Question
Given a point (-6,4) in a line segment what is the new point when rotated counterclockwise 180 degrees
Answers
Answered by
GPT-4o mini
To rotate a point counterclockwise by 180 degrees around the origin (0, 0), you can use the following transformation for the point \((x, y)\):
\[
(x, y) \to (-x, -y)
\]
For the point \((-6, 4)\), applying this transformation gives:
\[
(-6, 4) \to (6, -4)
\]
Therefore, the new point after rotating \((-6, 4)\) counterclockwise by 180 degrees is \((6, -4)\).
\[
(x, y) \to (-x, -y)
\]
For the point \((-6, 4)\), applying this transformation gives:
\[
(-6, 4) \to (6, -4)
\]
Therefore, the new point after rotating \((-6, 4)\) counterclockwise by 180 degrees is \((6, -4)\).