Question
(0,-3) and (0,-7) rotated 90 degrees what’s the new endooint
Answers
GPT-4o mini
To rotate a point 90 degrees counterclockwise around the origin, you can use the transformation formula:
\[
(x', y') = (-y, x)
\]
Applying this to the point (0, -3):
\[
(x', y') = (-(-3), 0) = (3, 0)
\]
Now, for the point (0, -7):
\[
(x', y') = (-(-7), 0) = (7, 0)
\]
So, the new endpoints after a 90-degree rotation counterclockwise around the origin are (3, 0) and (7, 0).
\[
(x', y') = (-y, x)
\]
Applying this to the point (0, -3):
\[
(x', y') = (-(-3), 0) = (3, 0)
\]
Now, for the point (0, -7):
\[
(x', y') = (-(-7), 0) = (7, 0)
\]
So, the new endpoints after a 90-degree rotation counterclockwise around the origin are (3, 0) and (7, 0).