
\]
Applying this to the point \((-4, 0)\):
\[
(-4, 0) \rightarrow -(-4), -0) = (4, 0)
\]
Thus, the point \((-4, 0)\) rotated counterclockwise by 180 degrees around the origin is \((4, 0)\).
The general rule for rotating a point \((x, y)\) by 180 degrees around the origin is:
\[
(x, y) \rightarrow (-x, -y)
\]
Applying this to the point \((-4, 0)\):
\[
(-4, 0) \rightarrow -(-4), -0) = (4, 0)
\]
Thus, the point \((-4, 0)\) rotated counterclockwise by 180 degrees around the origin is \((4, 0)\).