Question
(-4, 4) counterclockwise 180 degrees
Answers
GPT-4o mini
To rotate the point (-4, 4) counterclockwise by 180 degrees around the origin, you can use the following transformation formula for a 180-degree rotation:
\[
(x, y) \rightarrow (-x, -y)
\]
Applying this to the point (-4, 4):
- The x-coordinate becomes: -(-4) = 4
- The y-coordinate becomes: -4
Thus, the new coordinates after the rotation are:
\[
(4, -4)
\]
So, the point (-4, 4) rotated counterclockwise by 180 degrees around the origin is (4, -4).
\[
(x, y) \rightarrow (-x, -y)
\]
Applying this to the point (-4, 4):
- The x-coordinate becomes: -(-4) = 4
- The y-coordinate becomes: -4
Thus, the new coordinates after the rotation are:
\[
(4, -4)
\]
So, the point (-4, 4) rotated counterclockwise by 180 degrees around the origin is (4, -4).